A posteriori error estimates for the fractional-step -scheme for linear parabolic equations

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drq033 ◽

2011 ◽

Vol 32 (1) ◽

pp. 141-162 ◽

Author(s):

F. Karakatsani

Keyword(s):

Error Estimates ◽

Parabolic Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Fractional Step ◽

A Posteriori ◽

A Posteriori Error ◽

Linear Parabolic Equations

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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 ◽

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 ◽

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Finite Difference Methods and Spatial A Posteriori Error Estimates for Solving Parabolic Equations in Three Space Dimensions on Grids with Irregular Nodes

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142997322072 ◽

1999 ◽

Vol 36 (4) ◽

pp. 1044-1064 ◽

Author(s):

Peter K. Moore

Keyword(s):

Finite Difference ◽

Error Estimates ◽

Parabolic Equations ◽

A Posteriori Error Estimates ◽

Finite Difference Methods ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Difference Methods ◽

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A-Posteriori Error Estimates and Adaptive Finite Element Computations for Singularly Perturbed one Space Dimensional Parabolic Equations

Analytical and Numerical Approaches to Asymptotic Problems in Analysis, Proceedings ofthe Conference on Analytical and Numerical Approachesto Asymptotic Problems - North-Holland Mathematics Studies ◽

10.1016/s0304-0208(08)71111-3 ◽

1981 ◽

pp. 213-233 ◽

Author(s):

Hans-Jürgen Reinhardt

Keyword(s):

Finite Element ◽

Error Estimates ◽

Parabolic Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Singularly Perturbed ◽

Adaptive Finite Element ◽

A Posteriori ◽

A Posteriori Error

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Improved maximum-norm a posteriori error estimates for linear and semilinear parabolic equations

Advances in Computational Mathematics ◽

10.1007/s10444-017-9514-3 ◽

2017 ◽

Vol 43 (5) ◽

pp. 999-1022 ◽

Author(s):

Natalia Kopteva ◽

Torsten Linß

Keyword(s):

Error Estimates ◽

Parabolic Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Maximum Norm ◽

Semilinear Parabolic Equations ◽

A Posteriori ◽

A Posteriori Error ◽

Semilinear Parabolic

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A posteriori error estimates for optimal control problems governed by parabolic equations

Numerische Mathematik ◽

10.1007/s002110100380 ◽

2003 ◽

Vol 93 (3) ◽

pp. 497-521 ◽

Author(s):

Wenbin Liu ◽

Ningning Yan

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Parabolic Equations ◽

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error

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A posteriori error estimates for nonlinear problems:Lr, (0,T;W1,ρ (Ω))-error estimates for finite element discretizations of parabolic equations

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199807)14:4<487::aid-num4>3.0.co;2-g ◽

1998 ◽

Vol 14 (4) ◽

pp. 487-518 ◽

Author(s):

R. Verfürth

Keyword(s):

Finite Element ◽

Error Estimates ◽

Parabolic Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Finite Element Discretizations ◽

Element Discretizations

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A Posteriori Error Estimates for the Two-Step Backward Differentiation Formula Method for Parabolic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/090756995 ◽

2010 ◽

Vol 48 (1) ◽

pp. 109-132 ◽

Author(s):

Georgios Akrivis ◽

Panagiotis Chatzipantelidis

Keyword(s):

Error Estimates ◽

Parabolic Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

Differentiation Formula ◽

A Posteriori Error ◽

Backward Differentiation Formula ◽

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A posteriori error estimates of spectral method for optimal control problems governed by parabolic equations

Science in China Series A Mathematics ◽

10.1007/s11425-008-0097-9 ◽

2008 ◽

Vol 51 (8) ◽

pp. 1376-1390 ◽

Author(s):

YanPing Chen ◽

YunQing Huang ◽

NianYu Yi

Keyword(s):

Optimal Control ◽

Spectral Method ◽

Error Estimates ◽

Parabolic Equations ◽

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error

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A posteriori error estimates for nonlinear problems. $L^r(0,T;L^\rho(\Omega))$-error estimates for finite element discretizations of parabolic equations

Mathematics of Computation ◽

10.1090/s0025-5718-98-01011-4 ◽

1998 ◽

Vol 67 (224) ◽

pp. 1335-1361 ◽

Author(s):

R. Verfürth

Keyword(s):

Finite Element ◽

Error Estimates ◽

Parabolic Equations ◽

A Posteriori Error Estimates ◽

Nonlinear Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Finite Element Discretizations ◽

Element Discretizations

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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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