INTRODUCTION During 1970, the amount of ground water pumped in the southern and southeastern sections The economic development of any area is tied of Florida (which includes Broward, Dade and to its natural resource base. Water, one of the most Palm Beach counties) for municipal water use was important of these natural resources, is used for a 121 billion gallons. multitude of purposes includin...

The non-overlapping Domain Decomposition (DD) method is a powerful tool for the coupling of Finite Element (FE) and Boundary Element (BE) methods. Moreover it provides a natural basis for constructing eecient parallel solvers. However, both, the eeciency and the robustness of DD{solvers depends heavily on the underlying decomposition of the domain of interest into subdomains. In this paper, we ...

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...

We present a volumetric iso-geometric finite element analysis based on Catmull-Clark solids. This concept allows one to use the same representation for the modeling, the physical simulation, and the visualization, which optimizes the design process and narrows the gap between CAD and CAE. In our method the boundary of the solid model is a Catmull-Clark surface with optional corners and creases ...

In this paper we present a new approach to generate a mixed mesh with elements aligned to boundary/interfaces wherever is required. A valid element is: (a) any convex co-spherical element that fulfills the requirements of the underlying numerical method and (b) any element that satisfies domain specific geometric features of the model. The algorithm is based on the normal offsetting approach to...

In this paper we will describe a numerical method for the solution of curve ow problems in which the normal velocity of the curve depends locally on the position, normal and curvature of the curve. The method involves approximating the curve by a number of line elements (segments) which are only allowed to move in a direction normal to the element. Hence the normal of each line element remains ...