Parallel multi-frontal solver for p adaptive finite element modeling of multi-physics computational problems

Journal of Computational Science

Volumn 1, Issue 1, 2010, Pages 48-54

  Paszyński, Maciej ^a   Pardo, David ^b   Paszyńska, Anna ^c  

^a AGH UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Poland)

^b BCAM BASQUE CENTER FOR APPLIED MATHEMATICS   (Spain)

^c JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

Finite element method; Hypermatrix; Multi physics problems; p adaptivity; Parallel multi frontal solver

Indexed keywords

ADAPTIVE FINITE ELEMENT; ADAPTIVE FINITE ELEMENT METHODS; ADAPTIVITY; COMPUTATIONAL MESH; COMPUTATIONAL PROBLEM; ELIMINATION TREE; EXECUTION TIME; FINITE ELEMENT; FRONTAL SOLVER; GRAPH GRAMMAR; LINEAR ELASTICITY; MEMORY USAGE; MULTI-PHYSICS; MULTIPHYSICS PROBLEMS; P ADAPTIVITY; PARALLEL DIRECT SOLVERS; TETRAHEDRAL MESH GENERATION;

ACOUSTICS; ELECTRIC ARC WELDING; EVOLUTIONARY ALGORITHMS; FORMAL LANGUAGES; MESH GENERATION; PROBLEM SOLVING; THREE DIMENSIONAL;

FINITE ELEMENT METHOD;

EID: 77952724068     PISSN: 18777503     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jocs.2010.03.002     Document Type: Article

References (16)

1. Demkowicz L., Kurtz J., Pardo D., Paszyński M., Rachowicz W., and Zdunek A. Computing with hp Adaptive Finite Elements. Volume 2. Frontiers: Three Dimensional Elliptic and Maxwell Problems with Applications (2007), Chapmann & Hall/CRC Press
2. Paszyński M., and Demkowicz L. Parallel fully automatic hp adaptive 3D finite element package. Engineering with Computers 22 3-4 (2006) 255-276
3. Paszyński M., Pardo D., Torres-Verdin C., Demkowicz L., and Calo V. A parallel direct solver for the self-adaptive hp finite element method. Journal of Parallel and Distributed Computing 70 3 (2010) 270-281
4. M. Paszyński, R. Schaefer, Graph grammar-driven parallel partial differential equation solver, Concurrency & Computations, Practise & Experience, doi:10.1002/cpe.1533.
5. D. Pardo, Integration of hp-adaptivity with a two-grid solver, Ph.D. dissertation, The University of Texas in Austin, 2004.
6. Pardo D., Demkowicz L., Torres-Verdin C., and Paszyński M. A self-adaptive goal-oriented hp finite element method with electromagnetic applications. Pt. 2. Electrodynamics. Computer Methods in Applied Mechanics and Engineering 196 (2007) 3585-3597
7. Amestoy P.R., Duff I.S., and L'Excellent J.-Y. Multifrontal parallel distributed symmetric and unsymmetric solvers. Computer Methods in Applied Mechanics and Engineering 184 (2000) 501-520
8. Amestoy P.R., Duff I.S., Koster J., and L'Excellent J.-Y. A fully asynchronous multifrontal solver using distributed dynamic scheduling. SIAM Journal of Matrix Analysis and Applications 23 (2001) 15-41
9. Amestoy P.R., Guermouche A., L'Excellent J.-Y., and Pralet J.-Y. Hybrid scheduling for the parallel solution of linear systems. Parallel Computing 32 2 (2006) 136-156
10. MUMPS: http://www.enseeiht.fr/lima/apo/MUMPS version 4.7.3.
11. Paszyński M., and Schaefer R. Reutilization of partial LU factorizations for self-adaptive hp finite element method solver. Lecture Notes in Computer Science 5101 (2008) 965-974
12. Paszyński M., and Paszyńska A. Graph transformations for modeling parallel hp-adaptive finite element method. Lecture Notes in Computer Science 4967 (2008) 1313-1322
13. ZOLTAN: http://www.cs.sandia.gov/Zoltan.
14. Michler C., Demkowicz L., Kurtz J., and Pardo D. Improving the performance of perfectly matched layers by means of hp-adaptivity. ICES-Report 06-17 (2006) 359-392
15. LONESTAR cluster users' manual http://www.tacc.utexas.edu/services/userguides/lonestar.
16. P. Obrok, P. Pierchała, A. Szymczak, M. Paszynski, Graph grammar based multi-thread multi-frontal parallel solver with trace theory-based scheduler, Procedia Computer Science, 2010.