On a mesh optimization method based on a minimization of interpolation error

DOI10.1016/0020-7225(86)90148-5zbMath0591.65009OpenAlexW2070941782MaRDI QIDQ1075010

Leszek F. Demkowicz, J. Tinsley Oden

Publication date: 1986

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(86)90148-5

zbMATH Keywords

finite element methodmesh generationinterpolation errorsuboptimal meshes

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Related Items

Unnamed Item ⋮ Two-dimensional fully adaptive solutions of reaction-diffusion equations ⋮ Recovery and few parameter representation of the optimal mesh density function for near optimal finite element meshes ⋮ Discretization of free surface flows and other moving boundary problems ⋮ Distortion, degeneracy and rezoning in finite element -- a survey. ⋮ Toward a universal h-p adaptive finite element strategy. II: A posteriori error estimation ⋮ Adaptive refinement criterion for elliptic problems discretized by FEM ⋮ A posteriori error estimation

Cites Work

• Unnamed Item
• Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed
• Adaptive zoning for singular problems in two dimensions
• Applications and generalizations of variational methods for generating adaptive meshes
• Coordinate system control: Adaptive meshes
• A method of grid optimization for finite element methods
• Grading Functions and Mesh Redistribution

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