DPG method with optimal test functions for a transmission problem

DOI10.1016/j.camwa.2015.06.032zbMath1443.65333arXiv1412.4753OpenAlexW1569125100MaRDI QIDQ2006251

Norbert Heuer, Michael Karkulik

Publication date: 8 October 2020

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

Full work available at URL: https://arxiv.org/abs/1412.4753

zbMATH Keywords

finite elementsboundary elementscouplingtransmission problemDPG method with optimal test functionsultra-weak formulation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (8)

Local analysis of HDG methods for convection-dominated diffusion problems ⋮ A first order system least squares method for the Helmholtz equation ⋮ Coupled variational formulations of linear elasticity and the DPG methodology ⋮ On the coupling of DPG and BEM ⋮ Ground-state solutions to a Kirchhoff-type transmission problem ⋮ Ground-state solutions to Kirchhoff-type transmission problems with critical perturbation ⋮ Using a DPG method to validate DMA experimental calibration of viscoelastic materials ⋮ High-order polygonal discontinuous Petrov-Galerkin (PolyDPG) methods using ultraweak formulations

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