Convergent Adaptive Finite Element Method Based on Centroidal Voronoi Tessellations and Superconvergence

DOI10.4208/cicp.030210.051110azbMath1364.65251OpenAlexW2039132604MaRDI QIDQ5345903

Qiang Du, Desheng Wang, Hengfeng Qin, Yunqing Huang

Publication date: 7 June 2017

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ab92dc1d5c64de2373cacd2e4e805ef60fd2c34f

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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Linear finite element superconvergence on simplicial meshes ⋮ Optimization of Subdivision Invariant Tetrahedra ⋮ An adaptive edge finite element method for electromagnetic cloaking simulation ⋮ Anisotropic mesh generation methods based on ACVT and natural metric for anisotropic elliptic equation ⋮ A New a Posteriori Error Estimate for Adaptive Finite Element Methods ⋮ Adaptive finite element analysis of elliptic problems based on bubble-type local mesh generation ⋮ Fast centroidal Voronoi Delaunay triangulation for unstructured mesh generation ⋮ Adaptive tetrahedral mesh generation by constrained centroidal voronoi‐delaunay tessellations for finite element methods ⋮ Superconvergence analysis for the explicit polynomial recovery method ⋮ A modified bubble placement method and its application in solving elliptic problem with discontinuous coefficients adaptively

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