NDLI: Error estimates of a stabilized Lagrange−Galerkin scheme for the Navier−Stokes equations

Content Provider	EDP Sciences
Author	Hirofumi Notsu Masahisa Tabata
Abstract	Error estimates with optimal convergence orders are proved for a stabilized Lagrange−Galerkin scheme for the Navier−Stokes equations. The scheme is a combination of Lagrange−Galerkin method and Brezzi−Pitkäranta’s stabilization method. It maintains the advantages of both methods; (i) It is robust for convection-dominated problems and the system of linear equations to be solved is symmetric. (ii) Since the P1 finite element is employed for both velocity and pressure, the number of degrees of freedom is much smaller than that of other typical elements for the equations, e.g., P2/P1. Therefore, the scheme is efficient especially for three-dimensional problems. The theoretical convergence orders are recognized numerically by two- and three-dimensional computations.
Ending Page	380
Starting Page	361
Page Count	20
File Format	HTM / HTML PDF
ISSN	0764583X
Alternate Webpage(s)	https://www.esaim-m2an.org/articles/m2an/abs/2016/02/m2an150025/m2an150025.html
e-ISSN	12903841
Issue Number	2
Journal	ESAIM: Mathematical Modelling and Numerical Analysis
Volume Number	50
DOI	10.1051/m2an/2015047
Language	English
Publisher	EDP Sciences
Publisher Date	2016-03-01
Access Restriction	Subscribed
Rights Holder	© EDP Sciences, SMAI 2016
Subject Keyword	Error estimates the finite element method the Lagrange−Galerkin method pressure-stabilization the Navier−Stokes equations Error estimates / the finite element method / the Lagrange−Galerkin method / pressure-stabilization / the Navier−Stokes equations Stability and convergence of numerical methods Method of characteristics Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods Navier-Stokes equations Finite element methods
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Error estimates of a stabilized Lagrange-Galerkin scheme for the Navier-Stokes equations

Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part I: A nonlinear scheme

Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part II: A linear scheme

Convergence Analysis of a Finite Element Projection/Lagrange--Galerkin Method for the Incompressible Navier--Stokes Equations

A Second Order in Time Modified Lagrange--Galerkin Finite Element Method for the Incompressible Navier--Stokes Equations

A Lagrange-Galerkin scheme with a locally linearized velocity for the Navier--Stokes equations

Modified Lagrange--Galerkin Methods to Integrate Time Dependent Incompressible Navier--Stokes Equations

Error estimates for a numerical method for the compressible Navier–Stokes system on sufficiently smooth domains

Quasi-Optimal Error Estimates for the Incompressible Navier-Stokes Problem Discretized by Finite Element Methods and Pressure-Correction Projection with Velocity Stabilization

Error estimates of a stabilized Lagrange−Galerkin scheme for the Navier−Stokes equations

Similar Documents

Error estimates of a stabilized Lagrange-Galerkin scheme for the Navier-Stokes equations

Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part I: A nonlinear scheme

Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part II: A linear scheme

Convergence Analysis of a Finite Element Projection/Lagrange--Galerkin Method for the Incompressible Navier--Stokes Equations

A Second Order in Time Modified Lagrange--Galerkin Finite Element Method for the Incompressible Navier--Stokes Equations

A Lagrange-Galerkin scheme with a locally linearized velocity for the Navier--Stokes equations

Modified Lagrange--Galerkin Methods to Integrate Time Dependent Incompressible Navier--Stokes Equations

Error estimates for a numerical method for the compressible Navier–Stokes system on sufficiently smooth domains

Quasi-Optimal Error Estimates for the Incompressible Navier-Stokes Problem Discretized by Finite Element Methods and Pressure-Correction Projection with Velocity Stabilization

Error estimates of a stabilized Lagrange−Galerkin scheme for the Navier−Stokes equations