Mesh optimization for singular axisymmetric harmonic maps from the disc into the sphere

DOI10.1007/s00211-005-0629-yzbMath1088.65106OpenAlexW2013707134MaRDI QIDQ2580992

Morgan Pierre, François Alouges

Publication date: 10 January 2006

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-005-0629-y

zbMATH Keywords

numerical examplesboundary layersmoving finite element method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Harmonic maps, etc. (58E20) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (1)

Moving mesh for the axisymmetric harmonic map flow

Uses Software

• NKA

Cites Work

• An optimal triangulation for second-order elliptic problems
• Large solutions for harmonic maps in two dimensions
• Minimum energy triangulations for elliptic problems
• The Dirichlet problem for harmonic maps from the disc into the 2-sphere
• Axially symmetric harmonic maps minimizing a relaxed energy
• A New Moving Mesh Algorithm for the Finite Element Solution of Variational Problems
• Singularities of harmonic maps
• A New Algorithm For Computing Liquid Crystal Stable Configurations: The Harmonic Mapping Case
• Design and Application of a Gradient-Weighted Moving Finite Element Code I: in One Dimension
• Weak SeriesBVConvergence of a Moving Finite-Element Method for Singular Axisymmetric Harmonic Maps
• Moving mesh methods in multiple dimensions based on harmonic maps
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