[PDF.17ji] Symmetric Discontinuous Galerkin Methods for 1-D Waves: Fourier Analysis, Propagation, Observability and Applications (SpringerBriefs in Mathematics)

Symmetric Discontinuous Galerkin Methods for 1-D Waves: Fourier Analysis, Propagation, Observability and Applications (SpringerBriefs in Mathematics)

[PDF.qf90] Symmetric Discontinuous Galerkin Methods for 1-D Waves: Fourier Analysis, Propagation, Observability and Applications (SpringerBriefs in Mathematics)

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 | #7503477 in Books |  2014-03-11 |  2014-03-31 | Original language:English | PDF # 1 |  9.25 x.29 x6.10l,.0 | File type: PDF | 104 pages

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This work describes the propagation properties of the so-called symmetric interior penalty discontinuous Galerkin (SIPG) approximations of the 1-d wave equation. This is done by means of linear approximations on uniform meshes. First, a careful Fourier analysis is constructed, highlighting the coexistence of two Fourier spectral branches or spectral diagrams (physical and spurious) related to the two components of the numerical solution (averages and jumps...

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