Convergence analysis for an exponentially fitted Finite Volume Method
نویسندگان
چکیده
منابع مشابه
Convergence analysis for an exponentially fitted finite volume method
The paper is devoted to the convergence analysis of a well-known cell-centered Finite Volume Method (FVM) for a convection-difïusion problem in R. This FVM is based on Voronoi boxes and exponential fitting. To prove the convergence of the FVM, we use a new nonconforming PetrovGalerkin Finite Element Method (FEM) for which the System of linear équations coïncides completely with that of the FVM....
متن کاملAn Exponentially Fitted Method for Singularly Perturbed Delay Differential Equations
This paper deals with singularly perturbed initial value problem for linear first-order delay differential equation. An exponentially fitted difference scheme is constructed in an equidistant mesh, which gives first-order uniform convergence in the discrete maximum norm. The difference scheme is shown to be uniformly convergent to the continuous solution with respect to the perturbation paramet...
متن کاملOn Convergence of the Exponentially Fitted Finite Volume Method with an Anisotropic Mesh Refinement for a Singularly Perturbed Convection-Diffusion Equation
This paper presents a convergence analysis for the exponentially fitted finite volume method in 2 dimensions applied to a linear singularly perturbed convection-diffusion equation with exponential boundary layers. The method is formulated as a non-conforming Petrov-Galerkin finite element element method with an exponentially fitted trial space and a piecewise constant test space. The correspond...
متن کاملOn ε-uniform convergence of exponentially fitted methods
Abstract. A class of methods constructed to numerically approximate the solution of two-point singularly perturbed boundary value problems of the form εu + bu + cu = f use exponentials to mimic exponential behavior of the solution in the boundary layer(s). We refer to them as exponentially fitted methods. Such methods are usually exact on polynomials of certain degree and some exponential funct...
متن کاملA Block Solver for the Exponentially Fitted IIPG-0 Method
We consider an exponentially fitted discontinuous Galerkin method for advection dominated problems and propose a block solver for the resulting linear systems. In the case of strong advection the solver is robust with respect to the advection direction and the number of unknowns.
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: 2000
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an:2000122