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Abstract of
A new method of construction of adjoint gradients and divergences on logically rectangular smooth grids
by Nicolas Robidoux

A new framework for the construction of formally adjoint numerical gradients and divergences is presented. Second order gradients and divergences which compose into laplacians second order near the boundary and of arbitrarily high order far enough from it at least on smooth tensor grids, are suitable for smooth locally logically rectangular grids (on which they have not been conclusively tested) and Dirichlet, Neumann, Robin or periodic boundary conditions, are introduced. Uniform tensor grid stencils are presented.

Keywords:

conservative numerical schemes, adjoint discrete gradients and divergences, self-adjoint discrete laplacians, Hodge star operator.

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Complaints to nrobidou@netscape.net (Nicolas Robidoux)

December 19, 2000.