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  5. Coupling optimization algorithm and localized meshless method with radial basis functions to solve b

Coupling optimization algorithm and localized meshless method with radial basis functions to solve b

来源 :第7届Trefftz工程计算方法(ICTM2015)暨第3届基本解工程应用方法(MFS) | 被引量 : 0次 | 上传用户：sentimantal
【摘 要】
：
　　In this paper we deal with the numerical solution of the mixed fourth order boundary value problem by coupling the optimization algorithm and localized RBFs
【作 者】
：
LoubnaBoudjaj[1]AhmedNaji[1]FatimaGhafrani[2]CSChen[3] 
【机 构】
：
LMA,Department of Mathematiques,Faculty of Siences and Techniques,Tangier,Morocco
【出 处】
：
第7届Trefftz工程计算方法(ICTM2015)暨第3届基本解工程应用方法(MFS)
【发表日期】
：
2015年期
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　　In this paper we deal with the numerical solution of the mixed fourth order boundary value problem by coupling the optimization algorithm and localized RBFs collocation method.To formulate the problem as an optimization one,we first construct the constraints functions by splitting the biharmonic equation into two coupled Laplace equations.Then,the Neumann boundary condition is used as energy-like error functional to be minimized.The effectiveness of the proposed method is demonstrated by solving examples.
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