Meshfree First-order System Least Squares

作     者：Hugh R.MacMillan Max D.Gunzburger John V.Burkardt 

作者机构：Department of Mathematical Sciences Clemson UniversityClemsonSC 29634-0975USA. School of Computational Science Florida State UniversityTallahasseeFL 32306-4120USA. Advanced Research Computing Virginia Tech UniversityBlacksburgVA 24061-0123USA. 

出 版 物：《Numerical Mathematics(Theory,Methods and Applications)》 (高等学校计算数学学报（英文版）)

年 卷 期：2008年第1卷第1期

页      面：29-43页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：Florida State University Research Foundation Clemson University NSF/EPSCoR [29-201-xxxx-0975-223-2094887] 

主　　题：Meshfree methods first-order system least squares adaptive finite elements 

摘      要：We prove convergence for a meshfree first-order system least squares(FOSLS) partition of unity finite element method(PUFEM).Essentially,by virtue of the partition of unity,local approximation gives rise to global approximation in H(div)∩H(curl). The FOSLS formulation yields local a posteriori error estimates to guide the judicious allotment of new degrees of freedom to enrich the initial point set in a meshfree dis- *** numerical results are provided and remaining challenges are discussed.