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- W4230780028 abstract "Superconvergence in the ${L^2}$-norm for the Galerkin approximation of the integral equation $Lu = f$ is studied, where L is a strongly elliptic pseudodifferential operator on a smooth, closed or open curve. Let ${u_h}$ be the Galerkin approximation to u. By using the K-operator, an operator that averages the values of ${u_h}$, we will construct a better approximation than ${u_h}$ itself. That better approximation is a legacy of the highest order of convergence in negative norms. For Symmâs equation on a slit the same order of convergence can be recovered if the mesh is suitably graded." @default.
- W4230780028 created "2022-05-11" @default.
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- W4230780028 date "1995-05-01" @default.
- W4230780028 modified "2023-10-17" @default.
- W4230780028 title "The $K$-operator and the Galerkin method for strongly elliptic equations on smooth curves: local estimates" @default.
- W4230780028 doi "https://doi.org/10.1090/s0025-5718-1995-1284671-2" @default.
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