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A relevant difference between (9) and least squares formulations is that the former can be used to prove k-explicit stability bounds on u, while the seconds requires these bounds to be well-posed. We note that, using an appropriate operator T : V → V, any well-posed formulation in the form (2) can be translated in a sign-definite one: a T (u, v) := a(u, T(More)
A construction of prismatic Hardy space infinite elements to discretize wave equations on unbounded domains Ω in H 1 loc (Ω), H loc (curl; Ω) and H loc (div; Ω) is presented. As our motivation is to solve Maxwell's equations we take care that these infinite elements fit into the discrete de Rham diagram, i.e. they span discrete spaces, which together with(More)
We consider time harmonic wave equations in cylindrical wave-guides with physical solutions for which the signs of group and phase velocities differ. The perfectly matched layer methods select modes with positive phase velocity, and hence they yield stable, but unphysical solutions for such problems. We derive an infinite element method for a physically(More)
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