Adaptive discontinuous galerkin methods for nonlinear diffusion-convection-reaction equations

被引：0

作者：

Karasözen, Bulent ^{[1
]}

Uzunca, Murat ^{[2
]}

Manguoğlu, Murat ^{[3
]}

机构：

[1] Department of Mathematics and Institute of Applied Mathematics, Middle East Technical University, Ankara,06800, Turkey

[2] Department of Mathematics, Middle East Technical University, Ankara,06800, Turkey

[3] Department of Computer Engineering, Institute of Applied Mathematics, Middle East Technical University, Ankara,06800, Turkey

来源：

Lecture Notes in Computational Science and Engineering | 2015年 / 103卷

关键词：

Galerkin methods - Linear systems - Equations of state - Iterative methods;

D O I：

10.1007/978-3-319-10705-9_8

中图分类号：

学科分类号：

摘要：

In this work, we apply the adaptive discontinuous Galerkin method (DGAFEM) to the convection dominated nonlinear, quasi-steady state convection diffusion reaction equations. We propose an efficient algorithm to solve the sparse linear systems iteratively arising from the discretized nonlinear equations. Numerical examples demonstrate the effectiveness of the DGAFEM to damp the spurious oscillations for the convection dominated nonlinear equations. © Springer International Publishing Switzerland 2015.

引用

页码：85 / 93

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