Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Gunar Matthies"'
Autor:
Simon Becher, Gunar Matthies
Publikováno v:
BIT Numerical Mathematics. 61:721-755
We consider a family of variational time discretizations that are generalizations of discontinuous Galerkin (dG) and continuous Galerkin-Petrov (cGP) methods. The family is characterized by two parameters. One describes the polynomial ansatz order wh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9bc6313ad6dcaeb99297374717fa79fb
https://doi.org/10.1007/s10543-021-00851-6
https://doi.org/10.1007/s10543-021-00851-6
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 54:2099-2123
We introduce and analyze families of Galerkin–collocation discretization schemes in time for the wave equation. Their conceptual basis is the establishment of a connection between the Galerkin method for the time discretization and the classical co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1e8a0210148be53038b2aa70ad6acf4e
https://doi.org/10.1051/m2an/2020033
https://doi.org/10.1051/m2an/2020033
Autor:
Gunar Matthies, Naveed Ahmed
Publikováno v:
IMA Journal of Numerical Analysis. 41:3113-3144
Discontinuous Galerkin methods of higher order are applied as temporal discretizations for the transient Navier–Stokes equations. The spatial discretization based on inf–sup stable pairs of finite element spaces is stabilized using a one-level lo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5df63107e5b81dfdb3390a1786af0c7b
https://doi.org/10.1093/imanum/draa053
https://doi.org/10.1093/imanum/draa053
Autor:
Gunar Matthies, Simon Becher
We present a unified analysis for a family of variational time discretization methods, including discontinuous Galerkin methods and continuous Galerkin-Petrov methods, applied to non-stiff initial value problems. Besides the well-definedness of the m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7961cf040dc4363aca35104f35fe153e
http://arxiv.org/abs/2105.06862
http://arxiv.org/abs/2105.06862
Publikováno v:
Applied Mathematics and Computation. 333:304-324
A local projection stabilization (LPS) method in space is considered to approximate the evolutionary Oseen equations. Optimal error bounds with constants independent of the viscosity parameter are obtained in the continuous-in-time case for both the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::06cb40ffc81153a36fa6b82aac09d661
https://doi.org/10.1016/j.amc.2018.03.088
https://doi.org/10.1016/j.amc.2018.03.088
Autor:
Sebastian Franz, Gunar Matthies
Publikováno v:
Mathematics of Computation. 87:2113-2132
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::555476d12e725d0a8409528c603ff236
https://doi.org/10.1090/mcom/3326
https://doi.org/10.1090/mcom/3326
Publikováno v:
IMA Journal of Numerical Analysis. 38:299-329
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e8e55bbe703de8bd37b4e72390ab7c9
https://doi.org/10.1093/imanum/drw069
https://doi.org/10.1093/imanum/drw069
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 50:289-309
Standard mixed finite element methods for the incompressible Navier–Stokes equations that relax the divergence constraint are not robust against large irrotational forces in the momentum balance and the velocity error depends on the continuous pres
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5d22cf4db09ba3a9332a7c57eebe06fd
https://doi.org/10.1051/m2an/2015044
https://doi.org/10.1051/m2an/2015044
Publikováno v:
Advanced Computing in Industrial Mathematics ISBN: 9783319972763
Starting from the well-known discontinuous Galerkin (dG) and continuous Galerkin-Petrov (cGP) time discretization schemes we derive a general class of variational time discretization methods providing the possibility for higher regularity of the nume
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e1737d93fb198abb9c3fbbf640cd04d
https://doi.org/10.1007/978-3-319-97277-0_6
https://doi.org/10.1007/978-3-319-97277-0_6
Autor:
Gunar Matthies, Naveed Ahmed
Publikováno v:
Journal of Scientific Computing. 67:988-1018
This paper considers the numerical solution of time-dependent linear convection---diffusion---reaction equations. We shall employ combinations of streamline-upwind Petrov---Galerkin and local projection stabilization methods in space with the higher
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e7556f68e6bb1be7115e29dce2bf411
https://doi.org/10.1007/s10915-015-0115-3
https://doi.org/10.1007/s10915-015-0115-3