Is it possible to prove convergence, error estimation of an ELliptic PDE with Dirichlet Boundary condition $0$ with discontinuous Diffusion Matrix coefficient by a Finite Volume Method ?I mean without drawing analogy with some FEM ?If so someone kindly give me a reference.
$-\nabla \cdot(K(x)\nabla P(x))=f(x) $ on $\Omega \subset R^2 $ Bounded Domain and Lip-Boundary.
$P(x)=0 $ on $\partial \Omega$
$K(x) $ is $2\times2 $ Symm , Positive Definite matrix $
Thank you.
Arwin
