Computation and Applied Mathematics

ABSTRACT Aplicada Applied Mathematics artigos Assume barycenter Botafogo bounded BREZZI Campus Ltda Cauchy-Schwarz inequality Comp Computational and Applied Corollary curl h defined denotes discrete spaces dispersive dynamo effect Dynamo theory Editora Campus Editors eigenvalues exists finite element methods grad inequality interelement boundaries interpolation error estimate J.Jr J(Xad Korteweg-de Vries equation Lagrange multipliers Lemma LNCC/CNPq lnstitute logarithmic factor magnetic field Matematica Math methods for second mixed finite element modulus of continuity NON-WELL POSED LINEAR nonempty nonlinear obtain operator optimal control optimal control problem OPTIMALITY SYSTEM order elliptic problems PALAVRAS-CHAVE paper Phu-uh positive constant Proof proved PUC/RJ rate of convergence Remark Revista right hand side Rio de Janeiro scalar field second order elliptic space superconvergence rate Theorem ue,ye unique solution vector velocity field weighted norms weighted Sobolev norms yields