Osama Hussein Galal Hussein <br/><br/>
The Solution of Stochastic Linear Partial Differential equations Using SFEM Through Neumann and Homogeneous Chaos Expansions /  
 حل المعادلات التفاضلية الجزئية الخطية العشوائية بطريقة العناصر المحددة العشوائية باستخدام مفكوك نيومان ومفكوك الاضطراب المتجانس 
Osama Hussein Galal Hussein ; Supervised Adel Ahmed Abd El Gawad , Magdy Abd El Aty ElTawil , Wahba ElTahan 
 - Cairo :   Osama Hussein Galal Hussein ,   2005 
 - 155P :   ill ;   30cm 
<br/><br/>Thesis (PH.D.) - Cairo University - Faculty Of Engineering - Department Of Mathematics and Physics 
<br/><br/> In this thesis , the spectral stochastic finite elements method was introduced for general stochastic linear systems which have stochastic operators and exposed to stochastic excitations with deterministic boundary conditionsTwo alternative expansions were introduced namely ; Neumann and Homogeneous Chaos expansionsGeneral mathematical expression for the first two statistical moments and the probability density function of the system response were obtainedThe derived expression were applied to three cases of study which are covering the alternative cases of stochastic structural plates 
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<br/><br/><label>Subjects--Index Terms: </label>Homogeneous Chaos Expansion Stochastic Differential Equations Stochastic Finite Elements