The Adaptive Nonconforming FEM for the Pure Displacement Problem in Linear Elasticity is Optimal and Robust
From MaRDI portal
Publication:2903035
DOI10.1137/110824139zbMath1397.74183OpenAlexW2105551156MaRDI QIDQ2903035
Carsten Carstensen, Hella Rabus
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/10.1137/110824139
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) 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)
Related Items
Axioms of adaptivity, A discrete Helmholtz decomposition with morley finite element functions and the optimality of adaptive finite element schemes, Inf-sup stability implies quasi-orthogonality, A posteriori analysis for a mixed FEM discretization of the linear elasticity spectral problem, Optimal adaptive nonconforming FEM for the Stokes problem, Constants in discrete Poincaré and Friedrichs inequalities and discrete quasi-interpolation, Quasi-optimal adaptive hybridized mixed finite element methods for linear elasticity, A robust prolongation operator for non-nested finite element methods, Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems, Recurrent neural networks as optimal mesh refinement strategies, Optimality of a Standard Adaptive Finite Element Method for the Stokes Problem
