论文信息 - Global estimates for mixed methods for second order elliptic equations

Global estimates for mixed methods for second order elliptic equations

Global error estimates in L2(92), L?(9), and H-s(Q), 2 in R2 or a, re derived for a mixed finite element method for the Dirichlet problem for the elliptic operator Lp = div(a grad p + bp) + cp based on the Raviart-Thomas-Nedelec space Vh x Wh c H(div; 92) x L2(g2). Optimal order estimates are obtained for the approximation of p and the associated velocity field u = -(a grad p + bp) in L2(g2) and H-s(92), 0 6 s < k + 1, and, if Q c R2, forp in LV2()..

Jean E. Roberts | J. Douglas | J. Roberts

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