Finite element minimization of curvature functionals with anisotropy

DOI10.1007/BF02575878zbMath0930.53006OpenAlexW2093663468MaRDI QIDQ1817507

R. Goglione, Francesca Fierro, Maurizio Paolini

Publication date: 9 February 2000

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02575878

zbMATH Keywords

finite elementsanisotropyconvex approximationsprescribed curvature

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)

Cites Work

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• Some results on surface measures in calculus of variations
• Preconditioned conjugate gradients for solving singular systems
• Toward a nonequilibrium thermodynamics of two-phase materials
• Convex approximations of functionals with curvature
• Convex approximation of an inhomogeneous anisotropic functional
• Anisotropic motion by mean curvature in the context of Finsler geometry
• Crystalline variational problems
• Curvature-Driven Flows: A Variational Approach
• Numerical simulations of measurements of capillary contact angles

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