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Space–time discontinuous Galerkin approximation of acoustic waves with point singularities
(2020)SAM Research ReportWe develop a convergence theory of space--time discretizations for the linear, 2nd-order wave equation in polygonal domains Ω⊂ℝ2, possibly occupied by piecewise homogeneous media with different propagation speeds. Building on an unconditionally stable space--time DG formulation developed in~\cite{MoPe18}, we (a) prove optimal convergence rates for the space--time scheme with local isotropic corner mesh refinement on the spatial domain, ...Report