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math.NA2023
Well-posedness of first-order acoustic wave equations and space-time finite element approximation
Thomas Führer, Roberto González, Michael Karkulik
We study a first-order system formulation of the (acoustic) wave equation and prove that the operator of this system is an isomorphsim from an appropriately defined graph space to…
math.NA2022★ 1 cited
Space-time finite element methods for parabolic distributed optimal control problems
Thomas Führer, Michael Karkulik
We present a method for the numerical approximation of distributed optimal control problems constrained by parabolic partial differential equations. We complement the first-order o…