A pollution-free ultra-weak FOSLS discretization of the Helmholtz equation

DOI10.1016/j.camwa.2023.08.013arXiv2303.16508OpenAlexW4386364260MaRDI QIDQ6048979

Harald Monsuur, Rob P. Stevenson

Publication date: 13 October 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.16508

zbMATH Keywords

Helmholtz equationoptimal test-normpollution-free approximationultra-weak FOSLS

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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (2)

Minimal residual methods in negative or fractional Sobolev norms ⋮ Isogeometric analysis and augmented Lagrangian Galerkin least squares methods for residual minimization in dual norm

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