Automatically stable discontinuous Petrov-Galerkin methods for stationary transport problems: quasi-optimal test space norm

DOI10.1016/j.camwa.2013.07.016zbMath1350.65129arXiv1201.1847OpenAlexW2075865464MaRDI QIDQ316350

Antti H. Niemi, Nathaniel O. Collier, Victor Manuel Calo

Publication date: 27 September 2016

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

Full work available at URL: https://arxiv.org/abs/1201.1847

zbMATH Keywords

convergencerobustnessfinite element methodnumerical stabilityautomatic stabilization techniqueconvection-dominated diffusiondiscontinuous Petrov-Galerkin

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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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