A nonlinear weak constraint enforcement method for advection-dominated diffusion problems

Roberto J. Cier; Sergio Rojas; Victor M. Calo

doi:10.1016/j.mechrescom.2020.103602

A nonlinear weak constraint enforcement method for advection-dominated diffusion problems

Roberto J. Cier
, Sergio Rojas
, Victor M. Calo

Research output: Contribution to journal › Article › Research › peer-review

12 Citations (Scopus)

Abstract

We devise a stabilized method to weakly enforce bound constraints in the discrete solution of advection-dominated diffusion problems. This method combines a nonlinear penalty formulation with a discontinuous Galerkin-based residual minimization method. We illustrate the efficiency of this scheme for both uniform and adaptive meshes through proper numerical examples.

Original language	English
Article number	103602
Number of pages	7
Journal	Mechanics Research Communications
Volume	112
DOIs	https://doi.org/10.1016/j.mechrescom.2020.103602
Publication status	Published - Mar 2021
Externally published	Yes

Keywords

Adaptive stabilized finite element method
Advection-difussion-reaction
Constraint enforcement
Discontinuous Galerkin method
Residual minimization

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10.1016/j.mechrescom.2020.103602

Cite this

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title = "A nonlinear weak constraint enforcement method for advection-dominated diffusion problems",

abstract = "We devise a stabilized method to weakly enforce bound constraints in the discrete solution of advection-dominated diffusion problems. This method combines a nonlinear penalty formulation with a discontinuous Galerkin-based residual minimization method. We illustrate the efficiency of this scheme for both uniform and adaptive meshes through proper numerical examples.",

keywords = "Adaptive stabilized finite element method, Advection-difussion-reaction, Constraint enforcement, Discontinuous Galerkin method, Residual minimization",

author = "Cier, \{Roberto J.\} and Sergio Rojas and Calo, \{Victor M.\}",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd",

year = "2021",

month = mar,

doi = "10.1016/j.mechrescom.2020.103602",

language = "English",

volume = "112",

journal = "Mechanics Research Communications",

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T1 - A nonlinear weak constraint enforcement method for advection-dominated diffusion problems

AU - Cier, Roberto J.

AU - Rojas, Sergio

AU - Calo, Victor M.

PY - 2021/3

Y1 - 2021/3

N2 - We devise a stabilized method to weakly enforce bound constraints in the discrete solution of advection-dominated diffusion problems. This method combines a nonlinear penalty formulation with a discontinuous Galerkin-based residual minimization method. We illustrate the efficiency of this scheme for both uniform and adaptive meshes through proper numerical examples.

AB - We devise a stabilized method to weakly enforce bound constraints in the discrete solution of advection-dominated diffusion problems. This method combines a nonlinear penalty formulation with a discontinuous Galerkin-based residual minimization method. We illustrate the efficiency of this scheme for both uniform and adaptive meshes through proper numerical examples.

KW - Adaptive stabilized finite element method

KW - Advection-difussion-reaction

KW - Constraint enforcement

KW - Discontinuous Galerkin method

KW - Residual minimization

UR - https://www.scopus.com/pages/publications/85095823631

U2 - 10.1016/j.mechrescom.2020.103602

DO - 10.1016/j.mechrescom.2020.103602

M3 - Article

AN - SCOPUS:85095823631

SN - 0093-6413

VL - 112

JO - Mechanics Research Communications

JF - Mechanics Research Communications

M1 - 103602

ER -

A nonlinear weak constraint enforcement method for advection-dominated diffusion problems

Abstract

Keywords

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