Moving mesh for the axisymmetric harmonic map flow

DOI10.1051/m2an:2005034zbMath1078.35008OpenAlexW2131660019MaRDI QIDQ5695402

Benoît Merlet, Morgan Pierre

Publication date: 12 October 2005

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2005__39_4_781_0

zbMATH Keywords

finite elementsmoving meshaxisymmetricharmonic map flowcorotational degreecorotational initial data

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Theoretical approximation in context of PDEs (35A35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Uses Software

• NKA

Cites Work

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• Large solutions for harmonic maps in two dimensions
• Minimum energy triangulations for elliptic problems
• Heat flow and boundary value problem for harmonic maps
• Uniqueness for the harmonic map flow in two dimensions
• Nonuniqueness for the heat flow of harmonic maps on the disk
• Optimization. Algorithms and consistent approximations
• Uniqueness for the harmonic map flow from surfaces to general targets
• On singularities of the heat flow for harmonic maps from surfaces into spheres
• Mesh optimization for singular axisymmetric harmonic maps from the disc into the sphere
• A New Moving Mesh Algorithm for the Finite Element Solution of Variational Problems
• 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
• Harmonic Mappings of Riemannian Manifolds

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