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>Experimental asymptotic convergence of the collocation method for boundary integral equations on polygons governing Laplace's equation
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Experimental asymptotic convergence of the collocation method for boundary integral equations on polygons governing Laplace's equation
Previously Costabel and Stephan proved the convergence of the collocation method for boundary integral equations on polygonal domains for piecewise linear trial functions which are constant on subintervals next to corners. The convergence and associated error estimates were given in suitable Sobolev spaces with appropriately weighted norms.
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机译:此前,Costabel 和 Stephan 证明了多边形域上边界积分方程的搭配方法的收敛性,用于分段线性试验函数,这些函数在角旁边的子区间上是恒定的。收敛和相关误差估计是在具有适当加权范数的合适 Sobolev 空间中给出的。
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