A numerical algorithm is presented to solve a benchmark problem proposed by Hemker. The algorithm incorporates asymptotic information into the design of appropriate piecewise-uniform Shishkin meshes. Moreover, different co-ordinate systems are utilized due to the different geometries and associated layer structures that are involved in this problem. Numerical results are presented to demonstrate the effectiveness of the proposed numerical algorithm.
翻译:为了解决Hemker提出的一个基准问题,提出了一种数字算法。算法将非现成的信息纳入适当的拼写统一Shishkin meshes的设计中。此外,由于这一问题涉及不同的地理分布和相关的层结构,因此使用了不同的协调系统。提出了数字结果,以证明拟议的数字算法的有效性。