A new conservative finite difference scheme for 1D Cahn-Hilliard equation coupled with elasticity
DOI10.1515/jaa-2021-2071zbMath1506.65130OpenAlexW4210304933MaRDI QIDQ2101158
Shuji Yoshikawa, Kazuki Shimura
Publication date: 28 November 2022
Published in: Journal of Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jaa-2021-2071
elasticityCahn-Hilliard equationphase separationfinite difference methodsviscoelasticitystructure-preserving
Nonlinear elasticity (74B20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Nonlinear constitutive equations for materials with memory (74D10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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