CAJ | 학술논문

本文对于无界区域上各向异性外问题提出了在椭圆边界非均匀网格上的自然边界元法及其与有限元法的耦合法，证明相应的收敛定理和误差估计式，并且在这两种方法中引入基于等分布原理的移动网格技巧。最后，通过数值结果表明了误差收敛理论的正确性以及所提方法和技巧的有效性。
본문대우무계구역상각향이성외문제제출료재타원변계비균균망격상적자연변계원법급기여유한원법적우합법，증명상응적수렴정리화오차고계식，병차재저량충방법중인입기우등분포원리적이동망격기교。최후，통과수치결과표명료오차수렴이론적정학성이급소제방법화기교적유효성。
For the anisotropic problems in 2-D unbounded domains, this paper proposes a nat-ural BEM with non-uniform grids on the elliptic boundary and a coupling of NBEM and FEM with non-uniform grids on the elliptic artificial boundary. Then, the convergence theorems of the NBEM and the coupling method are proved. In addition, the moving mesh method based on equidistribution principle is introduced into the NBEM and the coupling method, respec-tively. Numerical examples verify the convergence theorems and demonstrate the advantage in accuracy and e?ciency of the proposed methods.