Natural Doundary Element Method for Elliptic Boundary Value Problems in Domains with Concave Angle

Authors

Qi-Kui Du, School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, P R China.
De-Hao Yu, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100080, P R China.

Abstract

In this paper the natural boundary reduction for some elliptic boundary value problems with concave angle domains and its natural boundary element methods are investigated. Natural integral equations and Poisson integral formulae are given. A finite element methods of natural integral equations are discussed in details. The convergence of approximate solutions and their error estimates are obtained. Some numerical experiments are presented to demonstrate the performance of the method and our estimates. As an application, we present the coupling of FEM and natural boundary element.

Recommended Citation

Du, Qi-Kui and Yu, De-Hao (2001) "Natural Doundary Element Method for Elliptic Boundary Value Problems in Domains with Concave Angle," Journal of Marine Science and Technology: Vol. 9: Iss. 2, Article 2.
DOI: 10.51400/2709-6998.2437
Available at: https://jmstt.ntou.edu.tw/journal/vol9/iss2/2