Derivation, stability, and error analysis in both discrete H 1 - and L 2-norms for cell-centered finite volume approximations of convection-diffusion problems are ...

Mathematics of Computation, Vol. 88, No. 320 (NOVEMBER 2019), pp. 2665-2696 (32 pages) The conditioning of the linear finite volume element discretization for general diffusion equations is studied on ...

Mathematical approaches for numerically solving partial differential equations. The focus will be (a) iterative solution methods for linear and non-linear equations, (b) spatial discretization and ...