Note on discontinuous trace approximation in the practical DPG method

DOI10.1016/j.camwa.2014.07.006zbMath1364.65250arXiv1402.5169OpenAlexW2045162250MaRDI QIDQ2628401

Francisco-Javier Sayas, Norbert Heuer, Michael Karkulik

Publication date: 2 June 2017

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

Full work available at URL: https://arxiv.org/abs/1402.5169

zbMATH Keywords

discontinuous Galerkin methodPetrov-Galerkinultra-weak formulationDPG methodnon-conforming approximation

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)

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Cites Work

• A class of discontinuous Petrov-Galerkin methods. III: Adaptivity
• Mathematical aspects of discontinuous Galerkin methods.
• Robust DPG Method for Convection-Dominated Diffusion Problems
• An analysis of the practical DPG method
• A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions
• Analysis of the DPG Method for the Poisson Equation