A finite element method for three-dimensional unstructured grid smoothing

DOI10.1016/j.jcp.2004.06.026zbMath1061.65133OpenAlexW1963797182MaRDI QIDQ703758

Randy Bos, Glen Hansen, Doran Greening, Andrew Zardecki

Publication date: 11 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.06.026

zbMATH Keywords

numerical examplesFinite elementsGalerkin methodsMesh generationelliptic grid equationsElliptic smoothing

Mathematics Subject Classification ID

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)

Related Items (11)

Numerical prediction of interfacial instabilities: Sharp interface method (SIM) ⋮ Fast smoothing of mixed volume meshes based on the effective geometric element transformation method ⋮ Laplace-Beltrami enhancement for unstructured two-dimensional meshes having dendritic elements and boundary node movement ⋮ 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 ⋮ Simulations of multiphase flows with multiple length scales using moving mesh interface tracking with adaptive meshing ⋮ Obtaining smooth mesh transitions using vertex optimization ⋮ Three-dimensional elliptic grid generation with fully automatic boundary constraints ⋮ Unstructured surface mesh adaptation using the Laplace-Beltrami target metric approach ⋮ A continuum theory for unstructured mesh generation in two dimensions ⋮ The vertex morphing method for node-based shape optimization

Uses Software

• BPKit

Cites Work

• An adaptive grid with directional control
• Adaptive grid generation from harmonic maps on Riemannian manifolds
• Adaptive zoning for singular problems in two dimensions
• A finite element method for unstructured grid smoothing.
• Reference Jacobian optimization-based rezone strategies for arbitrary Lagrangian Eulerian methods
• Winslow smoothing on two-dimensional unstructured meshes
• Three dimensional grid generation using biharmonics
• Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies
• Quasi-Orthogonal Grids with Impedance Matching
• Boundary-orthogonal biharmonic grids via preconditioned gradient methods
• An object-oriented framework for block preconditioning
• Parallel Newton--Krylov--Schwarz Algorithms for the Transonic Full Potential Equation
• Mesh deformation using the biharmonic operator
• High accuracy solution of three-dimensional biharmonic equations
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