A numerical study of the pollution error and DPG adaptivity for long waveguide simulations

DOI10.1016/j.camwa.2020.03.024OpenAlexW3018032380MaRDI QIDQ2034890

S. Henneking, Leszek F. Demkowicz

Publication date: 23 June 2021

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

Full work available at URL: https://arxiv.org/abs/1912.05716

zbMATH Keywords

adaptivitywaveguideDPGnumerical pollution

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) Finite element methods applied to problems in fluid mechanics (76M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

Error representation of the time-marching DPG scheme ⋮ Scalable DPG multigrid solver for Helmholtz problems: a study on convergence ⋮ Combining DPG in space with DPG time-marching scheme for the transient advection-reaction equation ⋮ Hilbert complexes: analysis, applications, and discretizations. Abstracts from the workshop held June 19--25, 2022 ⋮ Editorial: Recent advances in least-squares and discontinuous Petrov-Galerkin finite element methods

Uses Software

• MUMPS
• Zoltan

Cites Work

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• Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM
• Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
• A Convergent Adaptive Algorithm for Poisson’s Equation

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