A New Variational Formulation for a Kind of Reaction-diffusion Problem in Broken Sob olev Space |
| |
| Authors: | GE Zhi-hao CAO Ji-wei |
| |
| Affiliation: | 1. Institute of Applied Mathematics and School of Mathematics and Statistics, Henan University, Kaifeng 475000, China;2. College of Mathematics and Information Science, Henan University of Eco-nomics and Law, Zhengzhou 450000, China |
| |
| Abstract: | In this paper, a new variational formulation for a reaction-diffusion problem in broken Sobolev space is proposed. And the new formulation in the broken Sobolev space will be proved that it is well-posed and equivalent to the standard Galerkin variational formulation. The method will be helpful to easily solve the original partial differential equation numerically. And the method is novel and interesting, which can be used to deal with some complicated problem, such as the low regularity problem, the differential-integral problem and so on. |
| |
| Keywords: | broken Sobolev space variational formulation discontinuous Galerkin method inf-sup condition |
| 本文献已被 万方数据 等数据库收录！ |
|
