报告主题：椭圆方程基于P1元的中心差分方法的H^1超收敛
报告人：何银年 教授 （西安交通大学）
报告时间：2017年 10月9日（周一）10:00
报告地点：校本部G507
邀请人：李常品
主办部门：8455新葡萄场网站数学系
报告摘要： In this paper, the coefficient matrixes of the center finite difference (CFD) method based on P1-element on the non-uniform mesh for solving the elliptic equation is reduced and the H1-stability and convergence of the CFD solution uh is provided. Next, the H1-super-convergence of u_h to I_hu is obtained under the case of the almost-uniform mesh. Based on the H^1-super-convergence of u_h to I_hu, the optimal L^2-error estimate of the numerical solution u_h and the H^1-super-convergence error estimate of the interpolation solution I^2_{2h}u_h are derived. Finally, some numerical tests are made to show the analytical results of the CFD method.
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