A unified computable formula is presented for the constant of inverse estimation emanating from stabilized finite element methods. The method lies in introducing an elementwise bubble space spanned by the interpolatio...A unified computable formula is presented for the constant of inverse estimation emanating from stabilized finite element methods. The method lies in introducing an elementwise bubble space spanned by the interpolation base functions with an additional bubble function given,and the parameter playing a stabilization role can take its value in a determined range.展开更多
In this paper, a Galerkin /least squares-type finite element method is proposed for a quasi-Newtonian flow, where the viscosity obeys the power law, The method is consistent and stable for P1/P1(PO) and Q1/Q1(QO) comb...In this paper, a Galerkin /least squares-type finite element method is proposed for a quasi-Newtonian flow, where the viscosity obeys the power law, The method is consistent and stable for P1/P1(PO) and Q1/Q1(QO) combination of discrete velocity and pressure spaces (without requiring the "inf-sup" stability condition).The existence, uniqueness and convergence of the discrete solution is proved.展开更多
基金The National Natural Science Foundation of China(1097116511001216+4 种基金1107119310871156)the National High-Tech Research and Development Program of China(2009AA01A135)the Foundation of AVIC Chengdu Aircraft Design and Research Institutethe Science Research Foundation of SNEDU(2010JK560)
文摘A unified computable formula is presented for the constant of inverse estimation emanating from stabilized finite element methods. The method lies in introducing an elementwise bubble space spanned by the interpolation base functions with an additional bubble function given,and the parameter playing a stabilization role can take its value in a determined range.
文摘In this paper, a Galerkin /least squares-type finite element method is proposed for a quasi-Newtonian flow, where the viscosity obeys the power law, The method is consistent and stable for P1/P1(PO) and Q1/Q1(QO) combination of discrete velocity and pressure spaces (without requiring the "inf-sup" stability condition).The existence, uniqueness and convergence of the discrete solution is proved.
基金Supported by the National Natural Science Foundation of China(11761053)Natural Science Fund of Inner Mongolia Autonomous Region(2017MS0107,2018MS01020,2019BS01010)CaoYuanYingCai Projection of Inner Mongolia,Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Regions(NJYT-17-A07)。
