Schwarz alternating methods for anisotropic problems with prolate spheroid boundaries.
The Schwarz alternating algorithm, which is based on natural boundary element method, is constructed for solving the exterior anisotropic problem in the three-dimension domain. The anisotropic problem is transformed into harmonic problem by using the coordinate transformation. Correspondingly, the algorithm is also changed. Continually, we analysis the convergence and the error estimate of the algorithm. Meanwhile, we give the contraction factor for the convergence. Finally, some numerical examples are computed to show the efficiency of this algorithm.
Jiangsu Key Laboratory for NSLSCS, School of Mathematics Sciences, Nanjing Normal University, No. 1 Wenyuan Road, Nanjing, 210023 People's Republic of China.
Zhenlong
Z
Dai
Jiangsu Key Laboratory for NSLSCS, School of Mathematics Sciences, Nanjing Normal University, No. 1 Wenyuan Road, Nanjing, 210023 People's Republic of China.
Qikui
Q
Du
School of Applied Mathematics, Nanjing University of Finance and Economics, No. 3 Wenyuan Road, Nanjing, 210023 People's Republic of China.
Baoqing
B
Liu
Artificial boundary; Exterior anisotropic problem; Iteration method; Prolate ellipsoidal; Schwarz alternating algorithm