Solving variational problems and partial differential equations mapping into general target manifolds.

DOI10.1016/j.jcp.2003.10.007zbMath1044.65060OpenAlexW2045311917MaRDI QIDQ1428663

Facundo Mémoli, Guillermo Sapiro, Stanley J. Osher

Publication date: 29 March 2004

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

Full work available at URL: http://purl.umn.edu/3718

zbMATH Keywords

variational problemspartial differential equationsgeometric mappingtarget manifolds

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational methods applied to PDEs (35A15) Existence theories for free problems in two or more independent variables (49J10) Harmonic maps, etc. (58E20) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (10)

Numerical methods for minimization problems constrained to \(S^1\) and \(S^2\) ⋮ Parameterization of planar curves immersed in triangulations with application to finite elements ⋮ Paley-Wiener approximations and multiscale approximations in Sobolev and Besov spaces on manifolds ⋮ Maintaining the point correspondence in the level set framework ⋮ Solving variational problems and partial differential equations that map between manifolds via the closest point method ⋮ A posteriori error estimates for finite volume approximations of elliptic equations on general surfaces ⋮ Topology optimization of conformal structures on manifolds using extended level set methods (X-LSM) and conformal geometry theory ⋮ Fourth order partial differential equations on general geometries ⋮ A computational approach to flame hole dynamics using an embedded manifold approach ⋮ High Order Discontinuous Galerkin Methods for Elliptic Problems on Surfaces

Uses Software

• VTK
• Flujos

Cites Work

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