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For results on maximum norm error analysis of overlapping nonmatching grids methods for elliptic problems we refer, for example, to [9 14].
Quite a few works on maximum norm error analysis of overlapping nonmatching grids methods for elliptic problems are known in the literature (cf., e.g., [11 14]).
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Input elevation data distributed about the centre of the gridded DEM cells were processed in gridding methods type II.
They are designed to exploit low effective dimensions and include sparse grid methods as special case.
We focus on eliminating unphysical oscillations occurring in Cartesian grid methods extended to moving-boundary problems.
The Newton and multi-grid methods do not converge when some parameters are small.
There are other algorithms such as tessellation and Voronoi grid methods which can be attributed to this class.
Cartesian grid methods for inviscid computational fluid dynamics offer great promise for the development of very rapid conceptual design tools.
Several approaches were developed to solve this moving boundary problem, fixed grid methods being the most widespread ones.
Methods and codes that operate this way belong to the realm of adaptive or moving-grid methods.
The present schemes are restricted to equally-spaced Cartesian grids, so the generalized curvilinear transformation method and Cartesian grid methods are good candidates.
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