An asymptotic behavior and a posteriori error estimates for the generalized Schwartz method of advection-diffusion equation

Salah BOULAARAS; Mohammed Said TOUATI BRAHIM; Smail BOUZENADA; Abderrahmane ZARAI

doi:10.1016/s0252-9602(18)30810-5

An asymptotic behavior and a posteriori error estimates for the generalized Schwartz method of advection-diffusion equation

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30810-5 ◽

2018 ◽

Vol 38 (4) ◽

pp. 1227-1244 ◽

Cited By ~ 2

Author(s):

Salah BOULAARAS ◽

Mohammed Said TOUATI BRAHIM ◽

Smail BOUZENADA ◽

Abderrahmane ZARAI

Keyword(s):

Asymptotic Behavior ◽

Diffusion Equation ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Advection Diffusion Equation ◽

Advection Diffusion

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Stabilized element residual method (SERM): A posteriori error estimation for the advection-diffusion equation

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(96)00014-3 ◽

1996 ◽

Vol 74 (1-2) ◽

pp. 3-17 ◽

Cited By ~ 8

Author(s):

Amit N. Agarwal ◽

Peter M. Pinsky

Keyword(s):

Diffusion Equation ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Residual Method ◽

Advection Diffusion Equation ◽

Advection Diffusion

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A posteriori error estimates for the generalized Schwarz method of a new class of advection-diffusion equation with mixed boundary condition

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5092 ◽

2018 ◽

Vol 41 (14) ◽

pp. 5493-5505 ◽

Cited By ~ 2

Author(s):

Salah Boulaaras ◽

Mohammed Said Touati Brahim ◽

Smail Bouzenada

Keyword(s):

Boundary Condition ◽

Mixed Boundary Condition ◽

Mixed Boundary ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

New Class ◽

Advection Diffusion Equation ◽

Advection Diffusion

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A posteriori error estimates for weak Galerkin methods for second order elliptic problems on polygonal meshes

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.12.005 ◽

2021 ◽

Vol 161 ◽

pp. 510-524

Author(s):

Shipeng Xu

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

Second Order ◽

Galerkin Methods ◽

A Posteriori ◽

Weak Galerkin ◽

A Posteriori Error ◽

Second Order Elliptic Problems

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A Posteriori Error Estimates for Numerical Solutions to Hyperbolic Conservation Laws

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-021-01653-4 ◽

2021 ◽

Author(s):

Alberto Bressan ◽

Maria Teresa Chiri ◽

Wen Shen

Keyword(s):

Conservation Laws ◽

Error Estimates ◽

Hyperbolic Conservation Laws ◽

Numerical Solutions ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Hyperbolic Conservation

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Fully discrete a posteriori error estimates for parabolic integro-differential equations using the two-step backward differentiation formula

BIT Numerical Mathematics ◽

10.1007/s10543-021-00866-z ◽

2021 ◽

Author(s):

G. Murali Mohan Reddy

Keyword(s):

Differential Equations ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

Differentiation Formula ◽

A Posteriori Error ◽

Fully Discrete ◽

Backward Differentiation Formula

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Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2010.03.024 ◽

2011 ◽

Vol 200 (37-40) ◽

pp. 2782-2795 ◽

Cited By ~ 42

Author(s):

Linda El Alaoui ◽

Alexandre Ern ◽

Martin Vohralík

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Nonlinear Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Linearization Errors

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Maximum norm a posteriori error estimates for a 1D singularly perturbed semilinear reaction-diffusion problem

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drl020 ◽

2006 ◽

Vol 27 (3) ◽

pp. 576-592 ◽

Cited By ~ 16

Author(s):

N. Kopteva

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Maximum Norm ◽

A Posteriori ◽

A Posteriori Error

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Functional a posteriori error estimates for incremental models in elasto-plasticity

Central European Journal of Mathematics ◽

10.2478/s11533-009-0035-2 ◽

2009 ◽

Vol 7 (3) ◽

pp. 506-519 ◽

Cited By ~ 8

Author(s):

Sergey I. Repin ◽

Jan Valdman

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Elasto Plasticity

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A posteriori error estimates for the Crank--Nicolson method for parabolic equations

Mathematics of Computation ◽

10.1090/s0025-5718-05-01800-4 ◽

2005 ◽

Vol 75 (254) ◽

pp. 511-532 ◽

Cited By ~ 58

Author(s):

Georgios Akrivis ◽

Charalambos Makridakis ◽

Ricardo H. Nochetto

Keyword(s):

Error Estimates ◽

Parabolic Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Crank Nicolson

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Residual type a posteriori error estimates for elliptic obstacle problems

Numerische Mathematik ◽

10.1007/s002110050009 ◽

2000 ◽

Vol 84 (4) ◽

pp. 527-548 ◽

Cited By ~ 107

Author(s):

Zhiming Chen ◽

Ricardo H. Nochetto

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Type A ◽

Posteriori Error ◽

Obstacle Problems ◽

A Posteriori ◽

A Posteriori Error

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