Unified Analysis of Finite Volume Methods for Second Order Elliptic Problems
Unified Analysis of Finite Volume Methods for Second Order Elliptic Problems
We establish a general framework for analyzing the class of finite volume methods which employ continuous or totally discontinuous trial functions and piecewise constant test functions. Under the framework, optimal order convergence in the $H^1$ and $L^2$ norms can be obtained in a natural and systematic way for classical finite …