Newton and conjugate gradient for harmonic maps from the disc into the sphere

DOI10.1051/cocv:2003040zbMath1076.65062OpenAlexW2168106691MaRDI QIDQ5465544

Morgan Pierre

Publication date: 9 August 2005

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=COCV_2004__10_1_142_0

zbMATH Keywords

convergencefinite elementspreconditioningSobolev gradientconjugate gradientmesh-refinementNewton algorithmHarmonic maps

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (2)

Computation of Ground States of the Gross--Pitaevskii Functional via Riemannian Optimization ⋮ A Newton-penalty method for a simplified liquid crystal model

Uses Software

• Triangle

Cites Work

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