A Splitting Scheme for the Numerical Solution of the KWC System

DOI10.4208/nmtma.OA-2018-0050zbMath1449.65289WikidataQ128008505 ScholiaQ128008505MaRDI QIDQ5210330

Ronald H. W. Hoppe, James J. Winkle

Publication date: 22 January 2020

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

zbMATH Keywords

splitting methodcrystallizationKobayashi-Warren-Carter system

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Analysis of microstructure in solids (74N15) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) PDEs in connection with mechanics of deformable solids (35Q74) Numerical and other methods in solid mechanics (74S99)

Related Items (5)

Constrained optimization problems governed by PDE models of grain boundary motions ⋮ A space-time adaptive discontinuous Galerkin method for the numerical solution of the dynamic quasi-static von Kármán equations ⋮ Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems ⋮ Numerical simulation of the formation of spherulites in polycrystalline binary mixtures ⋮ Space-time adaptive splitting scheme for the numerical simulation of polycrystallization

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