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Symmetric discontinuous Galerkin methods of 1-D waves : Fourier analysis, propagation, observability and applications

Author: Aurora Marica; E Zuazua
Publisher: New York : Springer, 2014.
Series: SpringerBriefs in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This workdescribes 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, highlightingthe coexistence of two Fourier spectral branches or spectral diagrams (physical and spurious) related to the two components of the  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Marica, Aurora.
Symmetric discontinuous Galerkin approximations of 1-D waves
(OCoLC)862760525
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Aurora Marica; E Zuazua
ISBN: 9781461458111 1461458110
OCLC Number: 874021860
Description: 1 online resource.
Contents: 1. Preliminaries --
2. Discontinuous Galerkin approximations and main results --
3. Bibliographical notes --
4. Fourier analysis of the DG methods --
5. Non-uniform observability for DG approximations of waves --
6. Filtering mechanisms --
7. Extensions to other numerical approximation schemes --
8. Comments and open problems --
A technical proof --
References.
Series Title: SpringerBriefs in mathematics.
Responsibility: by Aurora Marica, Enrique Zuazua.

Abstract:

Finally, the book explains how these results can be extended to other more sophisticated conforming and non-conforming finite element methods, in particular to quadratic finite elements, local  Read more...

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