On Some Aspects of a Posteriori Error Estimation in the Multipoint Meshless Fdm

The higher order multipoint meshless finite difference method (MFDM) is considered in this paper. The new approach is based on arbitrary irregular meshes, the moving weighted least squares approximation and the local or various global formulations of boundary value problems. A priori and a posteriori errors constitute the important part of engineering problem analysis. The paper is focused on application of the multipoint method to a posteriori estimation of the solution and residual errors. The multipoint approach provides high precision results that may be used as a reference solution in global or local error estimators. A variety of 1D and 2D tests done confirm high quality of a posteriori error estimation based on the multipoint MFDM.