On the Poincaré-Friedrichs inequality for piecewise $H^\{1\}$ functions in anisotropic discontinuous Galerkin finite element methods
DOI10.1090/S0025-5718-2010-02296-3zbMath1208.26023OpenAlexW2009404154MaRDI QIDQ3081277
Roger C. E. Tan, Huo-Yuan Duan
Publication date: 7 March 2011
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-2010-02296-3
anisotropic meshCrouzeix-Raviart nonconforming linear elementshape-regular conditionthe maximum angle condition
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Inequalities involving derivatives and differential and integral operators (26D10)
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