Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/89362
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. |
Appears in Collections: | Journal/Magazine Article |
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555_mcom corrected.pdf | Pre-Published version | 416.28 kB | Adobe PDF | View/Open |
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