A quadratic triangle of the Hermite type for second order elliptic problems

A triangular finite element method of the Hermite type for solving second order elliptic equations in two-dimensional bounded domains is introduced. It can be viewed as a modification of the Morley triangle [8], but contrary to this element it provides converging approximations for this class of problems. The new element is particularly useful in situations where flux or normal stress continuity across interelement boundaries is required.