چکیده مقاله
The present paper considers PDEs on curves with Gaussian data We state formulation of elliptic PDE on curves applying recently developed implicit closest point method and drive the cut finite element solution The Gaussian data is included to the PDE and we drive the required statistics analytically and numerically Uncertaintyquantification is performed with Monte Carlo sampling method and stochastic Collocation method Karhunen Loeve expansion is applied for approximation of random data The method is numerically implemented to some examples and results illustrating the efficiency of the method
کلیدواژهها
نویسندگان
Mostafa Eslami
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Hadi Estebsari
Department of Mathematics, Iran University Science, and Technology, Tehran, Iran
شیوه ارجاع
Eslami, Mostafa and Estebsari, Hadi,1394,Numerical Studying of PDEs on Manifold with Gaussian Data,1st National Conference on Soft Computing,Rasht
ارائهشده در
مجموعه مقالات نخستین کنفرانس ملی محاسبات نرم27 آبان 1394 · رشت