An adaptive mesh strategy for singularly perturbed convection diffusion problems
نویسندگان
چکیده
منابع مشابه
Multiscale Convection in One Dimensional Singularly Perturbed Convection-Diffusion Problems
Linear singularly perturbed ordinary differential equations of convection diffusion type are considered. The convective coefficient varies in scale across the domain which results in interior layers appearing in areas where the convective coefficient decreases from a scale of order one to the scale of the diffusion coefficient. Appropriate parameter-uniform numerical methods are constructed. Nu...
متن کاملNitsche-mortaring for singularly perturbed convection-diffusion problems
A finite element method for a singularly perturbed convection-diffusion problem with exponential boundary layers is analysed. Using a mortaring technique we combine an anisotropic triangulation of the layer region (into rectangles) with a shape regular one of the remainder of the domain. This results in a possibly non-matching (and hybrid), but layer adapted mesh of Shishkin type. We study the ...
متن کاملSchwartz Methods for Singularly Perturbed Convection-Diffusion Problems
In this paper we consider singularly perturbed ordinary differential equations with convection terms. An ε-uniformly convergent finite difference scheme is constructed for such boundary value problems by using an upwind finite difference operator and a piecewise uniform mesh. Our primary interest is the design of a numerical method, for which a parallel technique will later be applicable. In th...
متن کاملMesh Refinement Strategies for Solving Singularly Perturbed Reaction-Diffusion Problems
we consider the numerical approximation of a singularly perturbed reaction-diffusion problem over a square. Two different. approaches are compared namely: adaptive isotropic mesh refinement and anisotropic mesh refinement. Thus, we compare the h-refinement and the Shishkin mesh approaches numerically with PLTMG software [l]. It is shown how isotropic elements lead to over-refinement. and how an...
متن کاملA Class of Singularly Perturbed Convection-diffusion Problems with a Moving Interior Layer. an a Posteriori Adaptive Mesh Technique
We study numerical approximations for a class of singularly perturbed convection-diffusion type problems with a moving interior layer. In a domain (segment) with a moving interface between two subdomains, we consider an initial boundary value problem for a singularly perturbed parabolic convection-diffusion equation. Convection fluxes on the subdomains are directed towards the interface. The so...
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: 2015
ISSN: 0307-904X
DOI: 10.1016/j.apm.2014.10.019