A first order system least squares method for the Helmholtz equation

DOI10.1016/j.cam.2016.06.019zbMath1347.65174arXiv1409.3362OpenAlexW2200592550MaRDI QIDQ313591

Weifeng Qiu, Huangxin Chen

Publication date: 12 September 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3362

zbMATH Keywords

stabilityerror estimateHelmholtz equationhigh wave numberfirst order system least squares methodpollution error

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items

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, A simple proof of coerciveness of first-order system least-squares methods for general second-order elliptic PDEs, A discontinuous least squares finite element method for the Helmholtz equation, BARYCENTRIC RATIONAL INTERPOLATION METHOD OF THE HELMHOLTZ EQUATION WITH IRREGULAR DOMAIN, Staggered discontinuous Galerkin methods for the Helmholtz equation with large wave number, Adaptive First-Order System Least-Squares Finite Element Methods for Second-Order Elliptic Equations in Nondivergence Form, Uncertainty Propagation Analysis of T/R Modules

Uses Software

• Camellia

Cites Work

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