Abstract
In previous works, we have established discrete versions of the Aleksandrov -Bakelman maximum principle for elliptic operators, on general meshes in Euclidean space. In this paper, we prove a variant of these estimates in terms of a discrete analogue of the determinant of the coefficient matrix in the differential operator case. Our treatment depends on an interesting connection between the determinant and volumes of cells in the underlying mesh.
Original language | English |
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Pages (from-to) | 55-64 |
Number of pages | 10 |
Journal | Taiwanese Journal of Mathematics |
Volume | 4 |
Issue number | 1 |
DOIs | |
Publication status | Published - Mar 2000 |