Variable degree mixed methods for second order elliptic problems. (English) Zbl 0592.65073

This paper generalizes the mixed finite elements. The local degree of the elements is allowed to vary over a polygonalization of the domain. Simple transition triangles and rectangles as well as composite transition ones are developed. The hybrid version of the variable degree mixed method is mentioned and error estimates are derived.
Reviewer: V.Drápalík


65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations