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

Peter K. Moore

doi:10.1137/s0036142997322072

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 ◽

Cited By ~ 3

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 ◽

Three Space

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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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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 ◽

Cited By ~ 2

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 Elliptic Problems in Two and Three Space Dimensions

SIAM Journal on Numerical Analysis ◽

10.1137/0733059 ◽

1996 ◽

Vol 33 (3) ◽

pp. 1188-1204 ◽

Cited By ~ 85

Author(s):

Folkmar A. Bornemann ◽

Bodo Erdmann ◽

Ralf Kornhuber

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Three Space

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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 ◽

Cited By ~ 2

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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A posteriori error estimates in finite difference techniques

Journal of Computational Physics ◽

10.1016/0021-9991(88)90077-0 ◽

1988 ◽

Vol 74 (1) ◽

pp. 214-232 ◽

Cited By ~ 5

Author(s):

D.W Kelly ◽

R.J Mills ◽

J.A Reizes ◽

A.D Miller

Keyword(s):

Finite Difference ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Finite Difference Techniques

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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 ◽

Cited By ~ 3

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 ◽

Cited By ~ 84

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 ◽

Cited By ~ 21

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 ◽

Cited By ~ 9

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 ◽

Formula Method

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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 ◽

Cited By ~ 14

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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