ADAPTIVE FINITE ELEMENT METHOD FOR LINEAR WATER WAVE PROBLEMS

An Adaptive Finite Element Method for Linear Elliptic Problems

We propose an adaptive finite element method for linear elliptic problems based on an optimal maximum norm error estimate. The algorithm produces a sequence of successively refined meshes with a final mesh on which a given error tolerance is satisfied. In each step the refinement to be made is determined by locally estimating the size of certain derivatives of the exact solution through compute...

B-Spline Finite Element Method for Solving Linear System of Second-Order Boundary Value Problems

In this paper, we solve a linear system of second-order boundary value problems by using the quadratic B-spline nite el- ement method (FEM). The performance of the method is tested on one model problem. Comparisons are made with both the analyti- cal solution and some recent results.The obtained numerical results show that the method is ecient.

Adaptive finite element heterogeneous multiscale method for homogenization problems

Article history: Received 27 August 2009 Received in revised form 29 April 2010 Accepted 8 June 2010 Available online 18 June 2010

A C0 Linear Finite Element Method for Biharmonic Problems

In this paper, a C0 linear finite element method for biharmonic equations is constructed and analyzed. In our construction, the popular post-processing gradient recovery operators are used to calculate approximately the second order partial derivatives of a C0 linear finite element function which do not exist in traditional meaning. The proposed scheme is straightforward and simple. More import...

An Adaptive Finite Element Method for Nonlinear Optimal Control Problems