Journal Title
Title of Journal: Bull Braz Math Soc New Series
|
Abbravation: Bulletin of the Brazilian Mathematical Society, New Series
|
Publisher
Springer Berlin Heidelberg
|
|
|
|
|
|
Authors: Dietmar Kröner Mirko Rokyta
Publish Date: 2016/06/22
Volume: 47, Issue: 2, Pages: 473-488
Abstract
It is still an open problem to prove a priori error estimates for finite volume schemes of higher order MUSCL type including limiters on unstructured meshes which show some improvement compared to first order schemes In this paper we use these higher order schemes for the discretization of convection dominated elliptic problems in a convex bounded domain Ω in R2 and we can prove such kind of an a priori error estimate In the part of the estimate which refers to the discretization of the convective term we gain h 1/2 Although the original problem is linear the numerical problem becomes nonlinear due to MUSCL type reconstruction/limiter technique
Keywords:
.
|
Other Papers In This Journal:
|