We develop the characteristic block-centered finite difference method for nonlinear convection-diffusion problems in the rectangular domain. The discrete LZnorm errors of schemes in both the approximate solution and i...We develop the characteristic block-centered finite difference method for nonlinear convection-diffusion problems in the rectangular domain. The discrete LZnorm errors of schemes in both the approximate solution and its first derivativesare second-order for all nonuniform girds.展开更多
This paper extends the unifying theory for a posteriori error analysis of the nonconformingfinite element methods to the second order elliptic eigenvalue problem.In particular,the authorproposes the a posteriori error...This paper extends the unifying theory for a posteriori error analysis of the nonconformingfinite element methods to the second order elliptic eigenvalue problem.In particular,the authorproposes the a posteriori error estimator for nonconforming methods of the eigenvalue problems andprove its reliability and efficiency based on two assumptions concerning both the weak continuity andthe weak orthogonality of the nonconforming finite element spaces,respectively.In addition,the authorexamines these two assumptions for those nonconforming methods checked in literature for the Laplace,Stokes,and the linear elasticity problems.展开更多
文摘We develop the characteristic block-centered finite difference method for nonlinear convection-diffusion problems in the rectangular domain. The discrete LZnorm errors of schemes in both the approximate solution and its first derivativesare second-order for all nonuniform girds.
文摘This paper extends the unifying theory for a posteriori error analysis of the nonconformingfinite element methods to the second order elliptic eigenvalue problem.In particular,the authorproposes the a posteriori error estimator for nonconforming methods of the eigenvalue problems andprove its reliability and efficiency based on two assumptions concerning both the weak continuity andthe weak orthogonality of the nonconforming finite element spaces,respectively.In addition,the authorexamines these two assumptions for those nonconforming methods checked in literature for the Laplace,Stokes,and the linear elasticity problems.
