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Updated: Mar 15, 2026

An Efficient and Flexible Cell Aggregation Method for 3D Spheroid Production
Published on: March 27, 2017
Schwarz alternating methods for anisotropic problems with prolate spheroid boundaries
Zhenlong Dai1, Qikui Du1, Baoqing Liu2
1Jiangsu Key Laboratory for NSLSCS, School of Mathematics Sciences, Nanjing Normal University, No. 1 Wenyuan Road, Nanjing, 210023 People's Republic of China.
Abstract:
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.
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