Zobrazeno 1 - 10
of 117
pro vyhledávání: '"Matthies, Gunar"'
Autor:
Ahmed, Naveed, Matthies, Gunar
We present the analysis for the higher order continuous Galerkin−Petrov (cGP) time discretization schemes in combination with the one-level local projection stabilization in space applied to time-dependent convection-diffusion-reaction problems. Op
Externí odkaz:
https://tud.qucosa.de/id/qucosa%3A39044
https://tud.qucosa.de/api/qucosa%3A39044/attachment/ATT-0/
https://tud.qucosa.de/api/qucosa%3A39044/attachment/ATT-0/
Autor:
Becher, Simon, Matthies, Gunar
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:
http://arxiv.org/abs/2105.06862
Autor:
Becher, Simon, Matthies, Gunar
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:
http://arxiv.org/abs/2003.04056
Autor:
Ahmed, Naveed, Matthies, Gunar
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 stabilised using a one-level local
Externí odkaz:
http://arxiv.org/abs/1910.12599
We introduce and analyze a class of Galerkin-collocation discretization schemes in time for the wave equation. Its conceptual basis is the establishment of a direct connection between the Galerkin method for the time discretization and the classical
Externí odkaz:
http://arxiv.org/abs/1908.08238
Autor:
Wilbrandt, Ulrich, Bartsch, Clemens, Ahmed, Naveed, Alia, Najib, Anker, Felix, Blank, Laura, Caiazzo, Alfonso, Ganesan, Sashikumaar, Giere, Swetlana, Matthies, Gunar, Meesala, Raviteja, Shamim, Abdus, Venkatesan, Jagannath, John, Volker
Publikováno v:
Comput. Math. Appl. 74(1), 74-88, 2017
{\sc ParMooN} is a program package for the numerical solution of elliptic and parabolic partial differential equations. It inherits the distinct features of its predecessor {\sc MooNMD} \cite{JM04}: strict decoupling of geometry and finite element sp
Externí odkaz:
http://arxiv.org/abs/1705.08784
Autor:
Ganesan, Sashikumaar, John, Volker, Matthies, Gunar, Meesala, Raviteja, Abdus, Shamim, Wilbrandt, Ulrich
Parallel finite element algorithms based on object-oriented concepts are presented. Moreover, the design and implementation of a data structure proposed are utilized in realizing a parallel geometric multigrid method. The ParFEMapper and the ParFECom
Externí odkaz:
http://arxiv.org/abs/1609.04809
We present a three-point iterative method without memory for solving nonlinear equations in one variable. The proposed method provides convergence order eight with four function evaluations per iteration. Hence, it possesses a very high computational
Externí odkaz:
http://arxiv.org/abs/1602.07026
In this paper, we present a three-point without memory iterative method based on Kung and Traub's method for solving non-linear equations in one variable. The proposed method has eighth-order convergence and costs only four function evaluations each
Externí odkaz:
http://arxiv.org/abs/1508.01748
Autor:
FRANZ, SEBASTIAN, MATTHIES, GUNAR
Publikováno v:
Mathematics of Computation, 2018 Sep 01. 87(313), 2113-2132.
Externí odkaz:
https://www.jstor.org/stable/90021980
