Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Pietro Benedusi"'
Publikováno v:
Journal of Computational Physics. 479:112013
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b88ad9e6fb98eb0ac08454a5cd1c9b3f
https://doi.org/10.1016/j.jcp.2023.112013
https://doi.org/10.1016/j.jcp.2023.112013
Context.The numerical modeling of the generation and transfer of polarized radiation is a key task in solar and stellar physics research and has led to a relevant class of discrete problems that can be reframed as linear systems. In order to solve su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d2a39568d8004bf0be59e87eb63c7a9
http://arxiv.org/abs/2110.11861
http://arxiv.org/abs/2110.11861
Publikováno v:
Astronomy & Astrophysics. 664:A197
Context. The polarization signals produced by the scattering of anistropic radiation in strong resonance lines encode important information about the elusive magnetic fields in the outer layers of the solar atmosphere. An accurate modeling of these s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e0f6c1af17b157b4e685862885f13188
https://doi.org/10.1051/0004-6361/202243059
https://doi.org/10.1051/0004-6361/202243059
We consider the space-time discretization of the diffusion equation, using an isogeometric analysis (IgA) approximation in space and a discontinuous Galerkin (DG) approximation in time. Drawing inspiration from a former spectral analysis, we propose
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5eca391aff963b1883bb8f66d563c34
http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-456215
http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-456215
Author(s): Benedusi, P; Minion, ML; Krause, R | Abstract: We consider two parallel-in-time approaches applied to a (reaction) diffusion problem, possibly non-linear. In particular, we consider PFASST (Parallel Full Approximation Scheme in Space and T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::87bcdcc3e465c7e0495fcec9899b9699
http://arxiv.org/abs/2006.12883
http://arxiv.org/abs/2006.12883
Publikováno v:
Astronomy & Astrophysics. 655:A88
Context. Numerical solutions to transfer problems of polarized radiation in solar and stellar atmospheres commonly rely on stationary iterative methods, which often perform poorly when applied to large problems. In recent times, stationary iterative
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e47c87606efcaf68e39134d059765744
https://doi.org/10.1051/0004-6361/202141238
https://doi.org/10.1051/0004-6361/202141238
We present a novel approach aimed at high-performance uncertainty quantification for time-dependent problems governed by partial differential equations. In particular, we consider input uncertainties described by a Karhunen-Loeve expansion and comput
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::56be2667ddbe9c513d8385f5e337bcf8
http://arxiv.org/abs/1911.06066
http://arxiv.org/abs/1911.06066
The multidimensional heat equation, along with its more general version known as the (linear) anisotropic diffusion equation, is discretized by a discontinuous Galerkin (DG) method in time and a fi...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::87586f44025a12c98dd708ec0aa7b925
http://hdl.handle.net/11383/2076108
http://hdl.handle.net/11383/2076108
Publikováno v:
Lecture Notes in Computational Science and Engineering ISBN: 9783319399270
ENUMATH
ENUMATH
We present a parallel and efficient multilevel solution method for the nonlinear systems arising from the discretization of Navier–Stokes (N-S) equations with finite differences. In particular we study the incompressible, unsteady N-S equations wit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b991422779e6ac66031288b971e6fde
https://doi.org/10.1007/978-3-319-39929-4_26
https://doi.org/10.1007/978-3-319-39929-4_26
Space and Time Parallel Multigrid for Optimization and Uncertainty Quantification in PDE Simulations
Autor:
Volker Schulz, Martin Siebenborn, Uwe Küster, Arne Nägel, Gabriel Wittum, Pietro Benedusi, Björn Dick, Christian Löbbert, Rolf Krause, Lars Grasedyck
Publikováno v:
Lecture Notes in Computational Science and Engineering ISBN: 9783319405261
Software for Exascale Computing
Software for Exascale Computing
In this article we present a complete parallelization approach for simulations of PDEs with applications in optimization and uncertainty quantification. The method of choice for linear or nonlinear elliptic or parabolic problems is the geometric mult
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4cf61eef451c226591eaab1dd9e60ed5
https://doi.org/10.1007/978-3-319-40528-5_23
https://doi.org/10.1007/978-3-319-40528-5_23