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Title:

Mimetic Finite Difference Methods for Elliptic Equations on Unstructured Triangular Grid

Document type:
Technical Report
Author(s):
Victor Ganzha; Richard Liska; Mikhail Shashkov; Christoph Zenger
Abstract:
A finite difference algorithm for solution of generalized Laplace equation on unstructured triangular grid is constructed by a support operator method. The support operator method first constructs discrete divergence operator from the divergence theorem and then constructs discrete gradient operator as the adjoint operator of the divergence. The adjointness of the operators is based on the continuum Green formulas which remain valid also for discrete operators. Developed method is exact for line...     »
Keywords:
Mimetic Finite Difference; Laplace Equation; Unstructured Triangular Grid
Year:
2001
Year / month:
2001-12-01 00:00:00
Pages:
25
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