Stable Crank-Nicolson Discretisation for Incompressible Miscible Displacement Problems of Low Regularity

被引：4

作者：

Jensen, Max ^{[1
]}

Mueller, Ruediger ^{[2
]}

机构：

[1] Univ Durham, Math Sci, Durham, England

[2] WIAS, Berlin, Germany

来源：

NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS 2009 | 2010年

关键词：

D O I：

10.1007/978-3-642-11795-4_50

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we study the numerical approximation of incompressible miscible displacement problems with a linearised Crank-Nicolson time discretisation, combined with a mixed finite element and discontinuous Galerkin method. At the heart of the analysis is the proof of convergence under low regularity requirements. Numerical experiments demonstrate that the proposed method exhibits second-order convergence for smooth and robustness for rough problems.

引用

页码：469 / 477

页数：9