Error bounds for the finite element approximation of a degenerate quasilinear parabolic variational inequality

W. B. Liu; John W. Barrett

doi:10.1007/bf02071387

Error bounds for the finite element approximation of a degenerate quasilinear parabolic variational inequality

Advances in Computational Mathematics ◽

10.1007/bf02071387 ◽

1993 ◽

Vol 1 (2) ◽

pp. 223-239 ◽

Cited By ~ 8

Author(s):

W. B. Liu ◽

John W. Barrett

Keyword(s):

Finite Element ◽

Variational Inequality ◽

Error Bounds ◽

Finite Element Approximation ◽

Element Approximation ◽

Parabolic Variational Inequality ◽

Quasilinear Parabolic

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Convergence of a finite element approximation to a degenerate parabolic variational inequality with non-smooth data arising from American option valuation

Optimization Methods and Software ◽

10.1080/10556780903049942 ◽

2010 ◽

Vol 25 (5) ◽

pp. 699-723 ◽

Cited By ~ 2

Author(s):

Guanghui Wang ◽

Song Wang

Keyword(s):

Finite Element ◽

Variational Inequality ◽

Finite Element Approximation ◽

American Option ◽

Element Approximation ◽

Option Valuation ◽

Parabolic Variational Inequality ◽

Degenerate Parabolic ◽

Smooth Data

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Quasi-norm error bounds for the finite element approximation of some degenerate quasilinear parabolic equations and variational inequalities

Numerical Functional Analysis and Optimization ◽

10.1080/01630569508816675 ◽

1995 ◽

Vol 16 (9-10) ◽

pp. 1309-1321 ◽

Cited By ~ 6

Author(s):

W. B. Liu ◽

John W. Barrett

Keyword(s):

Finite Element ◽

Variational Inequalities ◽

Error Bounds ◽

Parabolic Equations ◽

Finite Element Approximation ◽

Element Approximation ◽

Quasilinear Parabolic Equations ◽

Norm Error ◽

Quasilinear Parabolic

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An Error Estimate for a Finite-element Approximation of an Elliptic Variational Inequality Formulation of a Hele—Shaw Moving-boundary Problem

IMA Journal of Numerical Analysis ◽

10.1093/imanum/3.1.1 ◽

1983 ◽

Vol 3 (1) ◽

pp. 1-9 ◽

Cited By ~ 6

Author(s):

CHARLES M. ELLIOTT ◽

VLADIMIR JANOSKY

Keyword(s):

Finite Element ◽

Variational Inequality ◽

Error Estimate ◽

Boundary Problem ◽

Moving Boundary ◽

Finite Element Approximation ◽

Moving Boundary Problem ◽

Element Approximation ◽

Elliptic Variational Inequality

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Error Bounds for a Finite Element Approximation of a Model Vortex Problem

finite element methods ◽

10.1201/b16924-47 ◽

2016 ◽

pp. 495-504

Keyword(s):

Finite Element ◽

Error Bounds ◽

Finite Element Approximation ◽

Element Approximation

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Quasi-norm error bounds for the finite element approximation of some degenerate quasilinear elliptic equations and variational inequalities

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1994280607251 ◽

1994 ◽

Vol 28 (6) ◽

pp. 725-744 ◽

Cited By ~ 17

Author(s):

W. B. Liu ◽

John W. Barrett

Keyword(s):

Finite Element ◽

Variational Inequalities ◽

Error Bounds ◽

Elliptic Equations ◽

Finite Element Approximation ◽

Quasilinear Elliptic Equations ◽

Element Approximation ◽

Quasilinear Elliptic ◽

Norm Error

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Quasi-norm error bounds for the finite element approximation of a non-Newtonian flow

Numerische Mathematik ◽

10.1007/s002110050071 ◽

1994 ◽

Vol 68 (4) ◽

pp. 437-456 ◽

Cited By ~ 53

Author(s):

John W. Barrett ◽

W.B. Liu

Keyword(s):

Finite Element ◽

Error Bounds ◽

Finite Element Approximation ◽

Element Approximation ◽

Newtonian Flow ◽

Norm Error

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Corrigendum to “Robust error bounds for finite element approximation of reaction–diffusion problems with non-constant reaction coefficient in arbitrary space dimension” [Comput. Methods Appl. Mech. Engrg. 281 (2014) 184–199]

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2015.10.018 ◽

2016 ◽

Vol 299 ◽

pp. 143 ◽

Cited By ~ 1

Author(s):

Mark Ainsworth ◽

Tomáš Vejchodský

Keyword(s):

Finite Element ◽

Error Bounds ◽

Space Dimension ◽

Reaction Diffusion ◽

Finite Element Approximation ◽

Element Approximation ◽

Reaction Coefficient ◽

Arbitrary Space ◽

Diffusion Problems

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Finite Element Approximation of Viscoelastic Fluid Flow: Existence of Approximate Solutions and Error Bounds. Continuous Approximation of the Stress

SIAM Journal on Numerical Analysis ◽

10.1137/0731019 ◽

1994 ◽

Vol 31 (2) ◽

pp. 362-377 ◽

Cited By ~ 34

Author(s):

Dominique Sandri

Keyword(s):

Finite Element ◽

Fluid Flow ◽

Viscoelastic Fluid ◽

Error Bounds ◽

Finite Element Approximation ◽

Approximate Solutions ◽

Element Approximation ◽

Continuous Approximation

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Finite element approximation of viscoelastic fluid flow: Existence of approximate solutions and error bounds

Numerische Mathematik ◽

10.1007/bf01385845 ◽

1992 ◽

Vol 63 (1) ◽

pp. 13-27 ◽

Cited By ~ 56

Author(s):

J. Baranger ◽

D. Sandri

Keyword(s):

Finite Element ◽

Fluid Flow ◽

Viscoelastic Fluid ◽

Error Bounds ◽

Finite Element Approximation ◽

Approximate Solutions ◽

Element Approximation

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Constant free error bounds for nonuniform order discontinuous Galerkin finite-element approximation on locally refined meshes with hanging nodes

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drp025 ◽

2009 ◽

Vol 31 (1) ◽

pp. 254-280 ◽

Cited By ~ 12

Author(s):

M. Ainsworth ◽

R. Rankin

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Error Bounds ◽

Finite Element Approximation ◽

Element Approximation ◽

Galerkin Finite Element ◽

Hanging Nodes ◽

Discontinuous Galerkin Finite Element ◽

Refined Meshes ◽

Locally Refined Meshes

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