Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Son-Young Yi"'
Publikováno v:
Results in Applied Mathematics, Vol 21, Iss , Pp 100430- (2024)
This paper explores an iterative approach to solve linear thermo-poroelasticity problems, with its application as a high-fidelity discretization utilizing finite elements during the training of projection-based reduced order models. One of the main c
Externí odkaz:
https://doaj.org/article/4ecb9e88299445baaa1998c353faaa1d
Autor:
Youngmok Jeon1 yjeon@ajou.ac.kr, Son-Young Yi2 syi@utep.edu
Publikováno v:
Numerical Mathematics: Theory, Methods & Applications. May2022, Vol. 15 Issue 2, p336-359. 24p.
Publikováno v:
Computers & Mathematics with Applications. 120:115-131
We present a new enriched Galerkin (EG) scheme for the Stokes equations based on piecewise linear elements for the velocity unknowns and piecewise constant elements for the pressure. The proposed EG method augments the conforming piecewise linear spa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db60dc416295ec3d49c49a88c190b473
https://doi.org/10.1016/j.camwa.2022.06.018
https://doi.org/10.1016/j.camwa.2022.06.018
Publikováno v:
SIAM Journal on Numerical Analysis. 60:52-75
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f812d731142faab4205f6666439ce837
https://doi.org/10.1137/21m1391353
https://doi.org/10.1137/21m1391353
Autor:
Sanghyun Lee, Son-Young Yi
Publikováno v:
Journal of Scientific Computing. 94
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::08d5ba0a45a8c50e896a4e0d031bd950
https://doi.org/10.1007/s10915-022-02079-0
https://doi.org/10.1007/s10915-022-02079-0
Autor:
Son-Young Yi
Publikováno v:
Journal of Computational and Applied Mathematics. 350:286-298
The lowest-order weak Galerkin (WG) method is considered for linear elasticity based on the displacement formulation. The new method approximates the displacement using piecewise constant vector functions both inside and on the boundary of each mesh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::56f496f1cfc153205a4eb5dafcaf6f70
https://doi.org/10.1016/j.cam.2018.10.016
https://doi.org/10.1016/j.cam.2018.10.016
Publikováno v:
Applied Numerical Mathematics. 122:1-13
In this paper, we explore an efficient preconditioning method for the saddle point system resulting from a four-field mixed finite element method applied to Biot's consolidation model. The proposed preconditioner is a block diagonal preconditioner ba
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea607798729f49c1dc6cc887591d3c3b
https://doi.org/10.1016/j.apnum.2017.07.007
https://doi.org/10.1016/j.apnum.2017.07.007
Publikováno v:
SIAM Journal on Numerical Analysis; 2022, Vol. 60 Issue 1, p52-75, 24p
Autor:
Son-Young Yi
Publikováno v:
SIAM Journal on Numerical Analysis. 55:1915-1936
In this paper, we study two modes of locking phenomena in poroelasticity: Possion locking and pressure oscillations. We first study the regularity of the solution of the Biot model to gain some insight into the cause of Poisson locking and show that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::117de1be9c3d0a4884bca799d04ae2aa
https://doi.org/10.1137/16m1056109
https://doi.org/10.1137/16m1056109
Autor:
Son-Young Yi, Maranda Bean
Publikováno v:
International Journal for Numerical and Analytical Methods in Geomechanics. 41:159-179
Summary In this paper, we consider numerical algorithms for modeling of the time-dependent coupling between the fluid flow and deformation in elastic porous media. Here, we employ a four-field formulation which uses the total stress, displacement, fl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41d69295779641918b3b03dde47eeed4
https://doi.org/10.1002/nag.2538
https://doi.org/10.1002/nag.2538