Time discretization of an initial value problem for a simultaneous abstract evolution equation applying to parabolic-hyperbolic phase-field systems

DOI10.1051/m2an/2019086zbMath1437.65120arXiv1906.06887OpenAlexW2992728882MaRDI QIDQ5108964

Shunsuke Kurima

Publication date: 7 May 2020

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.06887

zbMATH Keywords

existenceerror estimatestime discretizationsparabolic-hyperbolic phase-field systemssimultaneous abstract evolution equations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Boundary value problems for nonlinear higher-order PDEs (35G30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) Applications of operator theory to differential and integral equations (47N20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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