An upwind finite element scheme for the unsteady convective diffusive transport equation
نویسندگان
چکیده
منابع مشابه
A Variational Finite Element Method for Source Inversion for Convective-Diffusive Transport
We consider the inverse problem of determining an arbitrary source in a time-dependent convective-diffusive transport equation, given a velocity field and pointwise measurements of the concentration. Applications that give rise to such problems include determination of groundwater or airborne pollutant sources from measurements of concentrations, and identification of sources of chemical or bio...
متن کاملRevisiting stabilized finite element methods for the advective–diffusive equation
We give a brief overview of stabilized finite element methods and illustrate the developments applied to the advection–diffusion equation. This article presents a concise perspective of the developments emanated from the works started in the 1980s through today. 2005 Elsevier B.V. All rights reserved.
متن کاملFinite Element Methods for Convection Diffusion Equation
This paper deals with the finite element solution of the convection diffusion equation in one and two dimensions. Two main techniques are adopted and compared. The first one includes Petrov-Galerkin based on Lagrangian tensor product elements in conjunction with streamlined upwinding. The second approach represents Bubnov/Petrov-Galerkin schemes based on a new group of exponential elements. It ...
متن کاملAsymptotic Analysis of Upwind Discontinuous Galerkin Approximation of the Radiative Transport Equation in the Diffusive Limit
We revisit some results from M. L. Adams [Nucl. Sci. Engrg., 137 (2001), pp. 298– 333]. Using functional analytic tools we prove that a necessary and sufficient condition for the standard upwind discontinuous Galerkin approximation to converge to the correct limit solution in the diffusive regime is that the approximation space contains a linear space of continuous functions, and the restrictio...
متن کاملThe Upwind Finite Volume Element Method for Two-Dimensional Burgers Equation
and Applied Analysis 3 where P l (V) (l = 0, 1) denotes the set of polynomials on V with a degree of not more than l. Multiplying (6a) by test function z ∈ V h and integrating by parts yield ( ∂θ ∂t , z) + B 1 (θ; θ, z) + B 2 (θ; θ, z) + A (θ, z) = 0, ∀z ∈ V h , (9)
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: Applied Mathematical Modelling
سال: 1979
ISSN: 0307-904X
DOI: 10.1016/s0307-904x(79)80059-1