Some remarks on the characterization of the space of tangential traces of H(rot; ...) and the construction of an extension operator.
Domain decomposition algorithms for time-harmonic Maxwell equations with damping
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.
Absolutely continuous dynamics and real coboundary cocycles in -spaces, 0 < p < ∞
Conditions for the existence of measurable and integrable solutions of the cohomology equation on a measure space are deduced. They follow from the study of the ergodic structure corresponding to some families of bidimensional linear difference equations. Results valid for the non-measure-preserving case are also obtained
Domain Decomposition Algorithms for Time-Harmonic Maxwell Equations with Damping
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.
Spectral approximation of variationally formulated eigenvalue problems on curved domains.
Ergodic type solutions of differential equations with piecewise constant arguments.
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