An adaptive coupling method for exterior anisotropic elliptic problems

Zheng, Qian; Feng, Qingge; Gao, Yanyan

doi:10.1016/j.amc.2015.10.019

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2023

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“…The EFE-NBE method has been used to solve many linear problems [5] [6] and is generalized to solve quasilinear problems [7] [8] [9] [10] [11]. We find the CEFE-NBE method also has been used to solve some linear problems [12] [13] [14] [15], so we try to generalize it to quasilinear boundary value problem.…”

Section: Introductionmentioning

confidence: 99%

On the Coupled of NBEM and CFEM for an Anisotropic Quasilinear Problem in an Unbounded Domain with a Concave Angle

Tu¹,

Liu²

2023

AJCM

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In this paper, based on the Kirchhoff transformation and the natural boundary element method, a coupled natural boundary element and curved edge finite element is applied to solve the anisotropic quasi-linear problem in an unbounded domain with a concave angle. By using the principle of the natural boundary reduction, we obtain the natural integral equation on the artificial boundary of circular arc boundary, and get the coupled variational problem and its numerical method. Then the error and convergence of coupling solution are analyzed. Finally, some numerical examples are verified to show the feasibility of our method.

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