Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Michael Presho"'
Publikováno v:
Computational Geosciences. 25:1837-1853
In this work, we consider an online enrichment procedure in the context of the Generalized Multiscale Finite Element Method (GMsFEM) for the two-phase flow model in highly heterogeneous porous media. The coefficient of the pressure equation is referr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::607a6e68d2ad9457b536d236ecab5319
https://doi.org/10.1007/s10596-021-10074-x
https://doi.org/10.1007/s10596-021-10074-x
Autor:
Michael Presho
Publikováno v:
Computational and Applied Mathematics. 37:6738-6759
In this paper we consider a stochastic inverse flow problem with a high-contrast and stochastic permeability coefficient. This problem is solved within the context of the Markov chain Monte Carlo method in which a number of forward simulations are ne
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::63eff4d4fdeff3ac99f7a4b73c8a373e
https://doi.org/10.1007/s40314-018-0711-6
https://doi.org/10.1007/s40314-018-0711-6
Publikováno v:
Computational Geosciences. 21:187-204
The problem of multiphase phase flow in heterogeneous subsurface porous media is one involving many uncertainties. In particular, the permeability of the medium is an important aspect of the model that is inherently uncertain. Properly quantifying th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d305c4f53dc85ce615a55e0690da3569
https://doi.org/10.1007/s10596-016-9603-2
https://doi.org/10.1007/s10596-016-9603-2
Publikováno v:
International Journal of Computer Mathematics. 93:1200-1211
In this paper, we propose the use of an adapted Petrov–Galerkin PG multi-scale finite element method for solving the singularly perturbed problem. The multi-scale basis functions that form the function space are constructed from both homogeneous an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0f9f2b3aaefc1eb2fb8b8a9e49aa4f85
https://doi.org/10.1080/00207160.2015.1041935
https://doi.org/10.1080/00207160.2015.1041935
Autor:
Michael Presho, Jun Ren
Publikováno v:
Journal of Computational and Applied Mathematics. 277:202-214
In this paper, we describe a systematic framework called the Generalized Multiscale Finite Element Method (GMsFEM) for performing multiscale simulations, and we investigate the application of this framework to the high-contrast flow problems in aniso
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d88521da31f4392e62f85409ae18850
Publikováno v:
Journal of Computational and Applied Mathematics. 271:163-179
In this paper we propose a method for the accurate calculation of output quantities resulting from a parameter-dependent, single-phase flow model. In particular, given a small-dimensional set of inputs (as compared to the fine model), we treat the pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::82ca2c9c6a6df4b3d6a1a3f3d3412d18
https://doi.org/10.1016/j.cam.2014.03.022
https://doi.org/10.1016/j.cam.2014.03.022
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 48:475-491
In this paper, multiscale finite element methods (MsFEMs) and domain decomposition techniques are developed for a class of nonlinear elliptic problems with high-contrast coefficients. In the process, existing work on linear problems (Y. Efendiev, J.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fbfccd89c55f419fd6d2a70034e452bd
https://doi.org/10.1051/m2an/2013116
https://doi.org/10.1051/m2an/2013116
Publikováno v:
Communications in Computational Physics. 15:733-755
In this paper we use the GeneralizedMultiscale Finite ElementMethod (GMsFEM) framework, introduced in [20], in order to solve nonlinear elliptic equations with high-contrast coefficients. The proposed solution method involves linearizing the equation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f2d09060be4dd879efa6e336219fe2b6
https://doi.org/10.4208/cicp.020313.041013a
https://doi.org/10.4208/cicp.020313.041013a
Publikováno v:
Journal of Computational Physics. 253:226-238
We apply dynamic mode decomposition (DMD) and proper orthogonal decomposition (POD) methods to flows in highly-heterogeneous porous media to extract the dominant coherent structures and derive reduced-order models via Galerkin projection. Permeabilit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::03542e42e029d7cff26bad812b4b3505
https://doi.org/10.1016/j.jcp.2013.06.033
https://doi.org/10.1016/j.jcp.2013.06.033
Publikováno v:
Transport in Porous Media. 90:927-947
A numerical method used for solving a two-phase flow problem as found in typical oil recovery is investigated in the setting of physics-based two-level operator splitting. The governing equations involve an elliptic differential equation coupled with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5f1fa915bfe987465cc7c02c5897687f
https://doi.org/10.1007/s11242-011-9824-8
https://doi.org/10.1007/s11242-011-9824-8