Nonsmooth data error estimates for fully discrete finite element approximations of semilinear parabolic equations in Banach space

DOI10.1016/j.cam.2024.115939zbMath1541.65113MaRDI QIDQ6569175

Wan-Sheng Wang, Unnamed Author, Jin-ping Li

Publication date: 8 July 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

regularitysemilinear parabolic equationsAllen-Cahn equationsstability and error estimatesnonsmooth initial dataimplicit-explicit Euler method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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