MULTI-FRONTAL SOLVER FOR SIMULATIONS OF LINEAR ELASTICITY COUPLED WITH ACOUSTICS

Maciej Paszyński; Tomasz Jurczyk; David Pardo

doi:10.7494/csci.2011.12.0.85

Authors

Maciej Paszyński AGH University of Science and Technology
Tomasz Jurczyk AGH University of Science and Technology
David Pardo University of the Basque Country (UPV/EHU), IKERBASQUE (Basque Foundation of Sciences)

DOI:

https://doi.org/10.7494/csci.2011.12.0.85

Keywords:

parallel simulations, multi-frontal solvers, finite element method, linear elasticity coupled with accoustics, 3D mesh generation

Abstract

This paper describes the concurrent multi-frontal direct solver algorithm for a multi-physicsFinite Element Method (FEM). The multi-physics FEM utilizes different element sizes aswell as polynomial orders of approximation over element edges, faces, and interiors (elementnodes). The solver is based on the concept of a node, and management of unknowns isrealized at the level of nodes. The solver is tested on a challenging multi-physis problem:acoustics coupled with linear elasticity over a 3D ball shape domain.

Downloads

Download data is not yet available.

Author Biographies

Maciej Paszyński, AGH University of Science and Technology

Faculty of Electrical Engineering, Automatics, ITand Electronics, Department of Computer Science
Tomasz Jurczyk, AGH University of Science and Technology

Faculty of Electrical Engineering, Automatics, ITand Electronics, Department of Computer Science
David Pardo, University of the Basque Country (UPV/EHU), IKERBASQUE (Basque Foundation of Sciences)

Department of Applied Mathematics, Statistics, and Operational Research

References

Amestoy P. R., Duff I. S., L’Excelent J.-Y.: Multifrontal parallel distributed symmetric and unsymmetric solvers. Computer Methods in Applied Mechanics and Engineering, vol. 184, 2000, pp. 501–520.

Amestoy P. R., Duff I. S., Koster J., L’Excelent J.-Y.: A fully asynchronous multifrontal solver using distributed dynamic scheduling. SIAM Journal of Matrix Analysis and Applications, vol. 23, 2001, pp. 15–41.

Amestoy P. R., Guermouche A., L’Excelent J.-Y., Pralet S.: Hybrid scheduling for the parallel solution of linear systems. Parallel Computing, vol. 32(2), 2006, pp. 136–156.

Demkowicz L., Gatto P., Kurtz J., Paszynski M., Rachowicz W., Bleszynski E., Bleszynski M., Hamilton M., Champlin C., Pardo D.: Modeling of bone conduction of sound in human head using hp finite elements. Part I. Code design and modificaton. Computer Methods in Applied Mechanics and Engineering, vol. 200, 2011, pp. 1757–1773.

Demkowicz L., Kurtz J., Pardo D., Paszynski M., Rachowicz W., Zdunek A.: Computing with hp-Adaptive Finite Element Method. Vol. II. Frontiers: Three Dimensional Elliptic and Maxwell Problems. Chapmann & Hall / CRC Applied Mathematics & Nonlinear Science, 2007.

Glut B., Jurczyk T., Kitowski T.: Anisotropic Volume Mesh Generation Controlled by Adaptive Metric Space. AIP Conf. Proc. Volume 908 NUMIFORM 2007, Materials Processing and Design: Modeling, Simulation and Applications, June 17–21, Porto, Portugal, 2007, pp. 233–238.

Karypis G., Kumar V.: A fast and high quality multilevel scheme for partitioning irregular graphs. SIAM Journal on Scientific Computing, vol. 20, issue 1, 1999, pp. 359–392.

Michler Ch., Demkowicz L., Kurtz J., Pardo J.: Improving the performance of perfectly matched layers ny means of hp-adaptivity. ICES-Report 06-17, The University of Texas at Austin, 2006.

http://www.enseeiht.fr/lima/apo/MUMPS

Paszynski M., Pardo D., Torres-Verdin C., Demkowicz L., Calo V.: A Parallel Direct Solver for Self-Adaptive hp Finite Element Method. Journal of Parall and Distributed Computing, vol. 70, 2010, pp. 270–281.

Schroeder W., Martin K., Lorensen B.: The Visualization Toolkit An Object-Oriented Approach To 3D Graphics. 3rd Edition. Kitware, Inc. www.kitware.com