We present a numerical method for the computat ion of discrete solutions of the Plateau Problem. This problem consists of the investigation of minimal surfaces bounded by a prescribed Jordan curve in space. The numerical method allows to compute unstable minimal surfaces with prescribed boundary . It is based on a Boundary Element Method for which asymptotic convergence was proved and which use...

The forward problem in Electrical Impedance Tomography (EIT) requires an accurate estimation of its solution. Although analytical solutions exist for a limited number of cases, there is no suitable analytical solution for the geometry of the human head. A commonly adopted method is the use of Finite Element Methods (FEM). However, the human head consists of layers, which include the scalp and C...

The piezoelectric boundary integral equation (BIE) formulation is applied to analyze thin piezoelectric solids, such as thin piezoelectric films and coatings, using the boundary element method (BEM). The nearly singular integrals existing in the piezoelectric BIE as applied to thin piezoelectric solids are addressed for the 2-D case. An efficient analytical method to deal with the nearly singul...

This paper reviews recent developments in the application of the boundary element method (BEM) to muffler and silencer analysis. Initial results of modeling built-in catalyst converters are also presented. A so-called “direct mixed-body boundary element method” has been developed for muffler and silencer analysis since 1996. The idea of the method is to integrate all kinds of different boundary...

This paper is concerned with the two new boundary-type radial basis function collocation schemes, boundary knot method (BKM) and boundary particle method (BPM). The BKM is developed based on the dual reciprocity theorem, while the BKM employs the multiple reciprocity technique. Unlike the method of fundamental solution, the two methods use the non-singular general solution instead of singular f...

The alternating iterative algorithm proposed by Kozlov et al. [An iterative method for solving the Cauchy problem for elliptic equations. USSR Comput Math Math Phys 1991;31:45–52] for obtaining approximate solutions to the Cauchy problem in twodimensional anisotropic elasticity is analysed and numerically implemented using the boundary element method (BEM). The illposedness of this inverse boun...

The forward problem in electroencephalography aims to simulate on the scalp the potential V of an electromagnetic field generated by a simulated source. It must fit precisely with the electromagnetic propagation in the patient head. Yet, the skull anisotropy happens to be highly anisotropic, and must then be modeled. Although boundary element methods cannot deal with anisotropy like finite elem...

In this paper, we describe a new hybrid method which combines the boundary element method (BEM) and the nite element method (FEM) to calculate the circuit models for layout dependent capacitances in VLSI circuits. The hybrid method which we present does more than solving a particular eld problem, it produces a good physical circuit model for the interface between the regions where the BEM and t...

This is a final report for the DIMACS grant of student-initiated project. I implemented Boundary Element Method(BEM) using Java. The system is tested with Rutgers Master II haptic glove. This report covers related background research, implementation of BEM and experiment results.

The boundary element formulation for analysing interaction between a hole and multiple cracks in piezoelectric materials is presented. Using Green’s function for hole problems and variational principle, a boundary element model (BEM) for a 2-D thermopiezoelectric solid with cracks and holes has been developed and used to calculate stress intensity factors of the crack-hole problem. In BEM, the ...