2012 |
Christoph Altmann Explicit Discontinuous Galerkin Methods for Magnetohydrodynamics (PhD Thesis) Universität Stuttgart, 2012, ISBN: 987-3-8439-0707-2. (Abstract | Links | BibTeX | Tags: Discontinuous Galerkin, Divergence Cleaning, Local Timestepping, Magnetohydrodynamics, Shock Capturing, Space-Time, Viscous MHD) @phdthesis{AltmannPHD2012,
title = {Explicit Discontinuous Galerkin Methods for Magnetohydrodynamics},
author = {Christoph Altmann},
editor = {Claus-Dieter Munz and James Rossmanith},
url = {http://elib.uni-stuttgart.de/opus/frontdoor.php?source_opus=7998},
isbn = {987-3-8439-0707-2},
year = {2012},
date = {2012-09-14},
school = {Universität Stuttgart},
abstract = {In this work, the explicit space-time expansion discontinuous Galerkin (STEDG) method is adapted and applied to unsteady ideal and viscous magnetohydrodynamic (MHD) computations. With a special emphasis on shock-capturing and divergence correction of the magnetic eld, enhancements to the STE-DG method are proposed that are necessary within the MHD context.},
keywords = {Discontinuous Galerkin, Divergence Cleaning, Local Timestepping, Magnetohydrodynamics, Shock Capturing, Space-Time, Viscous MHD}
}
In this work, the explicit space-time expansion discontinuous Galerkin (STEDG) method is adapted and applied to unsteady ideal and viscous magnetohydrodynamic (MHD) computations. With a special emphasis on shock-capturing and divergence correction of the magnetic eld, enhancements to the STE-DG method are proposed that are necessary within the MHD context.
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2011 |
Altmann, Christoph An Explicit Discontinuous Galerkin Scheme with Divergence Cleaning for Magnetohydrodynamics (Book) Springer Berlin Heidelberg, 2011, ISSN: 978-3-642-15337-2, (10.1007/978-3-642-15337-2_33). (Links | BibTeX | Tags: Arbitrary High Order, Discontinuous Galerkin, Divergence Cleaning, Local Timestepping, MHD) @book{springerlink:10.1007/978-3-642-15337-2_33,
title = {An Explicit Discontinuous Galerkin Scheme with Divergence Cleaning for Magnetohydrodynamics},
author = {Altmann, Christoph},
editor = {Hesthaven, Jan S. and Rønquist, Einar M. and Barth, T. J. and Griebel, M. and Keyes, D. E. and Nieminen, R. M. and Roose, D. and Schlick, T.},
url = {http://dx.doi.org/10.1007/978-3-642-15337-2_33},
issn = {978-3-642-15337-2},
year = {2011},
date = {2011-01-01},
booktitle = {Spectral and High Order Methods for Partial Differential Equations},
volume = {76},
pages = {357-364},
publisher = {Springer Berlin Heidelberg},
series = {Lecture Notes in Computational Science and Engineering},
note = {10.1007/978-3-642-15337-2_33},
keywords = {Arbitrary High Order, Discontinuous Galerkin, Divergence Cleaning, Local Timestepping, MHD}
}
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2009 |
Altmann, C., Gassner, G., Lörcher, F., Munz, C.-D. A Space-Time Expansion Discontinuous Galerkin Scheme With Local Time Stepping for the Ideal and Viscous MHD Equations (Article) Plasma Science, IEEE Transactions on, 37 (4), pp. 513 -519, 2009. (Links | BibTeX | Tags: Discontinuous Galerkin, Divergence Cleaning, Local Timestepping, Space-Time, Viscous MHD) @article{4801684,
title = {A Space-Time Expansion Discontinuous Galerkin Scheme With Local Time Stepping for the Ideal and Viscous MHD Equations},
author = {Altmann, C. and Gassner, G. and Lörcher, F. and Munz, C.-D.},
url = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4801684&tag=1},
year = {2009},
date = {2009-01-01},
journal = {Plasma Science, IEEE Transactions on},
volume = {37},
number = {4},
pages = {513 -519},
keywords = {Discontinuous Galerkin, Divergence Cleaning, Local Timestepping, Space-Time, Viscous MHD}
}
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