Convergence of the finite element method applied to an anisotropic phase-field model

DOI10.5802/ambp.186zbMath1155.74404OpenAlexW2035205846MaRDI QIDQ2566585

Erik Burman, Daniel Kessler, Jacques Rappaz

Publication date: 26 September 2005

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_2004__11_1_67_0

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (2)

PARALLEL NUMERICAL METHODS FOR THE SOLUTION OF NONLINEAR PARABOLIC SYSTEMS ⋮ Stability and convergence of two discrete schemes for a degenerate solutal non-isothermal phase-field model

Uses Software

• ALBERT

Cites Work

• An error estimate for a finite-element scheme for a phase field model
• A Numerical Approach to Three-Dimensional Dendritic Solidification
• Existence of solutions to an anisotropic phase-field model
• Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits
• A priori error estimates of a finite-element method for an isothermal phase-field model related to the solidification process of a binary alloy
• Existence of solutions to a phase-field model for the isothermal solidification process of a binary alloy
• Direct methods in the calculus of variations
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