Uniformly Convergent High-Order Schemes for a 2D Elliptic Reaction-Diffusion Problem with Anisotropic Coefficients

机译：各向异性系数的二维椭圆反应扩散问题的一致收敛高阶格式

获取原文

获取原文并翻译 | 示例

页面导航

摘要
著录项
相似文献
相关主题

摘要

Two dimensional elliptic reaction - diffusion problem with highly anisotropic coefficients is considered. The second order derivative with respect to one of the independent variables is multiplied by a small parameter e. In this work, we construct and study finite difference schemes, defined on a priori Shishkin meshes, uniformly convergent with respect to the small parameter e, which have order three except for a logarithmic factor. Numerical experiments confirming the theoretical results are given.

机译：考虑二维椭圆反应-具有高各向异性系数的扩散问题。关于一个自变量的二阶导数乘以一个小参数e。在这项工作中，我们构建和研究在先验Shishkin网格上定义的有限差分方案，该方案相对于小参数e均匀收敛，除对数因子外，该参数具有三阶。数值实验证实了理论结果。

著录项

来源
《5th International Conference on Numerical Methods and Applications NMA 2002, Aug 20-24, 2002, Borovets, Bulgaria》|2002年|p.395-402|共8页
会议地点 Borovets(BG);Borovets(BG)
作者
Iliya Brayanov; Ivanka Dimitrova;
展开▼
作者单位

Department of Mathematics, University of Rousse 7017 Rousse, Bulgaria;

展开▼
会议组织
原文格式 PDF
正文语种 eng
中图分类力学;
关键词

相似文献

外文文献
中文文献
专利

1. Uniformly convergent additive schemes for 2d singularly perturbed parabolic systems of reaction-diffusion type [J] . Clavero C., Gracia J. L. Numerical algorithms . 2019,第4期

机译：用于2D的反应扩散型抛物面系统的均匀收敛添加剂方案
2. Uniformly convergent finite volume difference scheme for 2D convection-dominated problem with discontinuous coefficients [J] . Brayanov IA Applied mathematics and computation . 2005,第2期

机译：具有不连续系数的二维对流占优问题的一致收敛有限体积差分格式
3. Corrigendum to 'Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems I: Reaction-diffusion type' [Comput. Math. Appl. 35 (3) (1998) 57-70] [J] . Jichun Li Computers & mathematics with applications . 2010,第10期

机译：“奇异摄动椭圆边值问题的一致收敛有限元方法I：反应扩散型”的更正。数学。应用35（3）（1998）57-70]
4. Uniformly Convergent High-Order Schemes for a 2D Elliptic Reaction-Diffusion Problem with Anisotropic Coefficients [C] . Iliya Brayanov, Ivanka Dimitrova International Conference on Numerical Methods and Applications . 2003

机译：具有各向异性系数的2D椭圆反应扩散问题的均匀收敛高阶方案
5. Techniques for computing high-order virial coefficients using mixed-precision approach for hybrid architectures. [D] . Feng, Chao. 2017

机译：用于混合体系结构的使用混合精度方法计算高阶病毒系数的技术。
6. Determination of Coefficients of High-Order Schemes for Riemann-Liouville Derivative [O] . Rifang Wu, Hengfei Ding, Changpin Li -1

机译：Riemann-Liouville导数的高阶方案系数的确定
7. Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems I: Reaction-diffusion Type [O] . Li J., Navon I.M. 1998

机译：奇摄动椭圆边值问题的一致收敛有限元方法I：反应扩散型

Uniformly Convergent High-Order Schemes for a 2D Elliptic Reaction-Diffusion Problem with Anisotropic Coefficients

摘要

著录项

相似文献

相关主题

期刊订阅