A Posteriori Error Estimates Based on Hierarchical Bases

Randolph E. Bank; R. Kent Smith

doi:10.1137/0730048

A Posteriori Error Estimates Based on Hierarchical Bases

SIAM Journal on Numerical Analysis ◽

10.1137/0730048 ◽

1993 ◽

Vol 30 (4) ◽

pp. 921-935 ◽

Cited By ~ 176

Author(s):

Randolph E. Bank ◽

R. Kent Smith

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Hierarchical Bases

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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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A posteriori error estimates for FEM with violated Galerkin orthogonality

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10005 ◽

2002 ◽

Vol 18 (2) ◽

pp. 241-259 ◽

Cited By ~ 5

Author(s):

Lutz Angermann

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error

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Local A Posteriori Error Estimates for Convex Boundary Control Problems

SIAM Journal on Numerical Analysis ◽

10.1137/070680576 ◽

2009 ◽

Vol 47 (3) ◽

pp. 1886-1908 ◽

Cited By ~ 2

Author(s):

Wenbin Liu ◽

Ningning Yan

Keyword(s):

Error Estimates ◽

Boundary Control ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Convex Boundary ◽

Boundary Control Problems

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