Domain Deformation Mapping: Application to Variational Mesh Generation

DOI10.1137/S1064827594274760zbMath0931.65088OpenAlexW2016836275MaRDI QIDQ4253060

Valmor F. de Almeida

Publication date: 24 June 1999

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827594274760

zbMATH Keywords

variational mesh generationfree and moving boundary problemsdomain deformation mappingmechanics of hyperelastic bodies

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (max. 100)

Barrier variational generation of quasi-isometric grids ⋮ Dynamics of viscoelastic liquid filaments: low capillary number flows ⋮ Universal meshes: A method for triangulating planar curved domains immersed in nonconforming meshes ⋮ Provably Robust Directional Vertex Relaxation for Geometric Mesh Optimization ⋮ Discrete Mesh Optimization on GPU ⋮ An isochoric domain deformation method for computing steady free surface flows with conserved volumes ⋮ A computational study of the effect of viscoelasticity on slot coating flow of dilute polymer solutions ⋮ Adaptive discrete harmonic grid generation ⋮ Adaptivity with moving grids ⋮ A Conservative Finite Element ALE Scheme for Mass-Conservative Reaction-Diffusion Equations on Evolving Two-Dimensional Domains

Uses Software

• PITCON

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