Parallel generalized finite element method for magnetic multiparticle problems

Authors:
Achim Basermann;Igor Tsukerman
Affiliations:
C&C Research Laboratories, NEC Europe Ltd., Sankt Augustin, Germany;Department of Electrical & Computer Engineering, The University of Akron, OH
Venue:
VECPAR'04 Proceedings of the 6th international conference on High Performance Computing for Computational Science
Year:
2004

Citing 8
Cited 0

BI-CGSTAB: a fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems

SIAM Journal on Scientific and Statistical Computing
Special finite element methods for a class of second order elliptic problems with rough coefficients

SIAM Journal on Numerical Analysis
A fast adaptive multipole algorithm in three dimensions

Journal of Computational Physics
Distributed Schur Complement Techniques for General Sparse Linear Systems

SIAM Journal on Scientific Computing
A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs

SIAM Journal on Scientific Computing
A Particle-Partition of Unity Method--Part III: A Multilevel Solver

SIAM Journal on Scientific Computing
A Particle-Partition of Unity Method--Part II: Efficient Cover Construction and Reliable Integration

SIAM Journal on Scientific Computing
Iterative Methods for Sparse Linear Systems

Iterative Methods for Sparse Linear Systems

Quantified Score

Hi-index	0.00

Visualization

Abstract

A parallel version of the Generalized Finite Element Method is applied to multiparticle problems. The main advantage of the method is that only a regular hexahedral grid is needed; the particles do not have to be meshed and are represented by special basis functions approximating the field behavior near the particles. A general-purpose parallel Schur complement solver with incomplete LU preconditioning (A. Basermann) showed excellent performance for the varying problem size, number of processors and number of particles. In fact, the scaling of the computational time with respect to the number of processors was slightly superlinear due to cache effects. Future research plans include parallel implementation of the new Flexible Local Approximation MEthod (FLAME) that incorporates desirable local approximating functions (e.g. dipole harmonics near particles) into the difference scheme.