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pro vyhledávání: '"Bernardo Cockburn"'
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Publikováno v:
Mathematics in Engineering, Vol 6, Iss 2, Pp 221-237 (2024)
We show how to reduce the computational time of the practical implementation of the Raviart-Thomas mixed method for second-order elliptic problems. The implementation takes advantage of a recent result which states that certain local subspaces of the
Externí odkaz:
https://doaj.org/article/40b060694b45428bbcd51d36e78cdbe7
Publikováno v:
Journal of Scientific Computing. 77:1303-1309
We present this special issue of the Journal of Scientific Computing to celebrate Bernardo Cockburn’s sixtieth birthday. The theme of this issue is discontinuous Galerkin methods, a hallmark of Bernardo’s distinguished professional career. This f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3eaf9ac237ba6573c3f1e2a1844616c7
https://doi.org/10.1007/s10915-018-0845-0
https://doi.org/10.1007/s10915-018-0845-0
Publikováno v:
Frontiers in Applied Mathematics and Statistics, Vol 9 (2023)
We provide a short introduction to the devising of a special type of methods for numerically approximating the solution of Hamiltonian partial differential equations. These methods use Galerkin space-discretizations which result in a system of ODEs d
Externí odkaz:
https://doaj.org/article/88db57fb75364cce9e38c5251bc49a9c
Autor:
Bernardo Cockburn, Jiguang Shen
Publikováno v:
Results in Applied Mathematics, Vol 1, Iss , Pp - (2019)
It is now a well known fact that hybridizable discontinuous Galerkin for nonlinear elasticity may not converge to the exact solution if their inter-element jumps are not properly penalized or, equivalently, if the values of their stabilization functi
Externí odkaz:
https://doaj.org/article/ad6c8ddff6d34cf4a6e65c8ec8256ea2
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis.
We present the first a priori error analysis of a class of space-discretizations by Hybridizable Discontinuous Galerkin (HDG) methods for the time-dependent Maxwell's equations introduced in Comput. Methods Appl. Mech. Engrg., vol. 396, paper. No. 11
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36e1c3822a5cb0d47eaa29e81f8dad22
https://doi.org/10.1051/m2an/2023048
https://doi.org/10.1051/m2an/2023048
Publikováno v:
Computational Methods in Applied Mathematics. 22:775-796
We present a new class of discontinuous Galerkin methods for the space discretization of the time-dependent Maxwell equations whose main feature is the use of time derivatives and/or time integrals in the stabilization part of their numerical traces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::15d788aafa0fa77025354cc41937b264
https://doi.org/10.1515/cmam-2021-0215
https://doi.org/10.1515/cmam-2021-0215
Autor:
Bernardo Cockburn
Publikováno v:
SeMA Journal. 79:37-56
Franciso Javier Sayas, man of grit and determination, left his hometown of Zaragoza in 2007 in pursuit of a dream, to become a scholar in the USA. I hosted him in Minneapolis, where he spent three long years of an arduous transition before obtaining
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2e1fbc1ec8ee2871e9aeb93f262bc08
https://doi.org/10.1007/s40324-021-00273-y
https://doi.org/10.1007/s40324-021-00273-y
Autor:
Shiqiang Xia, Bernardo Cockburn
Publikováno v:
IMA Journal of Numerical Analysis. 42:1050-1086
We present the first a priori error analysis of a new method proposed in Cockburn & Wang (2017, Adjoint-based, superconvergent Galerkin approximations of linear functionals. J. Comput. Sci., 73, 644–666), for computing adjoint-based, super-converge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::32f61d0c9413dbc39a58812bfbd6171c
https://doi.org/10.1093/imanum/draa102
https://doi.org/10.1093/imanum/draa102
Autor:
Marta Benítez, Bernardo Cockburn
Publikováno v:
IMA Journal of Numerical Analysis. 42:54-77
We analyze a technique to improve the spatial accuracy, by the single application at the end of the simulation of a local post-processing, for pure Lagrange–Galerkin (PLG) methods applied to evolutionary convection-diffusion (possibly pure convecti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::94da205047e0bf00c6638bfe2fda8d35
https://doi.org/10.1093/imanum/draa076
https://doi.org/10.1093/imanum/draa076