Reconstruction of the right-hand side of the elliptical equation from observation data obtained at the boundary
Petr N. Vabishchevich (2007)
Kragujevac Journal of Mathematics
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Petr N. Vabishchevich (2007)
Kragujevac Journal of Mathematics
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Liu, Don, Kuang, Weijia, Tangborn, Andrew (2009)
Advances in Mathematical Physics
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Dosiyev, A.A., Buranay, S.Cival, Subasi, D. (2010)
Boundary Value Problems [electronic only]
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Wolfgang Hackbusch, Stefan A. Sauter (1998)
Archivum Mathematicum
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In this paper a new finite element approach is presented which allows the discretization of PDEs on domains containing small micro-structures with extremely few degrees of freedom. The applications of these so-called Composite Finite Elements are two-fold. They allow the efficient use of multi-grid methods to problems on complicated domains where, otherwise, it is not possible to obtain very coarse discretizations with standard finite elements. Furthermore, they provide a tool for discrete...
Jaroslav Haslinger, Pekka Neittaanmäki, Kimmo Salmenjoki (1992)
Applications of Mathematics
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We consider FE-grid optimization in elliptic unilateral boundary value problems. The criterion used in grid optimization is the total potential energy of the system. It is shown that minimization of this cost functional means a decrease of the discretization error or a better approximation of the unilateral boundary conditions. Design sensitivity analysis is given with respect to the movement of nodal points. Numerical results for the Dirichlet-Signorini problem for the Laplace equation...
Raino A. E. Mäkinen, Tuomo Rossi, Jari Toivanen (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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