Numerical investigation of the conditioning for plane wave discontinuous Galerkin methods

DOI10.1007/978-3-319-96415-7_44zbMath1427.65355arXiv1712.05174OpenAlexW2963832166MaRDI QIDQ2008714

Scott Congreve, Joscha Gedicke, Ilaria Perugia

Publication date: 26 November 2019

Full work available at URL: https://arxiv.org/abs/1712.05174

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Orthogonalization in numerical linear algebra (65F25) Preconditioners for iterative methods (65F08)

Related Items (4)

Adaptive refinement for \(hp\)-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem ⋮ Ultra-weak variational formulation for heterogeneous Maxwell problem in the context of high performance computing ⋮ Stable approximation of Helmholtz solutions in the disk by evanescent plane waves ⋮ A discontinuous Galerkin Trefftz type method for solving the two dimensional Maxwell equations

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