Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/89362
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Title: Subdiffusion with a time-dependent coefficient : analysis and numerical solution
Authors: Jin, B
Li, B 
Zhou, Z 
Issue Date: 2019
Source: Mathematics of computation, 2019, v. 88, no. 319, p. 2157-2186
Abstract: In this work, a complete error analysis is presented for fully discrete solutions of the subdiffusion equation with a time-dependent diffusion coefficient, obtained by the Galerkin finite element method with conforming piecewise linear finite elements in space and backward Euler convolution quadrature in time. The regularity of the solutions of the subdiffusion model is proved for both nonsmooth initial data and incompatible source term. Optimal-order convergence of the numerical solutions is established using the proven solution regularity and a novel perturbation argument via freezing the diffusion coefficient at a fixed time. The analysis is supported by numerical experiments.
Publisher: American Mathematical Society
Journal: Mathematics of computation 
ISSN: 0025-5718
EISSN: 1088-6842
DOI: 10.1090/mcom/3413
Rights: First published in Mathematics of Computation 88 (February 6, 2019), published by the American Mathematical Society. © 2019 American Mathematical Society.
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