Uniform in $\varepsilon $ discretization error estimates for convection dominated convection-diffusion problems
نویسندگان
چکیده
منابع مشابه
Error estimates for the convergence of a finite volume discretization of convection-diffusion equations
We study error estimates for a finite volume discretization of an elliptic equation. We prove that, for s ∈ [0,1], if the exact solution belongs to H1+s and the right-hand side is f + div(G) with f ∈ L2 and G ∈ (Hs)N , then the solution of the finite volume scheme converges in discrete H1norm to the exact solution, with a rate of convergence of order hs (where h is the size of the mesh).
متن کاملOn the a posteriori error analysis for linear Fokker-Planck models in convection-dominated diffusion problems
This work is aimed at the derivation of reliable and efficient a posteriori error estimates for convectiondominated diffusion problems motivated by a linear Fokker-Planck problem appearing in computational neuroscience. We obtain computable error bounds of functional type for the static and time-dependent case and for different boundary conditions (mixed and pure Neumann boundary conditions). F...
متن کاملEquidistribution grids for two-parameter convection–diffusion boundary-value problems
In this article, we propose an adaptive grid based on mesh equidistribution principle for two-parameter convection-diffusion boundary value problems with continuous and discontinuous data. A numerical algorithm based on an upwind finite difference operator and an appropriate adaptive grid is constructed. Truncation errors are derived for both continuous and discontinuous problems. Parameter uni...
متن کاملA Nonlinear Subgrid–Scale Model for Convection Dominated, Convection Diffusion Problems
We present a nonlinear subgrid–scale method for the stabilization of the Galerkin approximation to convection dominated, convection diffusion problems, establish existence and uniqueness results, and provide an a priori error estimate for the method. ∗email: [email protected], Department of Mathematical Sciences, Clemson University, Clemson S.C. 29634 †email: [email protected], Department of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 1988
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an/1988220304771