Abstract
This work presents and analyzes, on unstruc- tured grids, a discrete duality finite volume method (DDFV method for short) for 2D-flow problems in nonhomogeneous anisotropic porous media. The derivation of a symmetric discrete problem is estab- lished. The existence and uniqueness of a solution to this discrete problem are shown via the positive definiteness of its associated matrix. Properties of this matrix combined with adequate assumptions on data al- low to define a discrete energy norm. Stability and error estimate results are proven with respect to this norm. L 2 -error estimates follow from a discrete Poincare in- equality and an L ∞ -error estimate is given for a P1-
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call