An adaptive method is based on a posteriori error estimation.

This paper proposes a posteriori error estimation of gradient recovery-type for the Ciarlet-Raviart formulation of the first biharmonic problem.

Based on the superclose result over the uniform rectangular meshes, the superconvergence result and asymptotically exact a posteriori error estimates are derived by applying two postprocessing techniques.

Focused on a posteriori error estimates for a finite volume discretization of an elliptic problem.

A posteriori error estimate of the discontinuous_streamline diffusion method for first_order hyperbolic equations was presented, which can be used to adjust space mesh reasonably.

In this thesis, we study the problem about subconvergence and a self-adaptive posteriori error estimates of bilinear finite element.

In this paper a posteriori error estimates for Galerkin approximation of general operator equations is firstly presented in the framework of Sobolev spaces.

Using the interpolation postprocessing technique, some asymptotically exact a posteriori error estimates and global superconvergence results are derived for the finite element Ritz-Volterra projection.

On the aspect of a posteriori error estimates, by global refinement of the mesh, we get a auxiliary fine mesh and a better approximation of the true solution defined on this auxiliary mesh.

In this paper, a comprehensive survey for the state of art of a posteriori error estimates in finite element computation for magnetostatics since 1980s is presented.

In this work,we investigate the posteriori error estimates for the mixed finite element approximation of quadratic optimal control problem governed by nonlinear elliptic equation.