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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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...
Beneš, Michal
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Philippe Angot, Vít Dolejší, Miloslav Feistauer, Jiří Felcman (1998)
Applications of Mathematics
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We present the convergence analysis of an efficient numerical method for the solution of an initial-boundary value problem for a scalar nonlinear conservation law equation with a diffusion term. Nonlinear convective terms are approximated with the aid of a monotone finite volume scheme considered over the finite volume barycentric mesh, whereas the diffusion term is discretized by piecewise linear nonconforming triangular finite elements. Under the assumption that the triangulations...
Bouziani, Abdelfatah (2002)
International Journal of Mathematics and Mathematical Sciences
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Shujun You, Boling Guo, Xiaoqi Ning (2012)
Applications of Mathematics
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This paper considers the existence and uniqueness of the solution to the initial boundary value problem for a class of generalized Zakharov equations in dimensions, and proves the global existence of the solution to the problem by a priori integral estimates and the Galerkin method.