Robust coupling of DPG and BEM for a singularly perturbed transmission problem

DOI10.1016/j.camwa.2016.09.016zbMath1405.65148arXiv1603.05164OpenAlexW2963329822MaRDI QIDQ1668558

Thomas Führer, Norbert Heuer

Publication date: 29 August 2018

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

Full work available at URL: https://arxiv.org/abs/1603.05164

zbMATH Keywords

boundary elementscouplingtransmission problemDPG method with optimal test functionsultra-weak formulationreaction dominated diffusion

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) 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) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (10)

DPG methods for a fourth-order div problem ⋮ Combining the DPG method with finite elements ⋮ Coupled variational formulations of linear elasticity and the DPG methodology ⋮ On the coupling of DPG and BEM ⋮ An ultraweak formulation of the Kirchhoff–Love plate bending model and DPG approximation ⋮ A time-stepping DPG scheme for the heat equation ⋮ Using a DPG method to validate DMA experimental calibration of viscoelastic materials ⋮ Discrete least-squares finite element methods ⋮ High-order polygonal discontinuous Petrov-Galerkin (PolyDPG) methods using ultraweak formulations ⋮ Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov--Galerkin Methods

Uses Software

• HILBERT

Cites Work

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