[PDF] Top 20 An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem

... displacement problem which is assumed to be -periodic, ...characteristic finite difference method and FEM to solve the convection-dominated diffusion problems and to overcome ... See full document

... streamline upwind/Petrov Galerkin (SUPG) finite element method is studied for distributed optimal control problems governed by unsteady diffusion-convection- reaction equations ... See full document

... a method that satisfies the discrete analogue of the last ...a method has been a constant for the last couple of ...the finite element and finite volume contexts (see [21] for a ... See full document

... uses volume, temperature, and moles as specification ...the problem numerically using a combination of the mixed-hybrid finite element method for the total flux discretization and the ... See full document

... covolume-upwind finite volume method applied to parabolic partial differential ...this method with the central and the upwind schemes, showing that the non-physical oscillations ... See full document

... Typically, these Equations (1) express the general mathematical model incor- porating different types of transport phenomena in engineering and applied sciences, such as the dispersal of a pollutant through a moving ... See full document

... Despite the attractiveness of algebraic flux correction schemes, there seems to be no rigorous numerical analysis for this class of methods. The main reason lies probably in their construction, which does not allow to ... See full document

... The convergence of the “outer” iteration {u ( k ) } to u* of the Lagged Diffusivity proce- dure involves solution for an unknown vector u of the matrix equation (17). This lin- ear system may be solved by an operator ... See full document

... i.e., Problem II. Thus, we can bypass the semi-discretized SFVE method about the spatial variables such that our theoretical analysis becomes simpler and more convenient than that in ... See full document

... the convection term of the nonlinear problem is not dominant, the discontinuous finite volume element method can be considered to deal with such ... See full document

... linear convection-diffusion ...DG method for nonlinear conserva- tion laws is obtained in [], when the upwind fluxes are used, under the condition that the absolute value of the ... See full document

... shock-capturing method proposed in [11], and the SUPG method (the last one as an example of the reference linear method for the convection-diffusion ...with method (2.39) are of ... See full document

... the convection term dominates over diffusion and the standard Galerkin finite element method produce an oscillating solution which is not close to exact ...the finite ... See full document

... Galerkin Method have proved to be efficient, however, it is noted that the calculation of derivatives the u at each time step should be ...using finite element ... See full document

... reaction diffusion model of Brusselator ...any nonlinear wave propagation problem subject to dissipation ...the problem being modeled, this dissipation may result from viscosity, heat ... See full document

... four-step finite element method for analyzing conjugate heat transfer between solid and unsteady viscous flow is ...resulting nonlinear equations are linearized without losing the overall time ... See full document

... (ADI) method was proposed by Peaceman, Rachford and Douglas [6] [7] [8] in 1950’s for multidimensional differential equations of integer order, which could reduce original multidimensional problem into a ... See full document

... of convection dominated problems, there is still the open question of finding a method that ’ticks all the ...a method that provides stable results while not smearing the sharp layers appearing in ... See full document

... of convection-diffusion equation yields inaccurate, oscillatory solutions near boundary layers in convection dominated flows and, if the diffusion parameter 𝜖 is decreased without proportional ... See full document

... the problem is smooth enough ...Dirichlet problem, so-called Dirichlet-type estimators, were introduced in ...Neumann problem, so- called Neumann-type estimators, were first given in ... See full document