P$_1$-Nonconforming Finite Elements on Triangulations into Triangles and Quadrilaterals

DOI10.1137/110823675zbMath1251.65156OpenAlexW2043410294MaRDI QIDQ2902995

Carsten Carstensen, Robert Altmann

Publication date: 23 August 2012

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110823675

zbMATH Keywords

a priori error estimatesnonconforming finite elementssecond order elliptic problemsCrouzeix-Raviart methodsPark-Sheen methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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