A priori and a posteriori error analysis of the Crouzeix-Raviart and Morley FEM with original and modified right-hand sides

DOI10.1515/cmam-2021-0029zbMath1476.65294arXiv2102.08117OpenAlexW3138346380MaRDI QIDQ2052448

Neela Nataraj, Carsten Carstensen

Publication date: 26 November 2021

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.08117

zbMATH Keywords

biharmonic problemMorleyCrouzeix-Raviarta priori and a posteriori analysisbest-approximationmedius error analysisnonconforming schemes

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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Lowest-order equivalent nonstandard finite element methods for biharmonic plates ⋮ A posteriori error analysis for a distributed optimal control problem governed by the von Kármán equations ⋮ Direct Guaranteed Lower Eigenvalue Bounds with Optimal a Priori Convergence Rates for the Bi-Laplacian ⋮ Convergent adaptive hybrid higher-order schemes for convex minimization ⋮ Nonconforming Virtual Elements for the Biharmonic Equation with Morley Degrees of Freedom on Polygonal Meshes ⋮ Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems ⋮ Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation ⋮ Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a Poisson inverse source problem

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