NUMERICAL STUDIES ON FLAT SLAB STRCTURES SUPPORTED ON NON-RECTANGULAR GRIDS

Optimum Flat Grids

This paper presents the results of the analysis of 56,000 flat grids in a form suitable for minimum weight design.

Constrained C1 Interpolation on Rectangular Grids

.This paper is concerned with the range restricted interpolation of 'data on rectangular grids. The interpolant is constrained to lie on the same side of the constraint surface as the data. Sufficient non-negativity conditions on the Bezier ordinates are derived to ensure the non-negativity of a bicubic Bezier patch. The method modifies Bezier ordinates locally to fulfill the sufficient non-neg...

Numerical Computation of Discrete Differential Operators on Non-Uniform Grids

In this paper, we explore the numerical approximation of discrete differential operators on nonuniform grids. The Voronoi cell and the notion of natural neighbors are used to approximate the Laplacian and the gradient operator on irregular grids. The underlying weight measure used in the numerical computations is the Laplace weight function, which has been previously adopted in meshless Galerki...

Numerical wave propagation on non-uniform one-dimensional staggered grids

Numerical Simulation of Free Seepage Flow on Non-matching Grids

A new domain decomposition technique on non-matching grids for free boundary problems is considered. An iterative DD scheme is used to reduce the original free boundary problem to a sequence of problems on two sub-domains, one of which includes the free boundary and is described by a variational inequality and the other includes the remainder of the problem and is described by a second order pa...