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- W4283830261 abstract "In this paper, the error analysis of Galerkin finite element method (FEM) is investigated for a nonlinear parabolic integro-differential equation in two dimensions. By skillfully and rigorously manipulating the nonlinear term, optimal error estimates in L ∞ ( L 2 ( Ω ) ) and L ∞ ( H 1 ( Ω ) ) are obtained for a linearized backward Euler fully-discrete scheme, which improves the suboptimal approximation in L ∞ ( L 2 ( Ω ) ) in the previous literature. Finally, some numerical results are provided to verify the theoretical findings." @default.
- W4283830261 created "2022-07-07" @default.
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- W4283830261 date "2022-11-01" @default.
- W4283830261 modified "2023-10-12" @default.
- W4283830261 title "Optimal error estimates of Galerkin method for a nonlinear parabolic integro-differential equation" @default.
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- W4283830261 doi "https://doi.org/10.1016/j.apnum.2022.06.014" @default.
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