A finite element method for unstructured grid smoothing.

DOI10.1016/j.jcp.2003.09.014zbMath1039.65086OpenAlexW2032919106MaRDI QIDQ1427841

Glen Hansen, Andrew Zardecki, Randy Bos, Doran Greening

Publication date: 14 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2003.09.014

zbMATH Keywords

finite elementsnumerical examplesmesh generationDirichlet boundary value problemRiemann spaceGalerkin methodsLaplace equationselliptic smoothing

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Elliptic equations on manifolds, general theory (58J05) 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 (8)

Adaptive deformation of 3D unstructured meshes with curved body fitted boundaries with application to unsteady compressible flows ⋮ Laplace-Beltrami enhancement for unstructured two-dimensional meshes having dendritic elements and boundary node movement ⋮ In-plane mesh regularization for node-based shape optimization problems ⋮ An effective integration of methods for second-order three-dimensional multi-material ALE method on unstructured hexahedral meshes using MOF interface reconstruction ⋮ Efficient nonlinear solvers for Laplace-Beltrami smoothing of three-dimensional unstructured grids ⋮ A finite element method for three-dimensional unstructured grid smoothing ⋮ Unstructured surface mesh adaptation using the Laplace-Beltrami target metric approach ⋮ High-order unstructured curved mesh generation using the Winslow equations

Uses Software

• BPKit
• Triangle

Cites Work

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• Application of Bubnov-Galerkin formulation to orthogonal grid generation
• TOMCAT - a code for numerical generation of boundary-fitted curvilinear coordinate systems on fields containing any number of arbitrary two- dimensional bodies
• On application of differential geometry to computational mechanics
• Delaunay refinement algorithms for triangular mesh generation
• Reference Jacobian optimization-based rezone strategies for arbitrary Lagrangian Eulerian methods
• Winslow smoothing on two-dimensional unstructured meshes
• Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies
• On the folding of numerically generated grids: Use of a reference grid
• An object-oriented framework for block preconditioning
• Parallel Newton--Krylov--Schwarz Algorithms for the Transonic Full Potential Equation

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