A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods

Lin, Guang; Liu, Jiangguo; Sadre-Marandi, Farrah

doi:10.1016/j.cam.2014.06.024

Title: A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods

Full Record
Other Related Research

Authors:

; Liu, Jiangguo; Sadre-Marandi, Farrah

Publication Date:: Thu Jan 01 00:00:00 EST 2015

Sponsoring Org.:: USDOE

OSTI Identifier:: 1489171

Alternate Identifier(s):: OSTI ID: 1249979

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: 273 Journal Issue: C; Journal ID: ISSN 0377-0427

Publisher:: Elsevier

Country of Publication:: Belgium

Language:: English

Citation Formats


                    Lin, Guang, Liu, Jiangguo, and Sadre-Marandi, Farrah. A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods.  Belgium: N. p., 2015. 
Web.  doi:10.1016/j.cam.2014.06.024.

Copy to clipboard


                    Lin, Guang, Liu, Jiangguo, & Sadre-Marandi, Farrah. A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods.  Belgium.  https://doi.org/10.1016/j.cam.2014.06.024

Copy to clipboard


                    Lin, Guang, Liu, Jiangguo, and Sadre-Marandi, Farrah. Thu .  
"A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods".  Belgium.  https://doi.org/10.1016/j.cam.2014.06.024.

Copy to clipboard


                    
@article{osti_1489171,

  title        = {A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods},

  author       = {Lin, Guang and Liu, Jiangguo and Sadre-Marandi, Farrah},

  abstractNote = {},

  doi          = {10.1016/j.cam.2014.06.024},

  journal      = {Journal of Computational and Applied Mathematics},

  number       = C,

  volume       = 273,

  place        = {Belgium},

  year         = {Thu Jan 01 00:00:00 EST 2015},

  month        = {Thu Jan 01 00:00:00 EST 2015}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Publisher's Version of Record
https://doi.org/10.1016/j.cam.2014.06.024

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 34 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:

A Variable Eddington Factor method for the 1-D grey radiative transfer equations with discontinuous Galerkin and mixed finite-element spatial differencing

Journal Article Lou, Jijie ; Morel, Jim E. ; Gentile, N. A. - Journal of Computational Physics

The purpose of this paper is to present a Variable Eddington Factor (VEF) method for the 1-D grey radiative transfer equations that uses a lumped linear discontinuous Galerkin spatial discretization for the Sequations together with a constant-linear mixed finite-element discretization for the VEF moment and material temperature equations. The use of independent discretizations can be particularly useful for multiphysics applications such as radiation-hydrodynamics. The VEF method is quite old, but to our knowledge, this particular combination of differencing schemes has not been previously investigated for radiative transfer. We define the scheme and present computational results. As expected, the scheme exhibitsmore »« less
Cited by 4
https://doi.org/10.1016/j.jcp.2019.05.012

Full Text Available
A hybridized formulation for the weak Galerkin mixed finite element method

Journal Article Mu, Lin ; Wang, Junping ; Ye, Xiu - Journal of Computational and Applied Mathematics

This paper presents a hybridized formulation for the weak Galerkin mixed finite element method (WG-MFEM) which was introduced and analyzed in Wang and Ye (2014) for second order elliptic equations. The WG-MFEM method was designed by using discontinuous piecewise polynomials on finite element partitions consisting of polygonal or polyhedral elements of arbitrary shape. The key to WG-MFEM is the use of a discrete weak divergence operator which is defined and computed by solving inexpensive problems locally on each element. The hybridized formulation of this paper leads to a significantly reduced system of linear equations involving only the unknowns arising frommore »« less
Cited by 15
https://doi.org/10.1016/j.cam.2016.01.004
A comparative study of shear band tracking strategies in three-dimensional finite elements with embedded weak discontinuities

Journal Article Jin, Tao ; Mourad, Hashem M. ; Bronkhorst, Curt A. - Finite Elements in Analysis and Design

We present a computational framework for the treatment of shear localization in metallic materials under dynamic loading, based on the integration of a shear band tracking strategy into an explicit 3D finite element formulation with embedded weak discontinuities. Within this computational framework, an embedded shear band’s mid-surface is represented by an iso-surface of a level set function, which is obtained by solving a heatconduction type boundary value problem (BVP). The solution of this BVP is carried out either globally over the entire problem domain, or locally at the level of individual elements in the mesh. In this paper, we presentmore »« less
Cited by 7
https://doi.org/10.1016/j.finel.2018.11.001

Full Text Available
A hybrid reconstructed discontinuous Galerkin and continuous Galerkin finite element method for incompressible flows on unstructured grids

Journal Article Pandare, Aditya K. ; Luo, Hong - Journal of Computational Physics
Cited by 9
https://doi.org/10.1016/j.jcp.2016.07.002
Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations

Book Feng, xiaobing ; Karakashian, Ohannes ; Xing, Yulong

Similar Records