Rothe method for a mixed problem with an integral condition for the two-dimensional diffusion equation.
Merazga, Nabil, Bouziani, Abdelfatah (2003)
Abstract and Applied Analysis
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Merazga, Nabil, Bouziani, Abdelfatah (2003)
Abstract and Applied Analysis
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Alves, Margareth S., Rivera, Jaime E.Muñoz, Sepúlveda, Mauricio, Villagrán, Octavio Vera (2011)
Boundary Value Problems [electronic only]
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de Menezes, S.B. (2006)
International Journal of Mathematics and Mathematical Sciences
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Ján Lovíšek (2003)
Applications of Mathematics
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A class of parabolic initial-boundary value problems is considered, where admissible coefficients are given in certain intervals. We are looking for maximal values of the solution with respect to the set of admissible coefficients. We give the abstract general scheme, proposing how to solve such problems with uncertain data. We formulate a general maximization problem and prove its solvability, provided all fundamental assumptions are fulfilled. We apply the theory to certain Fourier...
Bouziani, Abdelfatah, Merazga, Nabil (2004)
Advances in Difference Equations [electronic only]
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Dana Říhová-Škabrahová (2001)
Applications of Mathematics
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The computation of nonlinear quasistationary two-dimensional magnetic fields leads to a nonlinear second order parabolic-elliptic initial-boundary value problem. Such a problem with a nonhomogeneous Dirichlet boundary condition on a part of the boundary is studied in this paper. The problem is discretized in space by the finite element method with linear functions on triangular elements and in time by the implicit-explicit method (the left-hand side by the implicit Euler method and...