Finite-Element Methods for Singularly Perturbed Elliptic Boundary Value Problems and its Application to the Stationary Navier-Stokes Equations

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/333 ◽

1989 ◽

Vol 8 (1) ◽

pp. 13-23

Author(s):

Herbert Goering ◽

Lutz Tobiska

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Finite Element Methods ◽

Stokes Equations ◽

Elliptic Boundary ◽

Singularly Perturbed ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Elliptic Boundary Value ◽

Stationary Navier Stokes Equations

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Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems I: Reaction-diffusion Type

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(97)00279-4 ◽

1998 ◽

Vol 35 (3) ◽

pp. 57-70 ◽

Author(s):

J. Li ◽

I.M. Navon

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Finite Element Methods ◽

Elliptic Boundary ◽

Reaction Diffusion ◽

Elliptic Boundary Value Problems ◽

Singularly Perturbed ◽

Diffusion Type ◽

Elliptic Boundary Value ◽

Uniformly Convergent

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Investigations on two kinds of two-level stabilized finite element methods for the stationary Navier–Stokes equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.05.034 ◽

2006 ◽

Vol 182 (2) ◽

pp. 1470-1481 ◽

Author(s):

Jian Li

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Stabilized Finite Element Methods ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Stationary Navier Stokes Equations

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Two-level defect-correction Oseen iterative stabilized finite element methods for the stationary Navier–Stokes equations

Applied Mathematical Modelling ◽

10.1016/j.apm.2012.02.051 ◽

2013 ◽

Vol 37 (3) ◽

pp. 728-741 ◽

Author(s):

Pengzhan Huang ◽

Xinlong Feng ◽

Yinnian He

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Defect Correction ◽

Stabilized Finite Element Methods ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Stationary Navier Stokes Equations

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Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: convection—diffusion type

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(97)00329-0 ◽

1998 ◽

Vol 162 (1-4) ◽

pp. 49-78 ◽

Author(s):

Jichun Li ◽

I.M. Navon

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Finite Element Methods ◽

Elliptic Boundary ◽

Elliptic Boundary Value Problems ◽

Singularly Perturbed ◽

Diffusion Type ◽

Elliptic Boundary Value ◽

Convection Diffusion ◽

Uniformly Convergent

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A new non-overlapping domain decomposition method for stabilized finite element methods applied to the non-stationary Navier-Stokes equations

Numerical Linear Algebra with Applications ◽

10.1002/1099-1506(200009)7:6<449::aid-nla205>3.0.co;2-3 ◽

2000 ◽

Vol 7 (6) ◽

pp. 449-472 ◽

Author(s):

G. Lube ◽

L. M�ller ◽

H. M�ller

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Decomposition Method ◽

Stokes Equations ◽

Domain Decomposition Method ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Overlapping Domain Decomposition ◽

Stationary Navier Stokes Equations

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On conforming finite element methods for the inhomogeneous stationary Navier-Stokes equations

Numerische Mathematik ◽

10.1007/bf01395310 ◽

1983 ◽

Vol 42 (2) ◽

pp. 173-194 ◽

Author(s):

Max D. Gunzburger ◽

Janet S. Peterson

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Conforming Finite Element ◽

Stationary Navier Stokes Equations

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Mixed Finite Element Methods for Incompressible Flow: Stationary Navier–Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/080718413 ◽

2010 ◽

Vol 48 (1) ◽

pp. 79-94 ◽

Author(s):

Zhiqiang Cai ◽

Chunbo Wang ◽

Shun Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Incompressible Flow ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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Global uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: higher-order elements

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(98)00243-6 ◽

1999 ◽

Vol 171 (1-2) ◽

pp. 1-23 ◽

Author(s):

Jichun Li ◽

I.M. Navon

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Finite Element Methods ◽

Elliptic Boundary ◽

Boundary Value ◽

Higher Order ◽

Elliptic Boundary Value Problems ◽

Singularly Perturbed ◽

Elliptic Boundary Value ◽

Uniformly Convergent

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A review of some finite element methods to solve the stationary Navier-Stokes equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1650050306 ◽

1985 ◽

Vol 5 (3) ◽

pp. 269-280 ◽

Author(s):

A. Segal

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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Corrigendum to “Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems I: Reaction–diffusion type” [Comput. Math. Appl. 35 (3) (1998) 57–70]

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2010.03.026 ◽

2010 ◽

Vol 59 (10) ◽

pp. 3374-3376

Author(s):

Jichun Li

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Finite Element Methods ◽

Elliptic Boundary ◽

Reaction Diffusion ◽

Elliptic Boundary Value Problems ◽

Singularly Perturbed ◽

Diffusion Type ◽

Elliptic Boundary Value ◽

Uniformly Convergent

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