A solution to boundary value problems with over-specified boundary conditions
The problem of determining the unknown terms of a differential equation from over-specified boundary conditions is solved by means of the potential theory. The boundary values of compatibility functions adapting the differential equations to the prescribed boundary conditions are introduced as explicit unknowns in the system of linear equations. Two applications to fluid mechanics are presented, which demonstrate the efficiency of the method.
scientific article; zbMATH DE number 3939885