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The direct method of lines for the numerical solutions of interface problem

โœ Scribed by Houde Han; Zhongyi Huang

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
602 KB
Volume
171
Category
Article
ISSN
0045-7825

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โœฆ Synopsis

In this paper, a direct method of lines is proposed for solving the interface problem on a polygonal domain numerically. A suitable transformation of coordinates is introduced. then the interface problem is reduced to a variational-differential problem on a semi-infinite strip in the new variables p and t/J. Furthermore, the variational-differentional problem is discretized respect with variable t/J. thus we obtain the semi-discrete approximation of the interface problem. Finally, the optimal error estimate of the semi-discrete approximation is given and the numerical examples show that the direct method of lines is feasible and very effective for solving the interface problem numerically.

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