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- W4287811956 abstract "We derive optimal $L^2$-error estimates for semilinear time-fractional subdiffusion problems involving Caputo derivatives in time of order $alphain (0,1)$, for cases with smooth and nonsmooth initial data. A general framework is introduced allowing a unified error analysis of Galerkin type space approximation methods. The analysis is based on a semigroup type approach and exploits the properties of the inverse of the associated elliptic operator. Completely discrete schemes are analyzed in the same framework using a backward Euler convolution quadrature method in time. Numerical examples including conforming, nonconforming and mixed finite element (FE) methods are presented to illustrate the theoretical results." @default.
- W4287811956 created "2022-07-26" @default.
- W4287811956 creator A5071321514 @default.
- W4287811956 date "2020-04-25" @default.
- W4287811956 modified "2023-09-27" @default.
- W4287811956 title "Galerkin Type Methods for Semilinear Time-Fractional Diffusion Problems" @default.
- W4287811956 doi "https://doi.org/10.48550/arxiv.2004.12113" @default.
- W4287811956 hasPublicationYear "2020" @default.
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