A multilevel additive Schwarz method for a hypersingular integral equation on an open curve with graded meshes
The author applies the additive Schwarz method for solving of integral equations of the first kind for the uniform \(h\)-version of the Galerkin method on an algebraically graded mesh (two-dimensional case is considered). It is proved that the condition number of the preconditioned system grows only polylogarithmically with respect to the number of unknowns. Numerical examples are given.
scientific article; zbMATH DE number 5574600
scientific article