TWO TYPES OF PIECEWISE QUADRATIC SPACES AND THEIR ORDER OF ACCURACY FOR POISSON'S EQUATION**Most of the work presented in this paper was done while the author was an N.S.F. Graduate Fellow at M.I.T. under the direction of Professor Gilbert Strang (original) (raw)

The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, 1972

Abstract

Publisher Summary This chapter focuses on two types of piecewise quadratic spaces and their order of accuracy for Poisson's equation. Error estimates are described, and the results of several numerical experiments are discussed. The results for the vertex method in the chapter, which are exact only for linear polynomials provide an example of the consequence of using a quadrature scheme of insufficient accuracy in relation to the finite element space being used.

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