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  • 1. Axelsson, Owe
    et al.
    Boyanova, Petia
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Kronbichler, Martin
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Neytcheva, Maya
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Wu, Xunxun
    Numerical and computational efficiency of solvers for two-phase problems2012Report (Other academic)
  • 2. Axelsson, Owe
    et al.
    Boyanova, Petia
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Kronbichler, Martin
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Neytcheva, Maya
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Wu, Xunxun
    Numerical and computational efficiency of solvers for two-phase problems2013In: Computers and Mathematics with Applications, ISSN 0898-1221, E-ISSN 1873-7668, Vol. 65, p. 301-314Article in journal (Refereed)
  • 3. Bangerth, Wolfgang
    et al.
    Burstedde, Carsten
    Heister, Timo
    Kronbichler, Martin
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Algorithms and data structures for massively parallel generic adaptive finite element codes2011In: ACM Transactions on Mathematical Software, ISSN 0098-3500, E-ISSN 1557-7295, Vol. 38, no 2, p. 14:1-28Article in journal (Refereed)
  • 4. Ge, Zhouyang
    et al.
    Holmgren, Hanna
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Kronbichler, Martin
    Brandt, Luca
    Kreiss, Gunilla
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Effective slip over partially filled microcavities and its possible failure2017Report (Other academic)
  • 5. Ge, Zhouyang
    et al.
    Holmgren, Hanna
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Kronbichler, Martin
    Brandt, Luca
    Kreiss, Gunilla
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Effective slip over partially filled microcavities and its possible failure2018In: Physical Review Fluids, E-ISSN 2469-990X, Vol. 3, p. 054201:1-17, article id 054201Article in journal (Refereed)
  • 6. Gravemeier, Volker
    et al.
    Gee, Michael W.
    Kronbichler, Martin
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Wall, Wolfgang A.
    An algebraic variational multiscale–multigrid method for large eddy simulation of turbulent flow2010In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 199, p. 853-864Article in journal (Refereed)
  • 7. Gravemeier, Volker
    et al.
    Kronbichler, Martin
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Gee, Michael W.
    Wall, Wolfgang A.
    An algebraic variational multiscale–multigrid method for large-eddy simulation: Generalized-α time integration, Fourier analysis and application to turbulent flow past a square-section cylinder2011In: Computational Mechanics, ISSN 0178-7675, E-ISSN 1432-0924, Vol. 47, p. 217-233Article in journal (Refereed)
  • 8. Gravemeier, Volker
    et al.
    Kronbichler, Martin
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Wall, Wolfgang A.
    Variational multiscale methods for large eddy simulation of turbulent flows: Fourier analysis and application to diffuser flow2007In: Proc. 5th International Symposium on Turbulence and Shear Flow Phenomena, Garching, Germany: TU München , 2007, p. 461-466Conference paper (Refereed)
  • 9. Heister, Timo
    et al.
    Kronbichler, Martin
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Bangerth, Wolfgang
    Generic finite element programming for massively parallel flow simulations2010In: Proc. ECCOMAS CFD Conference 2010, Portugal: Tech. Univ. Lisbon , 2010, p. 10-Conference paper (Refereed)
  • 10. Heister, Timo
    et al.
    Kronbichler, Martin
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Bangerth, Wolfgang
    Massively parallel finite element programming2010In: Recent Advances in the Message Passing Interface, Berlin: Springer-Verlag , 2010, p. 122-131Conference paper (Refereed)
  • 11.
    Kormann, Katharina
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computational Science.
    Kronbichler, Martin
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Parallel finite element operator application: Graph partitioning and coloring2011In: Proc. 7th International Conference on e-Science, Los Alamitos, CA: IEEE Computer Society, 2011, p. 332-339Conference paper (Refereed)
  • 12.
    Kormann, Katharina
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computational Science.
    Kronbichler, Martin
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Müller, Bernhard
    Derivation of strictly stable high order difference approximations for variable-coefficient PDE2012In: Journal of Scientific Computing, ISSN 0885-7474, E-ISSN 1573-7691, Vol. 50, p. 167-197Article in journal (Refereed)
  • 13.
    Kronbichler, Martin
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Computational Techniques for Coupled Flow-Transport Problems2011Doctoral thesis, comprehensive summary (Other academic)
    Abstract [en]

    This thesis presents numerical techniques for solving problems of incompressible flow coupled to scalar transport equations using finite element discretizations in space. The two applications considered in this thesis are multi-phase flow, modeled by level set or phase field methods, and planetary mantle convection based on the Boussinesq approximation.

    A systematic numerical study of approximation errors in evaluating the surface tension in finite element models for two-phase flow is presented. Forces constructed from a gradient in the same discrete function space as used for the pressure are shown to give the best performance. Moreover, two approaches for introducing contact line dynamics into level set methods are proposed. Firstly, a multiscale approach extracts a slip velocity from a micro simulation based on the phase field method and imposes it as a boundary condition in the macro model. This multiscale method is shown to provide an efficient model for the simulation of contact-line driven flow. The second approach combines a level set method based on a smoothed color function with a the phase field method in different parts of the domain. Away from contact lines, the additional information in phase field models is not necessary and it is disabled from the equations by a switch function. An in-depth convergence study is performed in order to quantify the benefits from this combination. Also, the resulting hybrid method is shown to satisfy an a priori energy estimate.

    For the simulation of mantle convection, an implementation framework based on modern finite element and solver packages is presented. The framework is capable of running on today's large computing clusters with thousands of processors. All parts in the solution chain, from mesh adaptation over assembly to the solution of linear systems, are done in a fully distributed way. These tools are used for a parallel solver that combines higher order time and space discretizations. For treating the convection-dominated temperature equation, an advanced stabilization technique based on an artificial viscosity is used.

    For more efficient evaluation of finite element operators in iterative methods, a matrix-free implementation built on cell-based quadrature is proposed. We obtain remarkable speedups over sparse matrix-vector products for many finite elements which are of practical interest. Our approach is particularly efficient for systems of differential equations.

    List of papers
    1. Spurious currents in finite element based level set methods for two-phase flow
    Open this publication in new window or tab >>Spurious currents in finite element based level set methods for two-phase flow
    2012 (English)In: International Journal for Numerical Methods in Fluids, ISSN 0271-2091, E-ISSN 1097-0363, Vol. 69, p. 1433-1456Article in journal (Refereed) Published
    National Category
    Computational Mathematics Computer Sciences
    Identifiers
    urn:nbn:se:uu:diva-156454 (URN)10.1002/fld.2643 (DOI)000305450000001 ()
    Projects
    eSSENCE
    Available from: 2011-07-19 Created: 2011-07-22 Last updated: 2018-01-12Bibliographically approved
    2. Multiscale modeling of capillary-driven contact line dynamics
    Open this publication in new window or tab >>Multiscale modeling of capillary-driven contact line dynamics
    2011 (English)Report (Other academic)
    Series
    Technical report / Department of Information Technology, Uppsala University, ISSN 1404-3203 ; 2011-024
    National Category
    Computational Mathematics Computer Sciences
    Identifiers
    urn:nbn:se:uu:diva-162211 (URN)
    Available from: 2011-11-27 Created: 2011-11-27 Last updated: 2018-01-12Bibliographically approved
    3. A hybrid level-set-phase-field method for two-phase flow with contact lines
    Open this publication in new window or tab >>A hybrid level-set-phase-field method for two-phase flow with contact lines
    2011 (English)Report (Other academic)
    Series
    Technical report / Department of Information Technology, Uppsala University, ISSN 1404-3203 ; 2011-026
    National Category
    Computational Mathematics Computer Sciences
    Identifiers
    urn:nbn:se:uu:diva-162212 (URN)
    Available from: 2011-11-27 Created: 2011-11-27 Last updated: 2018-01-12Bibliographically approved
    4. High accuracy mantle convection simulation through modern numerical methods
    Open this publication in new window or tab >>High accuracy mantle convection simulation through modern numerical methods
    2012 (English)In: Geophysical Journal International, ISSN 0956-540X, E-ISSN 1365-246X, Vol. 191, p. 12-29Article in journal (Refereed) Published
    National Category
    Computational Mathematics Computer Sciences
    Identifiers
    urn:nbn:se:uu:diva-162213 (URN)10.1111/j.1365-246X.2012.05609.x (DOI)000308636800002 ()
    Available from: 2012-08-21 Created: 2011-11-27 Last updated: 2018-01-12Bibliographically approved
    5. Algorithms and data structures for massively parallel generic adaptive finite element codes
    Open this publication in new window or tab >>Algorithms and data structures for massively parallel generic adaptive finite element codes
    2011 (English)In: ACM Transactions on Mathematical Software, ISSN 0098-3500, E-ISSN 1557-7295, Vol. 38, no 2, p. 14:1-28Article in journal (Refereed) Published
    National Category
    Software Engineering Computational Mathematics
    Identifiers
    urn:nbn:se:uu:diva-161398 (URN)10.1145/2049673.2049678 (DOI)000298638200005 ()
    Available from: 2011-11-11 Created: 2011-11-11 Last updated: 2018-01-12Bibliographically approved
    6. A generic interface for parallel cell-based finite element operator application
    Open this publication in new window or tab >>A generic interface for parallel cell-based finite element operator application
    2011 (English)Report (Other academic)
    Series
    Technical report / Department of Information Technology, Uppsala University, ISSN 1404-3203 ; 2011-025
    National Category
    Computational Mathematics Software Engineering
    Identifiers
    urn:nbn:se:uu:diva-162214 (URN)
    Projects
    eSSENCE
    Available from: 2011-11-27 Created: 2011-11-27 Last updated: 2018-01-12Bibliographically approved
  • 14.
    Kronbichler, Martin
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Numerical methods for the Navier–Stokes equations applied to turbulent flow and to multi-phase flow2009Licentiate thesis, comprehensive summary (Other academic)
    Abstract [en]

    This thesis discusses the numerical approximation of flow problems, in particular the large eddy simulation of turbulent flow and the simulation of laminar immiscible two-phase flow. The computations for both applications are performed with a coupled solution approach of the Navier-Stokes equations discretized with the finite element method.

    Firstly, a new implementation strategy for large eddy simulation of turbulent flow is discussed. The approach is based on the variational multiscale method, where scale ranges are separated by variational projection. The method uses a standard Navier-Stokes model for representing the coarser of the resolved scales, and adds a subgrid viscosity model to the smaller of the resolved scales. The scale separation within the space of resolved scales is implemented in a purely algebraic way based on a plain aggregation algebraic multigrid restriction operator. A Fourier analysis underlines the importance of projective scale separations and that the proposed model does not affect consistency of the numerical scheme. Numerical examples show that the method provides better results than other state-of-the-art methods for computations at low resolutions.

    Secondly, a method for modeling laminar two-phase flow problems in the vicinity of contact lines is proposed. This formulation combines the advantages of a level set model and of a phase field model: Motion of contact lines and imposition of contact angles are handled like for a phase field method, but the computational costs are similar to the ones of a level set implementation. The model is realized by formulating the Cahn-Hilliard equation as an extension of a level set model. The phase-field specific terms are only active in the vicinity of contact lines. Moreover, various aspects of a conservative level set method discretized with finite elements regarding the accuracy of force balance and prediction in jump of pressure between the inside and outside of a circular bubble are tested systematically. It is observed that the errors in velocity are mostly due to inaccuracies in curvature evaluation, whereas the errors in pressure prediction mainly come from the finite width of the interface. The error in both velocity and pressure decreases with increasing number of mesh points.

    List of papers
    1. An algebraic variational multiscale–multigrid method for large eddy simulation of turbulent flow
    Open this publication in new window or tab >>An algebraic variational multiscale–multigrid method for large eddy simulation of turbulent flow
    2010 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 199, p. 853-864Article in journal (Refereed) Published
    National Category
    Computational Mathematics Computer Sciences
    Identifiers
    urn:nbn:se:uu:diva-106684 (URN)10.1016/j.cma.2009.05.017 (DOI)000274827400009 ()
    Available from: 2009-06-26 Created: 2009-06-26 Last updated: 2018-01-13Bibliographically approved
    2. An algebraic variational multiscale–multigrid method for large-eddy simulation: Generalized-α time integration, Fourier analysis and application to turbulent flow past a square-section cylinder
    Open this publication in new window or tab >>An algebraic variational multiscale–multigrid method for large-eddy simulation: Generalized-α time integration, Fourier analysis and application to turbulent flow past a square-section cylinder
    2011 (English)In: Computational Mechanics, ISSN 0178-7675, E-ISSN 1432-0924, Vol. 47, p. 217-233Article in journal (Refereed) Published
    National Category
    Computational Mathematics Computer Sciences
    Identifiers
    urn:nbn:se:uu:diva-110245 (URN)10.1007/s00466-010-0541-x (DOI)000286614600007 ()
    Available from: 2009-11-05 Created: 2009-11-05 Last updated: 2018-01-12Bibliographically approved
    3. A hybrid level-set Cahn–Hilliard model for two-phase flow
    Open this publication in new window or tab >>A hybrid level-set Cahn–Hilliard model for two-phase flow
    2008 (English)In: Proc. 1st European Conference on Microfluidics, La Société Hydrotechnique de France , 2008, p. 59:1-10Conference paper, Published paper (Refereed)
    Place, publisher, year, edition, pages
    La Société Hydrotechnique de France, 2008
    National Category
    Computational Mathematics Computer Sciences
    Identifiers
    urn:nbn:se:uu:diva-104899 (URN)
    Available from: 2009-05-20 Created: 2009-05-30 Last updated: 2018-01-13Bibliographically approved
    4. Spurious currents in a finite-element based level set method for two phase flow
    Open this publication in new window or tab >>Spurious currents in a finite-element based level set method for two phase flow
    2009 (English)Report (Other academic)
    Series
    Technical report / Department of Information Technology, Uppsala University, ISSN 1404-3203 ; 2009-026
    National Category
    Computational Mathematics Computer Sciences
    Identifiers
    urn:nbn:se:uu:diva-110112 (URN)
    Available from: 2009-11-04 Created: 2009-11-04 Last updated: 2018-01-12Bibliographically approved
  • 15. Kronbichler, Martin
    et al.
    Diagne, Ababacar
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Holmgren, Hanna
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    A fast massively parallel two-phase flow solver for microfluidic chip simulation2018In: The international journal of high performance computing applications, ISSN 1094-3420, E-ISSN 1741-2846, Vol. 32, p. 266-287Article in journal (Refereed)
  • 16.
    Kronbichler, Martin
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Heister, Timo
    Bangerth, Wolfgang
    High accuracy mantle convection simulation through modern numerical methods2012In: Geophysical Journal International, ISSN 0956-540X, E-ISSN 1365-246X, Vol. 191, p. 12-29Article in journal (Refereed)
  • 17.
    Kronbichler, Martin
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Kormann, Katharina
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computational Science.
    A generic interface for parallel cell-based finite element operator application2011Report (Other academic)
  • 18.
    Kronbichler, Martin
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Kormann, Katharina
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computational Science.
    A generic interface for parallel cell-based finite element operator application2012In: Computers & Fluids, ISSN 0045-7930, E-ISSN 1879-0747, Vol. 63, p. 135-147Article in journal (Refereed)
  • 19.
    Kronbichler, Martin
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Kreiss, Gunilla
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    A hybrid level-set Cahn–Hilliard model for two-phase flow2008In: Proc. 1st European Conference on Microfluidics, La Société Hydrotechnique de France , 2008, p. 59:1-10Conference paper (Refereed)
  • 20.
    Kronbichler, Martin
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Kreiss, Gunilla
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    A hybrid level-set-phase-field method for two-phase flow with contact lines2011Report (Other academic)
  • 21. Kronbichler, Martin
    et al.
    Kreiss, Gunilla
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    A phase-field microscale enhancement for macro models of capillary-driven contact point dynamics2017In: Journal of Computational Multiphase Flows, ISSN 1757-482X, E-ISSN 1757-4838, Vol. 9, p. 114-126Article in journal (Refereed)
  • 22. Kronbichler, Martin
    et al.
    Ljungkvist, Karl
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computational Science.
    Multigrid for matrix-free high-order finite element computations on graphics processors2019In: ACM Transactions on Parallel Computing, ISSN 2329-4949, Vol. 6, no 1, p. 2:1-32, article id 2Article in journal (Refereed)
  • 23.
    Kronbichler, Martin
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Walker, Claudio
    Kreiss, Gunilla
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Müller, Bernhard
    Multiscale modeling of capillary-driven contact line dynamics2011Report (Other academic)
  • 24.
    Ljungkvist, Karl
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computational Science.
    Kronbichler, Martin
    Multigrid for matrix-free finite element computations on graphics processors2017Report (Other academic)
  • 25. Schoeder, Svenja
    et al.
    Sticko, Simon
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Kronbichler, Martin
    Kreiss, Gunilla
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    High order cut discontinuous Galerkin methods with local time stepping for acoustics2018In: Article in journal (Other academic)
  • 26. Zahedi, Sara
    et al.
    Kronbichler, Martin
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Kreiss, Gunilla
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Spurious currents in a finite-element based level set method for two phase flow2009Report (Other academic)
  • 27. Zahedi, Sara
    et al.
    Kronbichler, Martin
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Kreiss, Gunilla
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Spurious currents in finite element based level set methods for two-phase flow2012In: International Journal for Numerical Methods in Fluids, ISSN 0271-2091, E-ISSN 1097-0363, Vol. 69, p. 1433-1456Article in journal (Refereed)
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