Solving negative order equations by the multigrid method via variable substitution
The authors propose a numerical solution of boundary element equations of negative order one, arising from exterior boundary value problems. For this purpose, they introduce variable substitutions to the single layer potential equations such that the order of the pseudo-differential operator is changed from minus one to plus one. The resulting linear system of boundary element equations is solved by a multigrid method.
negative-order pseudo-differential operator
scientific article; zbMATH DE number 6373619
scientific article