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An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem
Nonlinear Convection-Diffusion Tetrahedron Partition Error Estimates
2013/1/30
A class of upwind finite volume element method based on tetrahedron partition is put forward for a nonlinear convection diffusion problem. Some techniques, such as calculus of variations, commutating ...
Characteristic Analysis of Exponential Compact Higher Order Schemes for Convection-Diffusion Equations
Exponential Scheme, Compact Higher Order Scheme, Characteristics, Resolving Efficiency, Finite Difference
2013/1/30
This paper looks at the development of a class of Exponential Compact Higher Order (ECHO) schemes and attempts to comprehend their behaviour by introducing different combinations of discrete source fu...
A Posteriori Error Estimates for Nonconforming Approximations of Evolutionary Convection-Diffusion Problems
a posteriori error estimates time-nonconforming approximations convection-diffusion
2011/2/25
We derive computable upper bounds for the difference between an exact solution of the evolutionary convection-diffusion problem and an approximation of this solution.
A finite volume scheme for convection-diffusion equations with nonlinear diffusion derived from the Scharfetter-Gummel scheme
convection-diffusion equations nonlinear diffusion derived Scharfetter-Gummel scheme
2010/11/15
We propose a finite volume scheme for convection-diffusion equations with nonlinear diffusion. Such equations arise in numerous physical contexts. We will particularly focus on the drift-diffusion sy...
A posteriori error estimator based on gradient recovery by averaging for convection-diffusion-reaction problems approximated by discontinuous Galerkin methods
averaging convection-diffusion-reaction problems discontinuous Galerkin methods
2010/11/9
We consider some (anisotropic and piecewise constant) convection-diffusion-reaction problems in domains of R2, approximated by a discontinuous Galerkin method with polynomials of any degree. We propos...
Alternating group iterative method for convection-diffusion equations
iterative method parallel computing alternating group
2010/9/13
In this paper, a symmetry implicit scheme for solving convectiondiffusion equations is presented with a kind of exponential type transformation. Based on the scheme a class of alternating group explic...
Testing of New High-Order Finite Difference Methods for Solving the Convection-Diffusion Equation
Convection-Diffusion Equation solving
2008/10/29
Numerical simulation has become a common means of predicting performance of oil and gas reservoirs in the petroleum industry. It is also a time-consuming task due to the large dimension of the simulat...
This paper presents a class of high resolution local time step
schemes for nonlinear hyperbolic conservation laws and the closely
related convection--diffusion equations, by projecting the
solution...
Modified High-order Upwing Method for Convection Diffusion Equation
convection diffusion high-order upwind method
2007/12/10
In this paper, we study the high-order upwind finite difference method for steady convection-diffusion problems. Based on the conservative convection-diffusion equation, a high-order upwind finite dif...
A coupled system of singularly perturbed convection-diffusionequations is considered. The leading term of each equation ismultiplied by a small positive parameter, but these parameters mayhave differe...
A Decomposition Method for Solving Unsteady Convection-Diffusion Problems
Convection-diffusion equation Decomposition method Noise terms
2010/2/25
In this study, a decomposition method for approximating the solutions of unsteady convection-diffusion problems is implemented. The approximate solution is calculated in the form of a convergent serie...
Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems with complicated geometry
boundary knot method radial basis function non-singular general solution method of fundamental solutions dual reciprocity method boundary element
2010/10/22
The boundary knot method (BKM) of very recent origin is an inherently meshless, integration-free, boundary-type, radial basis function collocation technique for the numerical discretization of general...
Numerical convergence of boundary knot method in the analysis of Helmholtz, modified Helmholtz, and convection-diffusion problems
boundary knot method radial basis function method of fundamental solution meshfree boundary elements
2010/10/22
This paper concerns a numerical study of convergence properties of the boundary knot method (BKM) applied to the solution of 2D and 3D homogeneous Helmholtz, modified Helmholtz, and convection-diffusi...
High-order fundamental and general solutions of convection-diffusion equation and their applications with boundary particle method
High-order fundamental solution High-order general solution Boundary particle method Radial basis function Meshfree Multiple reciprocity-BEM
2010/10/22
In this study, we presented the high-order fundamental solutions and general solutions of convection–diffusion equation. To demonstrate their efficacy, we applied the high-order general solutions to t...
A Lyapunov formulation for efficient solution of the Poisson and convection-diffusion equations by the differential quadrature method
differential quadrature method Poisson equation Lyapunov algebraic matrix equation numerical method
2010/10/22
A Lyapunov formulation for efficient solution of the Poisson and convection-diffusion equations by the differential quadrature method.