A Numerical Study of the Poisson Equation with Arbitrary Domains Based on the Extrapolation Technique
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Published:2023-03-01
Issue:1
Volume:2455
Page:012017
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ISSN:1742-6588
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Container-title:Journal of Physics: Conference Series
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language:
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Short-container-title:J. Phys.: Conf. Ser.
Author:
Zhang Hui,Yu Pan,Shi Xueying,Li Lin
Abstract
Abstract
The Poisson equation with arbitrary domains is considered in this paper using an extrapolation technique. The two-dimensional problem is primarily examined, and the extrapolation formulas O2 and O4 are thoroughly deduced. Not only the effect of different extrapolations on boundary point errors is analyzed, but a strategy for selecting extrapolation points is also provided. Finally, numerical accuracy results are presented.
Subject
Computer Science Applications,History,Education
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