Degree and Wavenumber [In]dependence of Schwarz Preconditioner for the DPG Method

DOI10.1007/978-3-319-19800-2_22zbMath1352.65506OpenAlexW2409488925MaRDI QIDQ2831209

Joachim Schöberl, Jay Gopalakrishnan

Publication date: 2 November 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-19800-2_22

zbMATH Keywords

polygonal domaindiscontinuous Petrov-Galerkin methodpolyhedral domainDirichlet problem for Helmholtz equationacoustic waves in a homogeneous mediumsimplicial finite element mesh

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Preconditioners for iterative methods (65F08)

Related Items (8)

A first order system least squares method for the Helmholtz equation ⋮ An adaptive multigrid solver for DPG methods with applications in linear acoustics and electromagnetics ⋮ An adaptive DPG method for high frequency time-harmonic wave propagation problems ⋮ A geometric multigrid preconditioning strategy for DPG system matrices ⋮ On perfectly matched layers for discontinuous Petrov-Galerkin methods ⋮ Scalable DPG multigrid solver for Helmholtz problems: a study on convergence ⋮ A 3D DPG Maxwell approach to nonlinear Raman gain in fiber laser amplifiers ⋮ A Scalable Preconditioner for a Primal Discontinuous Petrov--Galerkin Method

Uses Software

• Netgen
• NGSolve

Cites Work

• Wavenumber explicit analysis of a DPG method for the multidimensional Helmholtz equation
• NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules
• A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions

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