ISOTROPIC FINITE DIFFERENCE DISCRETIZATION OF LAPLACIAN OPERATOR

초록

In this paper, we review and investigate isotropic finite difference discretizations of the two-dimensional (2D) and three-dimensional (3D) Laplacian operators. In particular, we propose benchmark functions to quantitatively evaluate the isotropy of the discrete Laplacian operators in 2D and 3D spaces. The benchmark functions have analytic 2D and 3D Lapla-cian solutions so that we can exactly compute the errors between the numerical and analytic solutions.

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