Complementary error bounds for foolproof finite element mesh generation

DOI10.1016/0378-4754(85)90001-1zbMath0573.65089OpenAlexW2094221222MaRDI QIDQ1062742

D. N. Shenton, Zoltan Cendes

Publication date: 1985

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(85)90001-1

zbMATH Keywords

convergence accelerationfinite element methodsLaplace equationmesh refinementcomplementary variational principlestechnique of Voronoï polygons

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) 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 (5)

Developments and trends in three-dimensional mesh generation ⋮ The legacy of automatic mesh generation from solid modeling ⋮ Parallel unstructured grid generation ⋮ Automatic mesh generator with specified boundary ⋮ Constructing a Pareto front approximation for decision making

Cites Work

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• Algorithms for refining triangular grids suitable for adaptive and multigrid techniques
• Mesh Refinement Processes Based on the Generalized Bisection of Simplices
• Two algorithms for constructing a Delaunay triangulation
• A Complementary Solution to the Dam Problem

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