Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Papež, Jan"'
In this work, we develop algebraic solvers for linear systems arising from the discretization of second-order elliptic problems by saddle-point mixed finite element methods of arbitrary polynomial degree $p \ge 0$. We present a multigrid and a two-le
Externí odkaz:
http://arxiv.org/abs/2406.09872
Multilevel methods represent a powerful approach in numerical solution of partial differential equations. The multilevel structure can also be used to construct estimates for total and algebraic errors of computed approximations. This paper deals wit
Externí odkaz:
http://arxiv.org/abs/2405.06532
Autor:
Papež, Jan, Tichý, Petr
In [Meurant, Pape\v{z}, Tich\'y; Numerical Algorithms 88, 2021], we presented an adaptive estimate for the energy norm of the error in the conjugate gradient (CG) method. In this paper, we extend the estimate to algorithms for solving linear approxim
Externí odkaz:
http://arxiv.org/abs/2305.02044
In practical computations, the (preconditioned) conjugate gradient (P)CG method is the iterative method of choice for solving systems of linear algebraic equations $Ax=b$ with a real symmetric positive definite matrix $A$. During the iterations it is
Externí odkaz:
http://arxiv.org/abs/2101.03931
Autor:
Česká, Katarína, Papež, Jan, Ošlejšková, Hana, Slabý, Ondřej, Radová, Lenka, Loja, Tomáš, Libá, Zuzana, Svěráková, Anna, Brázdil, Milan, Aulická, Štefánia
Publikováno v:
In European Journal of Paediatric Neurology September 2023 46:48-54
Autor:
Papež, Jan
Title: Algebraic Error in Matrix Computations in the Context of Numerical Solution of Partial Differential Equations Author: Jan Papež Department: Department of Numerical Mathematics Supervisor: prof. Ing. Zdeněk Strakoš, DrSc., Department of Nume
Externí odkaz:
http://www.nusl.cz/ntk/nusl-267941
Autor:
Papež, Jan1,2 (AUTHOR), Labounek, René3 (AUTHOR), Jabandžiev, Petr1 (AUTHOR), Česká, Katarína2 (AUTHOR), Slabá, Kateřina1 (AUTHOR), Ošlejšková, Hana2 (AUTHOR), Aulická, Štefania2,4 (AUTHOR) stefania.aulicka@gmail.com, Nestrašil, Igor3 (AUTHOR) nestr007@umn.edu
Publikováno v:
Scientific Reports. 11/20/2023, Vol. 13 Issue 1, p1-12. 12p.
Autor:
Papež, Jan, Tichý, Petr
Publikováno v:
Numerical Algorithms; Sep2024, Vol. 97 Issue 1, p1-28, 28p
Autor:
Papež, Jan
Title: Estimation of the algebraic error and stopping criteria in numerical solution of partial differential equations Author: Jan Papež Department: Department of Numerical Mathematics Supervisor of the master thesis: Zdeněk Strakoš Abstract: Afte
Externí odkaz:
http://www.nusl.cz/ntk/nusl-313457
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 November 2020 371