Minimum energy triangulations for elliptic problems

DOI10.1016/0045-7825(90)90080-6zbMath0742.65083OpenAlexW1982724195MaRDI QIDQ1179085

Bernard Schiff, Samuel Rippa

Publication date: 26 June 1992

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(90)90080-6

zbMATH Keywords

numerical resultsfinite element methodLaplace equationDelaunay triangulationminimum energy triangulationsoptimal meshingsuboptimal triangulations

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) 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) Triangulation and topological properties of semi-analytic andsubanalytic sets, and related questions (32B25)

Related Items (5)

Moving mesh for the axisymmetric harmonic map flow ⋮ Flips in planar graphs ⋮ Data-dependent triangulations for scattered data interpolation and finite element approximation ⋮ Interpolation error estimates for harmonic coordinates on polytopes ⋮ Mesh optimization for singular axisymmetric harmonic maps from the disc into the sphere

Cites Work

• Properties of \(n\)-dimensional triangulations
• Minimal roughness property of the Delaunay triangulation
• An optimal triangulation for second-order elliptic problems
• Finite element mesh generation methods: A review and classification
• Delaunay-based representation of surfaces defined over arbitrarily shaped domains
• Data Dependent Triangulations for Piecewise Linear Interpolation
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