A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers

SIAM Journal on Scientific Computing ◽

10.1137/08073706x ◽

2010 ◽

Vol 32 (3) ◽

pp. 1567-1590 ◽

Author(s):

Pavel Jiránek ◽

Zdeněk Strakoš ◽

Martin Vohralík

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Iterative Solvers ◽

A Posteriori ◽

Stopping Criteria ◽

A Posteriori Error ◽

Algebraic Error

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Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.06.028 ◽

2020 ◽

Vol 364 ◽

pp. 112312 ◽

Author(s):

Elyes Ahmed ◽

Jan Martin Nordbotten ◽

Florin Adrian Radu

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

Stopping Criteria ◽

A Posteriori Error ◽

Iterative Schemes ◽

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A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media

Journal of Computational Physics ◽

10.1016/j.jcp.2014.06.061 ◽

2014 ◽

Vol 276 ◽

pp. 163-187 ◽

Author(s):

Daniele A. Di Pietro ◽

Eric Flauraud ◽

Martin Vohralík ◽

Soleiman Yousef

Keyword(s):

Porous Media ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

Stopping Criteria ◽

A Posteriori Error ◽

Flows In Porous Media ◽

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A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows

Computational Geosciences ◽

10.1007/s10596-013-9356-0 ◽

2013 ◽

Vol 17 (5) ◽

pp. 789-812 ◽

Author(s):

Martin Vohralík ◽

Mary F. Wheeler

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

Two Phase Flows ◽

Stopping Criteria ◽

Two Phase ◽

A Posteriori Error

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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 ◽

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 ◽

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 ◽

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 ◽

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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