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首页> 外文期刊>Journal of Computational Physics >ORTHOGONAL COLLOCATION IN THE NONCONFORMING BOUNDARY ELEMENT METHOD
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ORTHOGONAL COLLOCATION IN THE NONCONFORMING BOUNDARY ELEMENT METHOD

机译：非协调边界元方法中的正交聚集

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This paper outlines the use of non-conforming (discontinuous) elements in the collocation boundary element method for solving two-dimensional potential and Poisson type problems. The roots of an orthogonal polynomial (shifted Jacobi polynomial) are used as the collocation points. This results in increased accuracy due to the least square minimization property of the orthogonal polynomials, The advantage of using non-conforming elements is realized when the method is applied (i) to problems with singularities (both due to geometry and boundary conditions) and (ii) in conjunction with domain decomposition techniques. Also, the collocation points can be relocated within an element by changing two user-defined parameters in the shifted Jacobi polynomial,thus providing an error indicator which can be used for mesh refinement purposes. This technique, called the rh method, is discussed and illustrated. The results obtained by using non-conforming boundary elements for standard test problems are shown to be accurate. (C) 1995 Academic Press. Inc. [References: 31]
机译：本文概述了在搭配边界元法中使用不合格（不连续）元来解决二维势和泊松型问题。正交多项式（移位的Jacobi多项式）的根用作搭配点。由于正交多项式的最小二乘最小化性质，这导致精度提高。当将方法应用于（i）奇异性问题（由于几何和边界条件）和（ ii）结合领域分解技术。同样，可以通过更改移位的Jacobi多项式中的两个用户定义的参数来将并置点重新定位在元素内，从而提供可用于网格细化目的的错误指示符。讨论并说明了这种称为rh方法的技术。通过对标准测试问题使用不合格边界元素获得的结果显示是准确的。 （C）1995年学术出版社。 Inc. [参考：31]

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