A generalized multiscale finite element method for the Brinkman equation

Galvis, Juan; Li, Guanglian; Shi, Ke

doi:10.1016/j.cam.2014.11.038

Title: A generalized multiscale finite element method for the Brinkman equation

Full Record
Other Related Research

Authors:

; Li, Guanglian; Shi, Ke

Publication Date:: Fri May 01 00:00:00 EDT 2015

Sponsoring Org.:: USDOE

OSTI Identifier:: 1512809

Alternate Identifier(s):: OSTI ID: 1249938

Resource Type:: Published Article

Journal Name:: Journal of Computational and Applied Mathematics

Additional Journal Information:: Journal Name: Journal of Computational and Applied Mathematics Journal Volume: 280 Journal Issue: C; Journal ID: ISSN 0377-0427

Publisher:: Elsevier

Country of Publication:: Belgium

Language:: English

Citation Formats


                    Galvis, Juan, Li, Guanglian, and Shi, Ke. A generalized multiscale finite element method for the Brinkman equation.  Belgium: N. p., 2015. 
Web.  doi:10.1016/j.cam.2014.11.038.

Copy to clipboard


                    Galvis, Juan, Li, Guanglian, & Shi, Ke. A generalized multiscale finite element method for the Brinkman equation.  Belgium.  https://doi.org/10.1016/j.cam.2014.11.038

Copy to clipboard


                    Galvis, Juan, Li, Guanglian, and Shi, Ke. Fri .  
"A generalized multiscale finite element method for the Brinkman equation".  Belgium.  https://doi.org/10.1016/j.cam.2014.11.038.

Copy to clipboard


                    
@article{osti_1512809,

  title        = {A generalized multiscale finite element method for the Brinkman equation},

  author       = {Galvis, Juan and Li, Guanglian and Shi, Ke},

  abstractNote = {},

  doi          = {10.1016/j.cam.2014.11.038},

  journal      = {Journal of Computational and Applied Mathematics},

  number       = C,

  volume       = 280,

  place        = {Belgium},

  year         = {Fri May 01 00:00:00 EDT 2015},

  month        = {Fri May 01 00:00:00 EDT 2015}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Publisher's Version of Record
https://doi.org/10.1016/j.cam.2014.11.038

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 15 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Similar Records in DOE PAGES and OSTI.GOV collections:

Generalized multiscale finite element methods for space–time heterogeneous parabolic equations

Journal Article Chung, Eric T. ; Efendiev, Yalchin ; Leung, Wing Tat ; ... - Computers and Mathematics with Applications (Oxford)

Not provided.
https://doi.org/10.1016/j.camwa.2018.04.028
Constraint energy minimizing generalized multiscale finite element method for multi-continuum Richards equations

Journal Article Mai, Tina ; Cheung, Siu Wun ; Park, Jun Sur Richard - Journal of Computational Physics

In fluid flow simulation, the multi-continuum model is a useful strategy. When the heterogeneity and contrast of coefficients are high, the system becomes multiscale, and some kinds of reduced order methods are demanded. Combining these techniques with nonlinearity, we will consider in this paper a dual-continuum model which is generalized as a multi-continuum model for a coupled system of nonlinear Richards equations as unsaturated flows, in complex heterogeneous fractured porous media; and we will solve it by a novel multiscale approach utilizing the constraint energy minimizing generalized multiscale finite element method (CEM-GMsFEM). In particular, such a nonlinear system will bemore »« less
https://doi.org/10.1016/j.jcp.2023.111915

Full Text Available
Generalized multiscale finite element methods for space–time heterogeneous parabolic equations

Journal Article Chung, Eric T. ; Efendiev, Yalchin ; Leung, Wing Tat ; ... - Computers and Mathematics with Applications (Oxford)
Cited by 7
https://doi.org/10.1016/j.camwa.2018.04.028
Adaptive multiscale model reduction with Generalized Multiscale Finite Element Methods

Journal Article Chung, Eric ; Efendiev, Yalchin ; Hou, Thomas Y. - Journal of Computational Physics
Cited by 137
https://doi.org/10.1016/j.jcp.2016.04.054
A multiscale control volume finite element method for advection–diffusion equations

Journal Article Bochev, Pavel ; Peterson, Kara ; Perego, Mauro - International Journal for Numerical Methods in Fluids

Summary We present a new stabilized method for advection–diffusion equations, which combines a control volume FEM formulation of the governing equations with a novel multiscale approximation of the total flux. The latter incorporates information about the exact solution that cannot be represented on the mesh. To define this flux, we solve the governing equations along suitable mesh segments under the assumption that the flux varies linearly along these segments. This procedure yields second‐order accurate fluxes on the edges of the mesh. Then, we use curl‐conforming elements of the same order to lift these edge fluxes into the mesh elements. Inmore »« less
Cited by 6
https://doi.org/10.1002/fld.3998

Similar Records