\(H^{1}\)-interpolation on quadrilateral and hexahedral meshes with hanging nodes

DOI10.1007/s00607-007-0233-3zbMath1133.65100OpenAlexW2038821319MaRDI QIDQ2460914

Friedhelm Schieweck, Vincent Heuveline

Publication date: 19 November 2007

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-007-0233-3

zbMATH Keywords

convergencehanging nodesconstrained approximationfinite element interpolationpiecewise multilinear elements

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Approximation with constraints (41A29) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (14)

Convergence estimates for multigrid algorithms with SSC smoothers and applications to overlapping domain decomposition ⋮ Uniformly stable mixedhp-finite elements on multilevel adaptive grids with hanging nodes ⋮ Quantitative Anderson localization of Schrödinger eigenstates under disorder potentials ⋮ MFEM: a modular finite element methods library ⋮ Constraint-free adaptive FEMs on quadrilateral nonconforming meshes ⋮ Variational localizations of the dual weighted residual estimator ⋮ An adaptive octree finite element method for PDEs posed on surfaces ⋮ Global spatial regularity for elasticity models with cracks, contact and other nonsmooth constraints ⋮ Hexahedral constraint-free finite element method on meshes with hanging nodes ⋮ Adaptive \(hp\)-FEM for the contact problem with Tresca friction in linear elasticity: The primal-dual formulation and a posteriori error estimation ⋮ On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes ⋮ Nonconforming Mesh Refinement for High-Order Finite Elements ⋮ A Locally Conservative Enriched Galerkin Approximation and Efficient Solver for Elliptic and Parabolic Problems ⋮ Residual error based adaptive mesh refinement with the non-intrusive patch algorithm

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