Zobrazeno 1 - 10
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pro vyhledávání: '"Thomas Hagstrom"'
Autor:
Thomas Hagstrom
Publikováno v:
2023 International Applied Computational Electromagnetics Society Symposium (ACES).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4226f09993cda4cefdb02f8a37953e8e
https://doi.org/10.23919/aces57841.2023.10114713
https://doi.org/10.23919/aces57841.2023.10114713
Publikováno v:
SIAM Journal on Scientific Computing. 43:A1497-A1526
We develop interior penalty discontinuous Galerkin difference methods for the wave equation in second-order form. The new schemes are energy conserving or energy dissipating depending on the simple...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b6908a01c4ada5d786391e3addbe55e
https://doi.org/10.1137/20m1328671
https://doi.org/10.1137/20m1328671
Publikováno v:
SIAM Journal on Scientific Computing. 42:B447-B471
Galerkin differences (GDs) were introduced in [J. W. Banks and T. Hagstrom, J. Comput. Phys., 313 (2016), pp. 310--327; J. W. Banks, T. Hagstrom, and J. Jacangelo, J. Comput. Phys., 372 (2018), pp....
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b8484a6433ba3816f5f9a724f3f7997
https://doi.org/10.1137/19m1259456
https://doi.org/10.1137/19m1259456
Publikováno v:
Journal of Scientific Computing. 81:1509-1526
We develop dissipative, energy-stable difference methods for linear first-order hyperbolic systems by applying an upwind, discontinuous Galerkin construction of derivative matrices to a space of discontinuous piecewise polynomials on a structured mes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::07acfcfc4d30f4dbad0e4fdb01a8ead7
https://doi.org/10.1007/s10915-019-01070-6
https://doi.org/10.1007/s10915-019-01070-6
Publikováno v:
Computer Methods in Applied Mechanics and Engineering. 350:719-749
We propose new forms of low-order absorbing boundary conditions (ABC) for time-dependent elastic waves in isotropic and anisotropic media. The configuration considered is that of a two-dimensional elastic waveguide . The ABC shares with the widely-kn
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::338b6b0272a1c04382d77d36986fe184
https://doi.org/10.1016/j.cma.2019.02.039
https://doi.org/10.1016/j.cma.2019.02.039
Publikováno v:
Journal of Scientific Computing. 80:289-314
We introduce Hermite-leapfrog methods for first order wave systems. The new Hermite-leapfrog methods pair leapfrog time-stepping with the Hermite methods of Goodrich and co-authors. The new schemes stagger field variables in both time and space and a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd6b8502abb90c404d7e01916c13f5fd
https://doi.org/10.1007/s10915-019-00938-x
https://doi.org/10.1007/s10915-019-00938-x
Autor:
Seungil Kim, Thomas Hagstrom
Publikováno v:
Numerische Mathematik. 141:917-966
We consider the use of complete radiation boundary conditions for the solution of the Helmholtz equation in waveguides. A general analysis of well-posedness, convergence, and finite element approximation is given. In addition, methods for the optimiz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca8217df52e261ecb6ff367e7ed0239d
https://doi.org/10.1007/s00211-018-1012-0
https://doi.org/10.1007/s00211-018-1012-0
We combine the newly-constructed Galerkin difference basis with the energy-based discontinuous Galerkin method for wave equations in second order form. The approximation properties of the resulting method are excellent and the allowable time steps ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d6eeaaf388448bee6698057dfd1ac79
http://arxiv.org/abs/2105.01722
http://arxiv.org/abs/2105.01722
We extend and analyze the energy-based discontinuous Galerkin method for second order wave equations on staggered and structured meshes. By combining spatial staggering with local time-stepping near boundaries, the method overcomes the typical numeri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b099d80be41b02dc39891193871a49ad
Autor:
Thomas Hagstrom, John LaGrone
Publikováno v:
2020 International Applied Computational Electromagnetics Society Symposium (ACES).
We describe the construction, analysis, and implementation of arbitrary-order local radiation boundary condition sequences for Maxwell's equations. In particular we use the complete radiation boundary conditions which implicitly apply uniformly accur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::80f14cdffb734d2be082b76d71cfc407
https://doi.org/10.23919/aces49320.2020.9196168
https://doi.org/10.23919/aces49320.2020.9196168