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- W4313255722 abstract "We propose a fast numerical algorithm for the multi-dimensional heat equation on unbounded domains with strips tails. The artificial boundary method is used to confine the computational domains. By applying BDF2 for the time discretization and performing the Z transform, we derive an exact semi-discrete artificial boundary condition which contains the discrete temporal convolution and the surface Laplacian operator. Based on the best relative Chebyshev approximation of the square-root function, we design a fast algorithm to approximate and localize the exact semi-discrete artificial boundary condition. The spatial discretization is realized by the Galerkin finite element method with a special boundary treatment. A complete error estimate for the fully discrete problems is performed, and numerical tests are presented to demonstrate the accuracy and efficiency of the proposed algorithm." @default.
- W4313255722 created "2023-01-06" @default.
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- W4313255722 date "2023-06-01" @default.
- W4313255722 modified "2023-09-26" @default.
- W4313255722 title "Fast artificial boundary method for the heat equation on unbounded domains with strip tails" @default.
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- W4313255722 doi "https://doi.org/10.1016/j.cam.2022.115032" @default.
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