Unconditional optimal error estimates of BDF-Galerkin FEMs for nonlinear thermistor equations (Q257087)
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scientific article; zbMATH DE number 6555586
| Language | Label | Description | Also known as |
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| English | Unconditional optimal error estimates of BDF-Galerkin FEMs for nonlinear thermistor equations |
scientific article; zbMATH DE number 6555586 |
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Unconditional optimal error estimates of BDF-Galerkin FEMs for nonlinear thermistor equations (English)
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15 March 2016
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A third-order linearized backward differentiation formula (BDF)-Galerkin finite elements method(FEM) is proposed for the numerical solution of time-dependent nonlinear thermistor equations posed in dimensions D\(=2,3\). The author proves an optimal error estimate in the \(L^2\) norm, unconditionally, by introducing a proper temporal-spatial error splitting technique. The theoretical results are verified by 2D and 3D numerical experiments.
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nonlinear parabolic system
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unconditional convergence
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optimal error estimates
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Galerkin method
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linearized semi-implicit scheme
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backward differentiation formula (BDF)
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finite elements method
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numerical experiments
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