Numerical verifications of solutions for elliptic equations in nonconvex polygonal domains
Numerical verifications of solutions for elliptic equations in nonconvex polygonal domains
复制标题
非凸多边形域中椭圆方程解的数值验证
DOI：
10.1007/bf01385765
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发表时间：
1993
影响因子：
2.1
通讯作者：
M. Nakao
中科院分区：
文献类型：
--
作者：
N. Yamamoto;M. Nakao
本文研究了非凸多边形域上椭圆方程解的数值验证方法。为了用计算机验证解，需要确定一些出现在先验误差估计中的常量。我们提出了一些确定这些常数的方法。在数值算例中，我们计算了ANL形区域的这些常数，验证了一个非线性椭圆型方程的解。
SummaryIn this paper, methods for numerical verifications of solutions for elliptic equations in nonconvex polygonal domains are studied. In order to verify solutions using computer, it is necessary to determine some constants which appear in a priori error estimations. We propose some methods for determination of these constants. In numerical examples, calculating these constants for anL-shaped domain, we verify the solution of a nonlinear elliptic equation.