报告题目：High order finite volume element solutions based on postprocessing technique in two dimensions
报告人：周艳辉 广州技术师范大学
报告时间：2023年 08月05日（星期六）10:00-11:00
报告地点: 正新楼105
校内联系人：王翔 wxjldx@jlu.edu.cn
报告摘要：In this talk, for the two dimensional anisotropic diffusion problem, the classical k-th order finite element solution is postprocessed to obtain a new finite volume element solution, such that the new solution satisfies the local conservation property on a certain dual mesh, and converges to the analytic solution with optimal rates. The postprocessing algorithm has a local nature and can be conducted element by element. By introducing some new bubble functions, we presented a unified approach to prove the existence and uniqueness of the postprocessed solution on arbitrary triangular or convex quadrilateral meshes with full anisotropic diffusion tensor. The theoretical findings are also verified by some numerical results.
报告人简介：周艳辉，广东技术师范大学数学与系统科学学院讲师。研究方向为微分方程数值解，具体为有限体积元法的构造、稳定性分析和误差估计。主要结果发表在《Adv Comput Math》、《Appl Math Lett》、《Comput Math Appl》、《J Comput Appl Math》和《Numer Methods Partial Differ Eq》等期刊上。主持一项广东省自然科学基金面上项目。
