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UPC 9781461458104 Symmetric Discontinuous Galerkin Methods for 1-D Waves 

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ISBN 9781461458104 - Symmetric Discontinuous Galerkin Methods for 1-D Waves

ISBN 9781461458104
Symmetric Discontinuous Galerkin Methods for 1-D Waves

   Barcode ISBN 9781461458104

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Description 9781461458104
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). Efficient filtering mechanisms are also developed?by means of techniques previously proved to be appropriate for classical schemes like finite differences or P1-classical finite elements. In particular,?the work presents a proof that?the 9781461458104
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9 781461 458104
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New Link Scanned 9781461458104
2019-01-16 09:47:52

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