A Fast Sine Transform Accelerated High-Order Finite Difference Method for Parabolic Problems over Irregular Domains

In this paper, a new Cartesian grid finite difference scheme is introduced for solving parabolic initial-boundary value problems involving irregular domains and Robin boundary condition in two and three dimensions. In spatial discretization, a ray-casting matched interface and boundary (MIB) method...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 95; no. 2; p. 49
Main Authors:	Li, Chuan, Ren, Yiming, Long, Guangqing, Boerman, Eric, Zhao, Shan
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.05.2023 Springer Nature B.V
Subjects:	Algorithms Boundary conditions Boundary value problems Cartesian coordinates Computational Mathematics and Numerical Analysis Dirichlet problem Discretization Finite difference method Interfaces Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Methods Numerical analysis Partial differential equations Theoretical Robin boundary condition Parabolic initial-boundary value problems 65M06 Fast Fourier transform (FFT) 65M85 Irregular domains 65M12 Matched interface and boundary (MIB)
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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