Abstract:
Differential operators such as gradient, curl, laplacian and divergence used in vector algebra
follow certain identities and symmetries, which often is absent in their discrete counterpart.
For example, the laplacian operator is rotationaly symmetric. The aim of the present work is
to present a general procedure to derive second order accurate discrete operators, which are
isotropic to the leading order. Furthermore, by taking advantage of isotropic nature of leading
order error in discrete operator, a recursive technique is developed to increase the order of
accuracy of the operator.
