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Brandén, Henrik
Publications (10 of 14) Show all publications
Brandén, H., Holmgren, S. & Sundqvist, P. (2007). Discrete fundamental solution preconditioning for hyperbolic systems of PDE. Journal of Scientific Computing, 30, 35-60
Open this publication in new window or tab >>Discrete fundamental solution preconditioning for hyperbolic systems of PDE
2007 (English)In: Journal of Scientific Computing, ISSN 0885-7474, E-ISSN 1573-7691, Vol. 30, p. 35-60Article in journal (Refereed) Published
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:uu:diva-84009 (URN)10.1007/s10915-005-9018-z (DOI)000243906800002 ()
Available from: 2007-01-31 Created: 2007-01-31 Last updated: 2018-01-13Bibliographically approved
Jonsson, J. C. & Brandén, H. (2007). Obtaining the bidirectional transmittance distribution function of isotropically scattering materials using an integrating sphere. Optics Communications, 277, 228-236
Open this publication in new window or tab >>Obtaining the bidirectional transmittance distribution function of isotropically scattering materials using an integrating sphere
2007 (English)In: Optics Communications, ISSN 0030-4018, E-ISSN 1873-0310, Vol. 277, p. 228-236Article in journal (Refereed) Published
National Category
Computational Mathematics
Identifiers
urn:nbn:se:uu:diva-26956 (URN)10.1016/j.optcom.2007.05.017 (DOI)000251791100002 ()
Available from: 2007-08-10 Created: 2007-08-10 Last updated: 2017-12-07Bibliographically approved
Brandén, H. & Sundqvist, P. (2005). Preconditioners Based on Fundamental Solutions.
Open this publication in new window or tab >>Preconditioners Based on Fundamental Solutions
2005 (English)Report (Other academic)
Series
Technical report / Department of Information Technology, Uppsala University, ISSN 1404-3203 ; 2005-001
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:uu:diva-68487 (URN)
Available from: 2007-02-01 Created: 2007-02-01 Last updated: 2018-01-10Bibliographically approved
Brandén, H. & Sundqvist, P. (2005). Preconditioners based on fundamental solutions. BIT Numerical Mathematics, 45, 481-494
Open this publication in new window or tab >>Preconditioners based on fundamental solutions
2005 (English)In: BIT Numerical Mathematics, ISSN 0006-3835, E-ISSN 1572-9125, Vol. 45, p. 481-494Article in journal (Refereed) Published
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:uu:diva-78887 (URN)10.1007/s10543-005-0010-7 (DOI)
Available from: 2007-03-11 Created: 2007-03-11 Last updated: 2018-01-13Bibliographically approved
Brandén, H. & Sundqvist, P. (2004). An algorithm for computing fundamental solutions of difference operators. Numerical Algorithms, 36, 331-343
Open this publication in new window or tab >>An algorithm for computing fundamental solutions of difference operators
2004 (English)In: Numerical Algorithms, ISSN 1017-1398, E-ISSN 1572-9265, Vol. 36, p. 331-343Article in journal (Refereed) Published
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:uu:diva-67772 (URN)10.1007/s11075-004-2879-7 (DOI)
Available from: 2006-05-20 Created: 2006-05-20 Last updated: 2018-01-10Bibliographically approved
Brandén, H. & Sundqvist, P. (2003). An Algorithm for Computing Fundamental Solutions of Difference Operators.
Open this publication in new window or tab >>An Algorithm for Computing Fundamental Solutions of Difference Operators
2003 (English)Report (Other academic)
Series
Technical report / Department of Information Technology, Uppsala University, ISSN 1404-3203 ; 2003-006
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:uu:diva-49010 (URN)
Available from: 2007-02-01 Created: 2007-02-01 Last updated: 2018-01-11Bibliographically approved
Brandén, H. & Holmgren, S. (2003). Convergence acceleration for the steady-state Euler equations. Computers & Fluids, 32, 1075-1092
Open this publication in new window or tab >>Convergence acceleration for the steady-state Euler equations
2003 (English)In: Computers & Fluids, ISSN 0045-7930, E-ISSN 1879-0747, Vol. 32, p. 1075-1092Article in journal (Refereed) Published
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:uu:diva-47163 (URN)10.1016/S0045-7930(02)00088-9 (DOI)
Available from: 2006-05-20 Created: 2006-05-20 Last updated: 2018-01-11Bibliographically approved
Brandén, H., Holmgren, S. & Sundqvist, P. (2003). Discrete Fundamental Solution Preconditioning for Hyperbolic Systems of PDE.
Open this publication in new window or tab >>Discrete Fundamental Solution Preconditioning for Hyperbolic Systems of PDE
2003 (English)Report (Other academic)
Series
Technical report / Department of Information Technology, Uppsala University, ISSN 1404-3203 ; 2003-007
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:uu:diva-68482 (URN)
Available from: 2007-02-02 Created: 2007-02-02 Last updated: 2018-01-10Bibliographically approved
Brandén, H. (2001). Convergence Acceleration for Flow Problems. (Doctoral dissertation). Uppsala: Acta Universitatis Upsaliensis
Open this publication in new window or tab >>Convergence Acceleration for Flow Problems
2001 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Convergence acceleration techniques for the iterative solution of system of equations arising in the discretisations of compressible flow problems governed by the steady state Euler or Navier-Stokes equations is considered. The system of PDE is discretised using a finite difference or finite volume method yielding a large sparse system of equations. A solution is computed by integrating the corresponding time dependent problem in time until steady state is reached.

A convergence acceleration technique based on semicirculant approximations is applied. For scalar model problems, it is proved that the preconditioned coefficient matrix has a bounded spectrum well separated from the origin. A very simple time marching scheme such as the forward Euler method can be used, and the time step is not limited by a CFL-type criterion. Instead, the time step can asymptotically be chosen as a constant, independent of the number of grid points and the Reynolds number. Numerical experiments show that grid and parameter independent convergence is achieved also in more complicated problem settings. A comparison with a multigrid method shows that the semicirculant convergence acceleration technique is more efficient in terms of arithmetic complexity.

Another convergence acceleration technique based on fundamental solutions is proposed. An algorithm based on Fourier technique is provided for the fast application. Scalar model problems are considered and a theory, where the preconditioner is represented as an integral operator is derived. Theory and numerical experiments show that for first order partial differential equations, grid independent convergence is achieved.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2001. p. 22
Series
Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1104-232X ; 598
Keywords
Computational fluid dynamics, convergence acceleration, semicirculant preconditioning, fundamental solutions
National Category
Computational Mathematics
Research subject
Numerical Analysis
Identifiers
urn:nbn:se:uu:diva-576 (URN)91-554-4914-X (ISBN)
Public defence
2001-02-09, Room 2347, Polacksbacken, Uppsala University, Uppsala, 13:15 (English)
Supervisors
Available from: 2001-01-19 Created: 2001-01-19 Last updated: 2011-10-26Bibliographically approved
Holmgren, S., Brandén, H. & Sterner, E. (2000). Convergence acceleration for the linearized Navier-Stokes equations using semicirculant approximations. SIAM Journal on Scientific Computing, 21, 1524-1550
Open this publication in new window or tab >>Convergence acceleration for the linearized Navier-Stokes equations using semicirculant approximations
2000 (English)In: SIAM Journal on Scientific Computing, ISSN 1064-8275, E-ISSN 1095-7197, Vol. 21, p. 1524-1550Article in journal (Refereed) Published
National Category
Computational Mathematics Computer Sciences
Identifiers
urn:nbn:se:uu:diva-36510 (URN)10.1137/S1064827597317983 (DOI)
Available from: 2006-05-20 Created: 2006-05-20 Last updated: 2018-01-11Bibliographically approved
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