Convergence of Mixed Finite-Element Approximations of a Class of Linear Boundary-Value Problems

Abstract

Abstract : Convergence and general properties of mixed finite element models of a general class of boundary-value problems of the type Au + ku + f = 0, u belongs to R, and B(u - g) = 0 on boundary (R sup 1), B*(Tu - s) = 0 on boundary (R sup 2) are considered here where u = u(x) is a function defined on a bounded region R of (E sup n), boundary R is the smooth boundary of R, x is a point in R, A is a linear factorable operator, k is a positive constant, and B and B* are operators describing mixed boundary conditions on boundary R. (Author)