Determination of a nonlinear source term in a diffusion equation with final observations.
Li, Gongsheng, Ma, Yichen, Li, Kaitai (2004)
International Journal of Mathematics and Mathematical Sciences
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Li, Gongsheng, Ma, Yichen, Li, Kaitai (2004)
International Journal of Mathematics and Mathematical Sciences
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Hossein Azari, Shu Hua Zhang (2009)
Applications of Mathematics
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In this article we transform a large class of parabolic inverse problems into a nonclassical parabolic equation whose coefficients consist of trace type functionals of the solution and its derivatives subject to some initial and boundary conditions. For this nonclassical problem, we study finite element methods and present an immediate analysis for global superconvergence for these problems, on basis of which we obtain a posteriori error estimators.
Gözükızıl, Omer Faruk, Yaman, Metin (2008)
Applied Mathematics E-Notes [electronic only]
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Bouziani, Abdelfatah (2002)
International Journal of Mathematics and Mathematical Sciences
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Wang, Ping, Zheng, Kewang (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Merazga, Nabil, Bouziani, Abdelfatah (2003)
Abstract and Applied Analysis
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Zouyed, F., Rebbani, F., Boussetila, N. (2007)
Abstract and Applied Analysis
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Yaman, M., Gür, Ş. (2010)
Boundary Value Problems [electronic only]
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Gonzalez-Velasco, Enrique A. (1989)
International Journal of Mathematics and Mathematical Sciences
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Bouziani, Abdelfatah (2002)
Abstract and Applied Analysis
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de Menezes, S.B. (2006)
International Journal of Mathematics and Mathematical Sciences
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