[PDF] Top 20 Adaptive Finite Element Method for Steady Convection Diffusion Equation

... in regions where there are layers. One common technique to increase the accuracy of the finite element solution in these critical regions is through local grid refinement, the so-called h-method. The ... See full document

... LPS method based on these ideas. We show that the method satisfies a discrete maximum principle under suitable assumptions on the mesh (depending on the diffusion operator), that the nonlinear ... See full document

... characteristic method all gave one order accuracy in time increment ∆ t ...characteristic method in time was analyzed. As for higher order characteristic method in time, Rui and Tabata [22] used the ... See full document

... shifting method, the calculation begins by processing the data on the mesh in ...same steady convection-diffusion equation ...the diffusion and convection ... See full document

... 9. B. Riviere, M.F. Wheeler: A discontinuous Galerkin method applied to nonlinear parabolic equations. In: Discontinuous Galerkin methods. Theory, Computation and Applications. Lect. Notes in Comput. Sci. Eng. 11 ... See full document

... The convection-dominated diffusion problems have been treated heavily using finite element methods ...Mixed finite element method has been proposed by Douglas et ...the ... See full document

... The Finite Integration Method (FIM) is an integral based technique, and was first introduced by Weiland in 1977 ...integral equation that gives much higher accurate approximations than the ... See full document

... Carlo method and to the sparse grid size in the collocation ...the steady-state flow problem by a mixed finite element method in the physical space to get the velocity ...transport ... See full document

... Fractional convection-diffusion equations are generalizations of classical convection-diffusion equations, which have come to be applied in Physics [1]-[4], hydrology [5] [6] and many other ... See full document

... fractional diffusion equations, which are first order accuracy in both time and space and have the advantage of low computational work and low mem- ory ...fractional diffusion equations [26] [27] and ... See full document

... finite element methods. We consider convection– diffusion–reaction equations on simplicial meshes in two or three space dimensions and pay a partic- ular attention to inhomogeneous and anisotropic ... See full document

... the method of ...anisotropic diffusion processes whose both applicability and accuracies have been investigated by [4] and [5] respectively; for the latter case, [6] proposed a finite-difference LB ... See full document

... of convection-dominated convection-diffusion-reaction equations with finite element methods constitutes a very challenging (and open) ...dominating convection, at least in the ... See full document

... the convection-diffusion-reaction equation using a mixed, first-order formulation, but us- ing standard Lagrangian elements in both ...only method that has been proposed with this purpose is ... See full document

... the steady-state equation [2, 3, 8, 9, 13] as well as for the time-dependent equation [6, 11, ...upwind finite difference scheme [22], a finite volume scheme on Delaunay meshes [7], and ... See full document

... of convection – dominated problem, the standard Galerkin approximation of ...artificial diffusion along streamlines. The Streamline – Diffusion Finite Element Method (SDFEM) [18] ... See full document

... The finite volume element method (FVEM) is a dis- crete technique for partial differential equations, espe- cially for those arising from physical conservation laws, including mass, momentum and ... See full document

... group finite element formulation is a strategy aimed at speeding the assembly of finite element matrices for time-dependent ...the method. In this paper we prove results for a group ... See full document

... a finite number of coefficients of a series expansion of the Laplace transform, thereby providing an approximation to the exact boundary ...drift-diffusion equation but, in contrast to the ... See full document

... This is a repository copy of Parallel application of a novel domain decomposition preconditioner for the adaptive finite-element solution of three-dimensional convection-dominated PDEs..[r] ... See full document