A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data
Jérôme Droniou, Thierry Gallouët, Raphaèle Herbin · SIAM Journal on Numerical Analysis · 2003
We show here the convergence of the finite volume approximate solutions of a convection-diffusion equation to a weak solution, without the usual coercitivity assumption on the elliptic operator and with weak regularity assumptions on the data. Numerical experiments are performed to obtain some rates of convergence in two and three space dimensions.