شماره ركورد كنفرانس :
3894
عنوان مقاله :
Optimal Error Estimates for the Moving Least Squares Collocation Method for Second–Order Elliptic PDEs
پديدآورندگان :
Foroush Bastani Ali Institute for Advanced Studies in Basic Sciences , Dehghan Mehdi Amirkabir University of Technology , Shirzadi Mohammad Amirkabir University of Technology
كليدواژه :
Moving least squares method , Second–order elliptic PDEs , Error bound
عنوان كنفرانس :
چهاردهمين سمينار ملي معادلات ديفرانسيل، سيستم هاي ديناميكي و كاربردها
چكيده فارسي :
This paper presents the optimal error estimate of the well–known moving least squares (MLS) collocation method for second–order elliptic PDEs. We will show that our estimate improves the results obtained by [Cheng, Rongjun and Cheng, Yumin, 2008, Error estimates for the finite point method, Applied Numerical Mathematics, 58 (6), pp. 884–898] both in terms of the used norm (here the uniform norm) and the obtained order estimates
