Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Norikazu Saito"'
Autor:
Yuki Chiba, Norikazu Saito
Publikováno v:
Numerical Methods for Partial Differential Equations.
We prove several optimal-order error estimates for a finite-element method applied to an inhomogeneous Robin boundary value problem (BVP) for the Poisson equation defined in a smooth bounded domain in $\mathbb{R}^n$, $n=2,3$. The boundary condition i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::005392f5e6b3e6fdcbb888e1caca45d3
https://doi.org/10.1002/num.23038
https://doi.org/10.1002/num.23038
Publikováno v:
IFAC Journal of Systems and Control. :100217
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f44e6c6f73e8bb0619e15b4d6848ebf0
https://doi.org/10.1016/j.ifacsc.2023.100217
https://doi.org/10.1016/j.ifacsc.2023.100217
Autor:
Norikazu Saito
Publikováno v:
IMA Journal of Numerical Analysis. 41:1267-1292
The discontinuous Galerkin (DG) time-stepping method applied to abstract evolution equation of parabolic type is studied using a variational approach. We establish the inf-sup condition or Babu\v{s}ka--Brezzi condition for the DG bilinear form. Then,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::605c1f320bf0a8cf958ac841b699c507
https://doi.org/10.1093/imanum/draa017
https://doi.org/10.1093/imanum/draa017
An iterative finite difference scheme for mean field games (MFGs) is proposed. The target MFGs are derived from control problems for multidimensional systems with advection terms. For such MFGs, linearization using the Cole-Hopf transformation and it
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c707d168d22c0c0e2c54f9c5157a80d5
Autor:
Norikazu Saito, Yuki Ueda
Publikováno v:
Journal of Computational and Applied Mathematics. 358:266-278
We study the successive projection technique with B-splines proposed by Takizawa and Tezduyar in 2014 (Computational Mechanics, vol. 53). The projection is considered for X -valued functions with a Banach space X . Stability and error estimates in th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9636f4df19a41acf2caf13ad655c6e14
https://doi.org/10.1016/j.cam.2019.03.026
https://doi.org/10.1016/j.cam.2019.03.026
When controlling multi-agent systems, the trade-off between performance and scalability is a major challenge. Here, we address this difficulty by using mean field games (MFGs), which is a framework that deduces the macroscopic dynamics describing the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed3702d6c9e2a7af6b2ae01fa8932fd0
http://arxiv.org/abs/2004.07994
http://arxiv.org/abs/2004.07994
Autor:
Yoshiki Sugitani, Norikazu Saito
Publikováno v:
Numerical Methods for Partial Differential Equations. 35:181-199
Convergence results for the immersed boundary method applied to a model Stokes problem with the homogeneous Dirichlet boundary condition are presented. As a discretization method, we deal with the finite element method. First, the immersed force fiel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::243cdff1d0f86b2428ecd142a207c204
https://doi.org/10.1002/num.22296
https://doi.org/10.1002/num.22296
Autor:
Masasru Miyashita, Norikazu Saito
Publikováno v:
Journal of Scientific Computing. 76:1657-1673
New hybridized discontinuous Galerkin (HDG) methods for the interface problem for elliptic equations are proposed. Unknown functions of our schemes are $u_h$ in elements and $\hat{u}_h$ on inter-element edges. That is, we formulate our schemes withou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9a3a215037688dd6ded299c8f85c74be
https://doi.org/10.1007/s10915-018-0678-x
https://doi.org/10.1007/s10915-018-0678-x
Autor:
Tomoya Kemmochi, Norikazu Saito
Publikováno v:
Numerische Mathematik. 138:905-937
Maximal regularity is a fundamental concept in the theory of partial differential equations. In this paper, we establish a fully discrete version of maximal regularity for a parabolic equation. We derive various stability results in $L^p(0,T;L^q(\Ome
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cfd31748c68dbf9ed5a2c4256e457370
https://doi.org/10.1007/s00211-017-0929-z
https://doi.org/10.1007/s00211-017-0929-z
Publikováno v:
The Proceedings of the Materials and Mechanics Conference. 2021:OS1609
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::adcf528aa38afd8fca838c02d9c34ede
https://doi.org/10.1299/jsmemm.2021.os1609
https://doi.org/10.1299/jsmemm.2021.os1609