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자연과학대학
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Journal papers
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A super-convergence analysis of the Poisson solver with Octree grids and irregular domains
Title
A super-convergence analysis of the Poisson solver with Octree grids and irregular domains
Authors
Kim J.
;
Min C.
;
Lee B.
Ewha Authors
민조홍
SCOPUS Author ID
민조홍
Issue Date
2023
Journal Title
Journal of Computational Physics
ISSN
2199-9991
Citation
Journal of Computational Physics vol. 488
Keywords
Hodge decomposition
;
Irregular domain
;
Octree
;
Poisson equation
;
Super-convergence
Publisher
Academic Press Inc.
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
Resolving the difficulty of T-junctions in Octree grids, Losasso et al. [9] introduced an ingenious Poisson solver with rectangular domains and Neumann boundary conditions. Its numerical solution was empirically observed [9] to be second order convergent and its numerical gradient was rigorously proved [8] to be one and a half order convergent, which is the so-called super-convergence. This article is devoted to extending the Poisson solver and its supporting proof from rectangular to irregular domains. The generalized Whitney decomposition [12] efficiently generates octree grids for irregular domains imposing the finest resolution near the boundary of domain. Combined with the Heaviside treatment [17,4], the Poisson solver is extended to irregular domains and a novel and rigorous analysis shows that the aforementioned super-convergence still holds true. © 2023 Elsevier Inc.
DOI
10.1016/j.jcp.2023.112212
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