Splitting extrapolation algorithms for solving the boundary integral equations of anisotropic Darcy’s equation on polygons by mechanical quadrature methods

In this paper we study the stability and convergence of the solution for the first kind integral equations of the anisotropic Darcy’s equations by the mechanical quadrature methods on closed polygonal boundaries in ℝ 2 . Using the collectively compact theory, we construct numerical solutions which c...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 62; no. 1; pp. 27 - 43
Main Authors:	Luo, Xin, Huang, Jin, Wang, Chuan-Long
Format:	Journal Article
Language:	English
Published:	Boston Springer US 01.01.2013 Springer Nature B.V
Subjects:	Adaptive algorithms Algebra Algorithms Asymptotic methods Boundary integral method Computer Science Convergence Extrapolation Integral equations Numeric Computing Numerical Analysis Numerical methods Original Paper Polygons Quadratures Splitting Theory of Computation Anisotropic Mechanical quadrature methods Darcy’s equation A posteriori estimate Splitting extrapolation algorithm
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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