Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model (Q820708)
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scientific article; zbMATH DE number 7401533
| Language | Label | Description | Also known as |
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| English | Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model |
scientific article; zbMATH DE number 7401533 |
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Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model (English)
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27 September 2021
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The authors develop a finite element method for a time-fractional PDE of subdiffusion type that involves a distributed order time derivative. The method is shown to be fast. The error analysis, however, requires a high degree of smoothness that is usually hard to achieve in practice.
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time two-mesh algorithm
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\(H^1\)-Galerkin mixed finite element method
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Crank-Nicolson formula
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nonlinear distributed-order sub-diffusion model
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stability
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a priori error analysis
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