%0 Journal Article %1 bercovier1983finite %A Bercovier, M. %A Pironneau, O. %A Sastri, V. %D 1983 %J Applied Mathematical Modelling %K 35k20-ibvps-parabolic-second-order 35k60-nonlinear-ibvps-for-parabolic-equations 35q05-euler-poisson-darboux-equations 35q30-navier-stokes-equations 65m25-method-of-characteristics 65n30-pdes-bvps-finite-elements 76d05-incompressible-navier-stokes-equations 76r99-diffusion-and-convection method-of-characteristics %N 2 %P 89-96 %R 10.1016/0307-904X(83)90118-X %T Finite Elements and characteristics for some parabolic-hyperbolic problems %U https://www.sciencedirect.com/science/article/pii/0307904X8390118X %V 7 %X This paper deals with the numerical integration of partial differential equations of the advection-diffusion type when the advection dominates the diffusion. It is shown that finite differencing of the total derivatives yields schemes which do not require upwinding. The method is numerically tested on three problems: the advection diffusion linear problem, the Navier-Stokes equation and the Euler equations.

@article{bercovier1983finite, abstract = {This paper deals with the numerical integration of partial differential equations of the advection-diffusion type when the advection dominates the diffusion. It is shown that finite differencing of the total derivatives yields schemes which do not require upwinding. The method is numerically tested on three problems: the advection diffusion linear problem, the Navier-Stokes equation and the Euler equations.}, added-at = {2021-07-27T19:05:55.000+0200}, author = {Bercovier, M. and Pironneau, O. and Sastri, V.}, biburl = {https://www.bibsonomy.org/bibtex/24d6c36a5d7946d035e549e9551a91843/gdmcbain}, doi = {10.1016/0307-904X(83)90118-X}, interhash = {e33afb7bd9f63207e302abb989f2c23c}, intrahash = {4d6c36a5d7946d035e549e9551a91843}, issn = {0307-904X}, journal = {Applied Mathematical Modelling}, keywords = {35k20-ibvps-parabolic-second-order 35k60-nonlinear-ibvps-for-parabolic-equations 35q05-euler-poisson-darboux-equations 35q30-navier-stokes-equations 65m25-method-of-characteristics 65n30-pdes-bvps-finite-elements 76d05-incompressible-navier-stokes-equations 76r99-diffusion-and-convection method-of-characteristics}, number = 2, pages = {89-96}, timestamp = {2021-07-27T19:18:00.000+0200}, title = {Finite Elements and characteristics for some parabolic-hyperbolic problems}, url = {https://www.sciencedirect.com/science/article/pii/0307904X8390118X}, volume = 7, year = 1983 }