An alternative formulation of the boundary element method

A General Boundary Element Formulation for The Analysis of Viscoelastic Problems

The analysis of viscoelastic materials is one of the most important subjects in engineering structures. Several works have been so far made for the integral equation methods to viscoelastic problems. From the basic assumptions of viscoelastic constitutive equations and weighted residual techniques, a simple but effective Boundary Element (BE) formulation is developed for the Kelvin viscoelastic...

Boundary Element Formulation of Harmonic Coordinates

We explain how Boundary Element Methods (BEM) can be used to speed up the computation and reduce the storage associated with Harmonic Coordinates. In addition, BEM formulation allows extending the harmonic coordinates to the exterior and makes possible to compare the transfinite harmonic coordinates with transfinite Shepard interpolation and Mean Value Coordinates. This comparison reveals that ...

Evaluation of Fracture Parameters by Coupling the Edge-Based Smoothed Finite Element Method and the Scaled Boundary Finite Element Method

This paper presents a technique to evaluate the fracture parameters by combining the edge based smoothed finite element method (ESFEM) and the scaled boundary finite element method (SBFEM). A semi-analytical solution is sought in the region close to the vicinity of the crack tip using the SBFEM, whilst, the ESFEM is used for the rest of the domain. As both methods satisfy the partition of unity...

A Fast Direct Solver for the Boundary Element Method with Pmchwt Formulation

Boundary element method (BEM) is one of the numerical methods to solve boundary value problems of partial differential equations. The BEM is especially useful for wave scattering problems for unbounded domains since the numerical solution obtained by BEM automatically satisfies radiation condition, and also, discretisations only of the boundaries are required and those of the domain extending i...

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