An adaptive, multilevel scheme for the implicit solution of three-dimensional phase-field equations

DOI10.1002/num.20634zbMath1431.65164OpenAlexW1997949229WikidataQ59903041 ScholiaQ59903041MaRDI QIDQ3068790

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Publication date: 17 January 2011

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: http://eprints.whiterose.ac.uk/78689/10/3D%20Phase-field_with_coversheet.pdf

zbMATH Keywords

adaptive methodsstiff systemsnonlinear partial differential equationsmultigrid methodsphase-field modelsmultiscale problemsphase-change problems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (4)

Error estimate of the finite volume scheme for the Allen-Cahn equation ⋮ Nonlinear multigrid methods for second order differential operators with nonlinear diffusion coefficient ⋮ Evolution of specific interface area during solidification: a three-dimensional thermosolutal phase-field study ⋮ Three dimensional thermal-solute phase field simulation of binary alloy solidification

Uses Software

• PARAMESH

Cites Work

• Unnamed Item
• Parallel multigrid in an adaptive PDE solver based on hashing and space-filling curves
• Adaptive mesh refinement computation of solidification microstructures using dynamic data structures
• A comparison of some dynamic load-balancing algorithms for a parallel adaptive flow solver
• A parallel 3D dendritic growth simulator using the phase-field method
• A fully implicit, fully adaptive time and space discretisation method for phase-field simulation of binary alloy solidification
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• Parallel adaptive multigrid methods in plane linear elasticity problems
• An adaptive multigrid tool for elliptic and parabolic systems
• Quantitative phase-field modeling of dendritic growth in two and three dimensions

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