A hybrid mesh deformation algorithm using anisotropic PDEs and multiobjective mesh optimization

DOI10.1016/J.CAMWA.2015.08.008zbMath1443.65414OpenAlexW1772038052MaRDI QIDQ2006475

Jibum Kim, Suzanne M. Shontz, Brian J. Miller

Publication date: 11 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2015.08.008

zbMATH Keywords

finite element methodanisotropymoving meshmesh optimizationdeforming domainmesh warping

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (5)

Efficient mesh deformation using radial basis functions with a grouping-circular-based greedy algorithm ⋮ Anisotropic mesh adaptation for region-based segmentation accounting for image spatial information ⋮ An iterative mesh untangling algorithm using edge flip ⋮ An efficient radial basis functions mesh deformation with greedy algorithm based on recurrence Cholesky decomposition and parallel computing ⋮ Efficient mesh deformation based on Cartesian background mesh

Cites Work

• A fast mesh deformation method using explicit interpolation
• Survey of multi-objective optimization methods for engineering
• Image-based geometric modeling and mesh generation
• Analysis of and workarounds for element reversal for a finite element-based algorithm for warping triangular and tetrahedral meshes
• Automatic mesh update with the solid-extension mesh moving technique
• Finite element analysis over tangled simplicial meshes: Theory and implementation
• Mesh Moving Techniques for Fluid-Structure Interactions With Large Displacements
• Updating meshes on deforming domains: An application of the target‐matrix paradigm
• Mesh deformation using the biharmonic operator
• A bézier-based approach to unstructured moving meshes
• A multiobjective mesh optimization framework for mesh quality improvement and mesh untangling

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