Constrained Approximation in hp-FEM: Unsymmetric Subdivisions and Multi-Level Hanging Nodes

DOI10.1007/978-3-642-15337-2_29zbMath1216.65161OpenAlexW165946244MaRDI QIDQ2998538

Andreas Schröder

Publication date: 18 May 2011

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-15337-2_29

zbMATH Keywords

numerical examplesPoisson equationhanging nodesirregular meshesconform \(hp\)-finite element schemesconnectivity matriceshierarchical tensor product shape functionsunsymmetric subdivisions

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items

Hybridization and stabilization for \textit{hp}-finite element methods, Convergence estimates for multigrid algorithms with SSC smoothers and applications to overlapping domain decomposition, A posteriori error control and adaptivity of \(hp\)-finite elements for mixed and mixed-hybrid methods, Unsymmetric multi-level hanging nodes and anisotropic polynomial degrees in \(H^1\)-conforming higher-order finite element methods, Construction of H-Refined Continuous Finite Element Spaces with Arbitrary Hanging Node Configurations and Applications to Multigrid Algorithms, An improved multigrid algorithm for \(n\)-irregular meshes with subspace correction smoother, Biorthogonal basis functions in \(hp\)-adaptive FEM for elliptic obstacle problems, Multi-level \(hp\)-adaptivity: high-order mesh adaptivity without the difficulties of constraining hanging nodes, Forward modelling of geophysical electromagnetic data on unstructured grids using an adaptive mimetic finite-difference method, The multi-level \(hp\)-method for three-dimensional problems: dynamically changing high-order mesh refinement with arbitrary hanging nodes

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