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We prove the existence of a unique solution (in classical sense) of the two-dimensional non-stationary Euler equation, in a bounded and simply-connected domain which dépendes on the time.
We prove the existence of a unique solution for a free boundary problem relative to the stationary flow between two water reservoirs of different levels separated by a non-homogeneous dam with variable cross section.
Three non-overlapping domain decomposition methods are proposed for the numerical approximation of time-harmonic Maxwell equations with damping (i.e., in a conductor). For each method convergence is proved and, for the discrete problem, the rate of convergence of the iterative algorithm is shown to be independent of the number of degrees of freedom.
Three non-overlapping domain decomposition methods are proposed for the
numerical
approximation of time-harmonic Maxwell equations with damping (, in a conductor). For
each method convergence is proved and, for the discrete problem, the rate of
convergence
of the iterative algorithm is shown to be independent of the number of
degrees of freedom.
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