【摘 要】
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In this study,the generalized finite difference method(GFDM)is adopted to stably and accurately solve two-and three-dimensional inverse Cauchy problems.In s
【机 构】
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DepartmentofHarborandRiverEngineering&ComputationandSimulationCenter,NationalTaiwanOceanUniversity,K
【出 处】
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第五届亚太国际工程中计算方法学术会议暨第11届全国工程计算方法学术会议
论文部分内容阅读
In this study,the generalized finite difference method(GFDM)is adopted to stably and accurately solve two-and three-dimensional inverse Cauchy problems.In some realistic engineering problems,parts of problem descriptions are unknown,such as boundary conditions,boundary spatial position,inhomogeneous source,heat conductivity,etc.In this paper,we considered the inverse Cauchy problem,which lack for well-posed boundary conditions.Since the considered inverse Cauchy problems are ill-posed problems,numerical simulation will become very unstable and small noise added into boundary conditions may result in extremely large computational errors.Consequently,to develop a stable and accurate numerical scheme for numerical solutions of inverse Cauchy problems is of great importance.
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