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}
}
|
G. Gassner, F. Hindenlang, C.-D. Munz A Runge-Kutta based Discontinuous Galerkin Method with Time Accurate Local Time Stepping (Incollection) Wang, (Ed.): Adaptive High-Order Methods in Computational Fluid Dynamics, World Scientific, 2011. (Links | BibTeX | Tags: Discontinuous Galerkin, Local Timestepping, Runge-Kutta) @incollection{GHM2011,
title = {A Runge-Kutta based Discontinuous Galerkin Method with Time Accurate Local Time Stepping},
author = {G. Gassner and F. Hindenlang and C.-D. Munz},
editor = {Z. J. Wang},
url = {http://ebooks.worldscinet.com/ISBN/9789814313193/9789814313193_0004.html},
year = {2011},
date = {2011-01-01},
booktitle = {Adaptive High-Order Methods in Computational Fluid Dynamics},
publisher = {World Scientific},
series = {Advances in Computational Fluid Dynamics - Vol. 2},
keywords = {Discontinuous Galerkin, Local Timestepping, Runge-Kutta}
}
|
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. |
2010 |
C. Altmann, G. Gassner, C.-D. Munz An Explicit Space-Time Adaptive Discontinuous Galerkin Scheme (Inproceeding) Proceedings of ECCOMAS , 2010. (Links | BibTeX | Tags: Discontinuous Galerkin, Local Timestepping, Viscous MHD) @inproceedings{AGM2010,
title = {An Explicit Space-Time Adaptive Discontinuous Galerkin Scheme},
author = {C. Altmann and G. Gassner and C.-D. Munz},
url = {http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=154},
year = {2010},
date = {2010-01-01},
booktitle = {Proceedings of ECCOMAS },
keywords = {Discontinuous Galerkin, Local Timestepping, Viscous MHD}
}
|
A. Taube, G. Gassner, C.-D. Munz HP-Adaption in Space-Time within an Explicit Discontinuous Galerkin Framework. (Book) 2010. (Links | BibTeX | Tags: Discontinuous Galerkin, HP-Adaptation, Local Timestepping) @book{TGM2010,
title = {HP-Adaption in Space-Time within an Explicit Discontinuous Galerkin Framework.},
author = {A. Taube and G. Gassner and C.-D. Munz},
url = {http://books.google.com/books?id=zUjswoaMqyUC&pg=PA426&lpg=PA426&dq=HP-Adaption+in+Space-Time+within+an+Explicit+Discontinuous+Galerkin+Framework&source=bl&ots=Xes_oKNRg4&sig=x20CddSDq102HGnUhPaYAg9GJ9c&hl=en&ei=lC5ZTr6COM20hAfQh5Ui&sa=X&oi=book_result&ct=result&resnum=1&ved=0CBcQ6AEwAA#v=onepage&q=HP-Adaption%20in%20Space-Time%20within%20an%},
year = {2010},
date = {2010-01-01},
volume = {ADIGMA - A European Initiative on the De},
keywords = {Discontinuous Galerkin, HP-Adaptation, Local Timestepping}
}
|
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}
}
|
G. J. Gassner Discontinuous Galerkin Methods for the Unsteady Compressible Navier-Stokes Equations (PhD Thesis) Universität Stuttgart, 2009. (Links | BibTeX | Tags: Discontinuous Galerkin, Local Timestepping, Navier-Stokes, Nodal Integration, Space-Time, Viscous Riemann Problem) @phdthesis{GassnerPHD2009,
title = {Discontinuous Galerkin Methods for the Unsteady Compressible Navier-Stokes Equations},
author = {G. J. Gassner},
url = {http://elib.uni-stuttgart.de/opus/volltexte/2009/3948/},
year = {2009},
date = {2009-01-01},
school = {Universität Stuttgart},
keywords = {Discontinuous Galerkin, Local Timestepping, Navier-Stokes, Nodal Integration, Space-Time, Viscous Riemann Problem}
}
|
G. Gassner, M. Haas An Explicit High Order Accurate Predictor-Corrector Time Integration Method with Consistent Local Time-Stepping for Discontinuous Galerkin Schemes (Inproceeding) AIP Conference Proceedings, 2009. (Links | BibTeX | Tags: Discontinuous Galerkin, Local Timestepping) @inproceedings{GH2009,
title = {An Explicit High Order Accurate Predictor-Corrector Time Integration Method with Consistent Local Time-Stepping for Discontinuous Galerkin Schemes},
author = {G. Gassner and M. Haas},
url = {http://www.deepdyve.com/lp/american-institute-of-physics/an-explicit-high-order-accurate-predictor-corrector-time-integration-0QXozZ7SOQ},
year = {2009},
date = {2009-01-01},
booktitle = {AIP Conference Proceedings},
keywords = {Discontinuous Galerkin, Local Timestepping}
}
|
Altmann, Christoph, Belat, Thomas, Gutnic, Michael, Helluy, Philippe, Mathis, Hélène, Sonnendrücker, Éric, Angulo, Wilfredo, Hérard, Jean-Marc A local time-stepping Discontinuous Galerkin algorithm for the MHD system (Article) ESAIM: Proc., 28, pp. 33-54, 2009. (Links | BibTeX | Tags: Conservation Law, Discontinuous Galerkin, Local Timestepping, MHD) @article{ refId,
title = {A local time-stepping Discontinuous Galerkin algorithm for the MHD system},
author = {Altmann, Christoph and Belat, Thomas and Gutnic, Michael and Helluy, Philippe and Mathis, Hélène and Sonnendrücker, Éric and Angulo, Wilfredo and Hérard, Jean-Marc},
url = {http://dx.doi.org/10.1051/proc/2009038},
year = {2009},
date = {2009-01-01},
journal = {ESAIM: Proc.},
volume = {28},
pages = {33-54},
keywords = {Conservation Law, Discontinuous Galerkin, Local Timestepping, MHD}
}
|
2008 |
Gassner, G., Lörcher, F., Munz, C.-D. A Discontinuous Galerkin Scheme based on a Space-Time Expansion II. Viscous Flow Equations in Multi Dimensions (Article) Journal of Scientific Computing, 34, pp. 260-286, 2008, (10.1007/s10915-007-9169-1). (Links | BibTeX | Tags: Discontinuous Galerkin, Local Timestepping, Navier-Stokes, Space-Time, Viscous Riemann Problem) @article{STEDG-2,
title = {A Discontinuous Galerkin Scheme based on a Space-Time Expansion II. Viscous Flow Equations in Multi Dimensions},
author = {Gassner, G. and Lörcher, F. and Munz, C.-D.},
url = {http://dx.doi.org/10.1007/s10915-007-9169-1},
year = {2008},
date = {2008-01-01},
journal = {Journal of Scientific Computing},
volume = {34},
pages = {260-286},
publisher = {Springer Netherlands},
note = {10.1007/s10915-007-9169-1},
keywords = {Discontinuous Galerkin, Local Timestepping, Navier-Stokes, Space-Time, Viscous Riemann Problem}
}
|
C. Altmann, G. Gassner, F. Lörcher, C.-D. Munz A space-time expansion discontinuous Galerkin scheme with local time-stepping for the ideal and viscous MHD equations. (Inproceeding) In Proceedings of ICOPS, 2008. (BibTeX | Tags: Discontinuous Galerkin, Local Timestepping, Space-Time, Viscous MHD) @inproceedings{AGLM2008,
title = {A space-time expansion discontinuous Galerkin scheme with local time-stepping for the ideal and viscous MHD equations.},
author = {C. Altmann and G. Gassner and F. Lörcher and C.-D. Munz},
year = {2008},
date = {2008-01-01},
booktitle = {In Proceedings of ICOPS},
keywords = {Discontinuous Galerkin, Local Timestepping, Space-Time, Viscous MHD}
}
|
C. Altmann, G. Gassner, F. Lörcher, A. Taube, C.-D. Munz An explicit space-time discontinuous Galerkin scheme with local time-stepping for unsteady ows (Inproceeding) Proceedings of ECCOMAS CFD, 2008. (BibTeX | Tags: Discontinuous Galerkin, Local Timestepping, Unsteady Flows) @inproceedings{AGLTM2008,
title = {An explicit space-time discontinuous Galerkin scheme with local time-stepping for unsteady ows},
author = {C. Altmann and G. Gassner and F. Lörcher and A. Taube and C.-D. Munz},
year = {2008},
date = {2008-01-01},
booktitle = {Proceedings of ECCOMAS CFD},
keywords = {Discontinuous Galerkin, Local Timestepping, Unsteady Flows}
}
|
2007 |
Lörcher, F., Gassner, G., Munz, C.-D. A Discontinuous Galerkin Scheme Based on a Space—Time Expansion I. Inviscid Compressible Flow in One Space Dimension (Article) J. Sci. Comput., 32, pp. 175–199, 2007. (Links | BibTeX | Tags: Cauchy-Kovalevskaya Procedure, Disconinuous Galerkin, Local Timestepping, Space-Time) @article{Lorcher2007,
title = {A Discontinuous Galerkin Scheme Based on a Space—Time Expansion I. Inviscid Compressible Flow in One Space Dimension},
author = {Lörcher, F. and Gassner, G. and Munz, C.-D.},
url = {http://dl.acm.org/citation.cfm?id=1275082.1275086},
year = {2007},
date = {2007-01-01},
journal = {J. Sci. Comput.},
volume = {32},
pages = {175--199},
publisher = {Plenum Press},
address = {New York, NY, USA},
keywords = {Cauchy-Kovalevskaya Procedure, Disconinuous Galerkin, Local Timestepping, Space-Time}
}
|
