Low-order dPG-FEM for an elliptic PDE

DOI10.1016/j.camwa.2014.09.013zbMath1364.65242OpenAlexW2145502115MaRDI QIDQ2628397

Dietmar Gallistl, Carsten Carstensen, Friederike Hellwig, Lucy Weggler

Publication date: 2 June 2017

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.09.013

zbMATH Keywords

FEMPoissonPetrov-GalerkindiscontinuousdPG

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

• A class of discontinuous Petrov-Galerkin methods. III: Adaptivity
• A class of discontinuous Petrov-Galerkin methods. I: The transport equation
• Convergence rates of the DPG method with reduced test space degree
• A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions
• Analysis of the DPG Method for the Poisson Equation
• A Posteriori Error Control for DPG Methods