Numerical Approximation of Interface Problems for Elliptic Differential Equations

Abstract:

It is discussed that the numerical approximation of interface problems for elliptic partial differential equations. For the interface problems with variable coefficients, it is introduced that a particular finite element method combined with the infinite element method to approach the singular solution in the neighborhood of the singular points, and it is proved that the method possesses the same accuracy as the finite element method to the regular solution. Numerical examples are also given.

Key words:

infinite element method; interface problem; singularity

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