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- W4313334512 abstract "Abstract We study weak solutions and its approximation of hyperbolic linear symmetric Friedrichs systems describing acoustic, elastic, or electro-magnetic waves. For the corresponding first-order systems we construct discontinuous Galerkin discretizations in space and time with full upwind, and we show primal and dual consistency. Stability and convergence estimates are provided with respect to a mesh-dependent DG norm which includes the $${textrm{L}}_2$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mtext>L</mml:mtext> <mml:mn>2</mml:mn> </mml:msub> </mml:math> norm at final time. Numerical experiments confirm that the a priori results are of optimal order also for solutions with low regularity, and we show that the error in the DG norm can be closely approximated with a residual-type error indicator." @default.
- W4313334512 created "2023-01-06" @default.
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- W4313334512 date "2022-12-29" @default.
- W4313334512 modified "2023-09-26" @default.
- W4313334512 title "Space-Time Discontinuous Galerkin Methods for Weak Solutions of Hyperbolic Linear Symmetric Friedrichs Systems" @default.
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- W4313334512 doi "https://doi.org/10.1007/s10915-022-02076-3" @default.
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