Local projection stabilization virtual element method for the convection-diffusion equation with nonlinear reaction term
Computers & Mathematics with Applications(2023)
摘要
We present an efficient local projection-based stabilized virtual element method for the convection-diffusion equation with a nonlinear reaction term. The proposed discrete scheme contains a local projection stabilization term with a suitable virtual element stabilizer. We prove the existence and stability of the discrete solution and then the convergence estimates in the energy and L2 norms. Numerical experiments are conducted for the problems having interior and boundary layers. We validate the theoretical convergence rates and show the efficiency of the proposed method by comparing the obtained results with the residual-based stabilization methods.
更多查看译文
关键词
Stabilized virtual element method,Convection-diffusion equation,Nonlinear reaction,Interior and boundary layers
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要