桂林电子科技大学学报2012，Vol.32Issue(3)：240-243,4.
自适应有限元网格上的平均型高精度逼近
Averaging type higher accuracy approximations on adaptive finite element grids
摘要
Abstract
Averaging techniques are popular tools in adaptive finite element methods for the numerical treatment of partial differential equations since they provide the efficient posteriori error estimates by a simple postprocessing. It is shown that the averaging techniques can yield higher accuracy approximations to the gradient of the solution than that of the finite element solution on adaptive finite element grids. Both smooth coefficients problems and large jump coefficients problems will be considered. Some numerical experiments including linear problems and nonlinear problems will be reported.关键词
自适应有限元法/局部平均/高精度逼近/边值问题Key words
adaptive finite element method/ local averaging/ high accuracy approximation/ boundary value problem分类
数理科学引用本文复制引用
阳莺,李利鑫..自适应有限元网格上的平均型高精度逼近[J].桂林电子科技大学学报,2012,32(3):240-243,4.基金项目
国家自然科学基金(11001052) （11001052）
广西教育厅科研项目(201012MS094) （201012MS094）
