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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.NA2023
On interpolation spaces of piecewise polynomials on mixed meshes
Michael Karkulik, Jens Markus Melenk, Alexander Rieder
We consider fractional Sobolev spaces , , on 2D domains and -conforming discretizations by globally continuous piecewise polynomials on a mesh consisting of s…