شماره راهنما :
1100 دكتري
پديد آورنده :
جان نثاري، زهرا
عنوان :
روش هاي تطبيقي گالركين بدون شبكه براي حل معادلات با مشتقات پاره اي بيضوي
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي
صفحه شمار :
يازده، [۱۴۷]ص.: مصور، جدول، نمودار
استاد راهنما :
مهدي تاتاري
استاد مشاور :
داود ميرزايي
واژه نامه :
انگليسي به فارسي
توصيفگر ها :
تقريب كمترين مربعات متحرك , روش گالركين بي نياز از عناصر , روش هاي انطباقي , توليد شبكه , برآوردكننده هاي خطاي پسين , تظريف موضعي
استاد داور :
اسماعيل بابليان، عليرضا سهيلي، رضا مختاري
تاريخ ورود اطلاعات :
1396/09/25
كد ايرانداك :
ID1100 دكتري
چكيده انگليسي :
Adaptive element free Galerkin methods for solving elliptic partial di erential equations Zahra Jannesari z jannesari@math iut ac ir 2017 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran Supervisor Dr Mehdi Tatari mtatari@cc iut ac ir Advisor Dr Davoud Mirzaei d mirzaei@sci ui ac ir 2010 MSC 65N99 Keywords Element free Galerkin method MLS approximation adaptive techniques posteriorierror estimation mesh generation local re nements AbstractIn practical problems usually solutions have properties like crack discontinuity singularity Also some of them change rapidly over part of the computational domain and slowly over other parts Inthese problems nding an acceptable solution is usually di cult and time consuming The suggestionis using adaptive strategies that have become very popular In this thesis we focus on developing anadaptive technique for the element free Galerkin EFG method This method is a meshless methodand uses the moving least squares MLS approximation to construct shape functions IntroductionThe adaptive techniques are powerful tools to simultaneously increase accuracy and reduce the costof numerical computations In fact the aim is to compute a numerical solution in such a way thatthe error is of a prescribed accuracy and the number of degrees of freedom is as small as possible Adaptive methods try to determine a locally re ned mesh i e the mesh will be quite ne in the partsof the domain that have problems like singularity peak and etc On the other hand a coarser meshwill su ce for other parts of the domain The most important parts of an adaptive technique are a
استاد راهنما :
مهدي تاتاري
استاد مشاور :
داود ميرزايي
استاد داور :
اسماعيل بابليان، عليرضا سهيلي، رضا مختاري
