Error estimates of element-free Galerkin method for potential problems;

Complex variables element-free Galerkin method for potential problems

Local boundary integral equation method based on radial basis functions for potential problems;

In this paper,combining the reproducing kernel particle method and boundary integral equations for two-dimensional potential problems,the reproducing kernel particle boundary element-free(RKP-BEF) method for two-dimensional potential problems is presented.

Meshless regularized local boundary integral equation method to 2D potential problems;

By applying fast multipole expansion,the boundary integral equation about 3D potential problem is made discrete.

A general algorithm is applied to the regularization of nearly singular integrals in the boundary element method of planar potential problems.

An kind of non-singular boundary integral method for plane potential problems;

Analytical algorithm of the nearly singular integrals in boundary element method to anisotropic potential problems;

A set of new direct and analytical integral formulas are deduced with integration by parts to evaluate the nearly singular integrals in the BEM of 2D orthotropic potential problems, where the nearly singular integrals are computed exactly over the linear elements, computed approximately over the quadratic element subdivided into several linear elements.

A reciprocal theorem of dynamics for potential flow problems is first derived by means of the Laplace transform in which the compressibility of water is taken into account.

This paper gives a way to solve the two\|dimensional inverse potential problem of elliptic partial differential equations for small perturbation with the help of Radon transform.