Convergence of the High-Accuracy Algorithm for Solving the Dirichlet Problem of the Modified Helmholtz Equation
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-20
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this paper, we derive the convergence for the high-accuracy algorithm in solving the Dirichlet problem of the modified Helmholtz equation.
By the boundary element method, we transform the system to be a boundary integral equation.
The high-accuracy algorithm using the specific quadrature rule is developed to deal with weakly singular integrals.
The convergence of the algorithm is proved based on Anselone’s collective compact theory.
Moreover, an asymptotic error expansion shows that the algorithm is of order Oh03.
The numerical examples support the theoretical analysis.
American Psychological Association (APA)
Li, Hu& Zeng, Guang. 2020. Convergence of the High-Accuracy Algorithm for Solving the Dirichlet Problem of the Modified Helmholtz Equation. Complexity،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1142927
Modern Language Association (MLA)
Li, Hu& Zeng, Guang. Convergence of the High-Accuracy Algorithm for Solving the Dirichlet Problem of the Modified Helmholtz Equation. Complexity No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1142927
American Medical Association (AMA)
Li, Hu& Zeng, Guang. Convergence of the High-Accuracy Algorithm for Solving the Dirichlet Problem of the Modified Helmholtz Equation. Complexity. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1142927
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142927