Analysis of the \(hp\)-version of a first order system least squares method for the Helmholtz equation

DOI10.1007/978-3-030-14244-5_4zbMath1433.65276arXiv1808.07825OpenAlexW2888732307MaRDI QIDQ2290588

Jens Markus Melenk, Maximilian Bernkopf

Publication date: 29 January 2020

Full work available at URL: https://arxiv.org/abs/1808.07825

zbMATH Keywords

Helmholtz equationleast squares method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

Wavenumber-explicit \textit{hp}-FEM analysis for Maxwell's equations with transparent boundary conditions ⋮ Optimal convergence rates in L² for a first order system least squares finite element method ⋮ A pollution-free ultra-weak FOSLS discretization of the Helmholtz equation ⋮ Decompositions of High-Frequency Helmholtz Solutions via Functional Calculus, and Application to the Finite Element Method

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