Proportional Boundary Finite-element Method Applied to Two-dimensional Elastostatic Problem

Analysis of High-order Approximations by Spectral Interpolation Applied to One- and Two-dimensional Finite Element Method

The implementation of high-order (spectral) approximations associated with FEM is an approach to overcome the difficulties encountered in the numerical analysis of complex problems. This paper proposes the use of the spectral finite element method, originally developed for computational fluid dynamics problems, to achieve improved solutions for these types of problems. Here, the interpolation n...

A new fast multipole boundary element method for solving large-scale two-dimensional elastostatic problems

A new fast multipole boundary element method (BEM) is presented in this paper for large-scale analysis of two-dimensional (2-D) elastostatic problems based on the direct boundary integral equation (BIE) formulation. In this new formulation, the fundamental solution for 2-D elasticity is written in a complex form using the two complex potential functions in 2-D elasticity. In this way, the multi...

Coupling of Natural Boundary Element Method and Finite Element Method for Three-dimensional Nonlinear Interface Problem

Coupling of Natural Boundary Element Method and Finite Element Method for Three-dimensional Nonlinear Interface Problem Hong-ying Huang2,1 and De-hao Yu 2 Summary In this paper, we apply the coupling of natural boundary element method and finite element method to solve a three-dimensional nonlinear interface problem. Two equations are coupled by interface conditions on the interface boundary. A...

Application of the Boundary Element Method to two Dimensional Dynamic Problems of Saturated Porous Media

Application of the Boundary Element Method to two Dimensional Dynamic Problems of Saturated Porous Media