GPU-Accelerated LOBPCG Method with Inexact Null-Space Filtering for Solving Generalized Eigenvalue Problems in Computational Electromagnetics Analysis with Higher-Order FEM

DOI10.4208/cicp.OA-2016-0168zbMath1488.65592OpenAlexW2741503025MaRDI QIDQ5159007

M. Mrozowski, M. Rewieński, A. Lamecki, P. Sypek, A. Dziekonski

Publication date: 26 October 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.oa-2016-0168

zbMATH Keywords

parallel computingFEMGPULOBPCGmultilevel preconditioninginexact nullspace filtering

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) PDEs in connection with optics and electromagnetic theory (35Q60) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Electromagnetic theory (general) (78A25) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Preconditioners for iterative methods (65F08)

Uses Software

• CUDA
• Netgen
• lobpcg.m

Cites Work

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