INTERNODES for Elliptic Problems
The INTERNODES (INTERpolation for NOnconforming DEcompositionS) method is an interpolation based approach to solve partial differential equations on non-conforming discretizations. In this paper we sketch its formulation when it is applied to second-order elliptic problems. Therefore we apply it to the Kellogg’s test case with jumping coefficients and to an infinitely differentiable test solution. In both cases, INTERNODES attains optimal rate of convergence (i.e., that of the best approximation error in each subdomain).
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