報告題目：High order finite volume element solutions based on postprocessing technique in two dimensions
報告人：周豔輝 廣州技術師範大學
報告時間：2023年 08月05日（星期六）10:00-11:00
報告地點: 正新樓105
校内聯系人：王翔 wxjldx@jlu.edu.cn
報告摘要：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.
報告人簡介：周豔輝，廣東技術師範大學數學與系統科學學院講師。研究方向為微分方程數值解，具體為有限體積元法的構造、穩定性分析和誤差估計。主要結果發表在《Adv Comput Math》、《Appl Math Lett》、《Comput Math Appl》、《J Comput Appl Math》和《Numer Methods Partial Differ Eq》等期刊上。主持一項廣東省自然科學基金面上項目。
