A symmetric finite volume scheme for selfadjoint elliptic problems
The authors introduce a new symmetric finite volume scheme for a general self-adjoint elliptic boundary value problem. Some relations between finite volume methods and finite difference methods are discussed. Some error estimates are provided for the \(L^2\)-norm, \(H^1\)-norm and \(L^{\infty}\)-norm. Furthermore, post-processing techniques are presented. Finally, some numerical results are performed on two academic cases.
scientific article; zbMATH DE number 1872847
scientific article