Wavenumber-explicit stability and convergence analysis of \(hp\) finite element discretizations of Helmholtz problems in piecewise smooth media

DOI10.1090/mcom/3958MaRDI QIDQ6622385

T. Chaumont-Frelet, Jens Markus Melenk, Maximilian Bernkopf

Publication date: 22 October 2024

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergencefinite element methodshigh-order methodsHelmholtz problemshigh-frequency problems

Mathematics Subject Classification ID

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) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Electromagnetic theory (general) (78A25)

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