Mahmoud Mohamed Mohamed Ahmed Ayyad <br/><br/>
Galerkin-least-squares FEM on a GPU architecture for viscoelastic fluids /  
 للسوائل ذات اللزوجة-المرنة GPU طريقة العنصر المحدود  جالركن / اقل-التربيعات باستخدام وحدة معالجة الرسومات 
Mahmoud Mohamed Mohamed Ahmed Ayyad ; Supervised Maha Amin Hassanein , Amr Gamal Guaily 
 - Cairo :   Mahmoud Mohamed Mohamed Ahmed Ayyad ,   2017 
 - 93 P. :   facsimiles ;   30cm 
<br/><br/>Thesis (M.Sc.) - Cairo University - Faculty of Engineering - Department of Mathematics and Physics 
<br/><br/> The Galerkin-least-squares finite element method (FEM) is used to simulate the flow of blood, modeled as viscoelastic fluid, in abdominal aorta with two aneurysms. Discrete elastic-viscous stress-splitting (DEVSS) is used to overcome the instability that arises from considering the blood as a viscoelastic fluid. The solution is accelerated by implementing the FEM on graphics processing unit (GPU). The problem is implemented on CPU and GPU architectures. Experimental results find that the proposed algorithm on the GPU architecture shows a significant speed-up over the CPU architecture implementations 
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<br/><br/><label>Subjects--Index Terms: </label>Finite element method Galerkin least-squares-method Graphics processing units