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The direct method of lines for the numerical solutions of interface problem. (English) Zbl 0946.65124

The direct method of lines is applied to solve interface problems numerically, reducing it to a variational-differential version through a transformation of coordinates. Optimal error estimates are given.

MSC:

65N40 Method of lines for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
Full Text: DOI

References:

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