A Posteriori Error Estimation with Finite Element Semi- and Fully Discrete Methods for Nonlinear Parabolic Equations in One Space Dimension

SIAM Journal on Numerical Analysis ◽

10.1137/0731008 ◽

1994 ◽

Vol 31 (1) ◽

pp. 149-169 ◽

Author(s):

Peter K. Moore

Keyword(s):

Parabolic Equations ◽

Space Dimension ◽

Posteriori Error ◽

Nonlinear Parabolic Equations ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Fully Discrete ◽

Nonlinear Parabolic ◽

Discrete Methods

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A Posteriori Error Estimation and Adaptivity for Nonlinear Parabolic Equations using IMEX-Galerkin Discretization of Primal and Dual Equations

SIAM Journal on Scientific Computing ◽

10.1137/17m1133968 ◽

2018 ◽

Vol 40 (5) ◽

pp. A3371-A3399 ◽

Author(s):

X. Wu ◽

K. G. van der Zee ◽

G. Simsek ◽

E. H. van Brummelen

Keyword(s):

Error Estimation ◽

Parabolic Equations ◽

Posteriori Error ◽

Nonlinear Parabolic Equations ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Nonlinear Parabolic ◽

Primal And Dual

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A posteriori error estimation with the finite element method of lines for a nonlinear parabolic equation in one space dimension

Numerische Mathematik ◽

10.1007/s002110050459 ◽

1999 ◽

Vol 83 (3) ◽

pp. 455-475 ◽

Author(s):

K. Segeth

Keyword(s):

Finite Element Method ◽

Parabolic Equation ◽

Space Dimension ◽

Method Of Lines ◽

Posteriori Error ◽

A Posteriori ◽

Posteriori Error Estimation ◽

The Finite Element Method ◽

A Posteriori Error ◽

Nonlinear Parabolic

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Interpolation error-based a posteriori error estimation for two-point boundary value problems and parabolic equations in one space dimension

Numerische Mathematik ◽

10.1007/s002110100297 ◽

2001 ◽

Vol 90 (1) ◽

pp. 149-177 ◽

Author(s):

Peter K. Moore

Keyword(s):

Boundary Value Problems ◽

Error Estimation ◽

Parabolic Equations ◽

Space Dimension ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Point Boundary ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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The Local Discontinuous Galerkin Method for the Fourth-Order Euler–Bernoulli Partial Differential Equation in One Space Dimension. Part II: A Posteriori Error Estimation

Journal of Scientific Computing ◽

10.1007/s10915-013-9783-z ◽

2013 ◽

Vol 60 (1) ◽

pp. 1-34 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Fourth Order ◽

Space Dimension ◽

Posteriori Error ◽

Local Discontinuous Galerkin Method ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Local Discontinuous Galerkin

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A posteriori error estimates of fully discrete finite-element schemes for nonlinear parabolic integro-differential optimal control problems

Advances in Difference Equations ◽

10.1186/1687-1847-2014-15 ◽

2014 ◽

Vol 2014 (1) ◽

Author(s):

Zuliang Lu

Keyword(s):

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Fully Discrete ◽

Nonlinear Parabolic ◽

Discrete Finite Element ◽

Finite Element Schemes

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A posteriori error estimates for fully discrete nonlinear parabolic problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2007.03.015 ◽

2007 ◽

Vol 196 (35-36) ◽

pp. 3462-3474 ◽

Author(s):

Javier de Frutos ◽

Bosco García-Archilla ◽

Julia Novo

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Parabolic Problems ◽

A Posteriori ◽

Nonlinear Parabolic Problems ◽

A Posteriori Error ◽

Fully Discrete ◽

Nonlinear Parabolic

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A posteriori error estimation for a fully discrete discontinuous Galerkin approximation to a kind of singularly perturbed problems

Finite Elements in Analysis and Design ◽

10.1016/j.finel.2007.03.007 ◽

2007 ◽

Vol 43 (10) ◽

pp. 757-770 ◽

Author(s):

Yanping Chen ◽

Jiming Yang

Keyword(s):

Discontinuous Galerkin ◽

Error Estimation ◽

Galerkin Approximation ◽

Posteriori Error ◽

Singularly Perturbed ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Singularly Perturbed Problems ◽

A Posteriori Error ◽

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A posteriori error estimation for nonlinear parabolic boundary control

2011 16th International Conference on Methods & Models in Automation & Robotics ◽

10.1109/mmar.2011.6031321 ◽

2011 ◽

Author(s):

Eileen Kammann ◽

Fredi Troltzsch

Keyword(s):

Error Estimation ◽

Boundary Control ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Parabolic Boundary ◽

A Posteriori Error ◽

Nonlinear Parabolic

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A posteriori error estimation with the p-version of the finite element method for nonlinear parabolic differential equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(02)00419-x ◽

2002 ◽

Vol 191 (43) ◽

pp. 4893-4904 ◽

Author(s):

Javier de Frutos ◽

Julia Novo

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori ◽

Posteriori Error Estimation ◽

The Finite Element Method ◽

Parabolic Differential Equations ◽

A Posteriori Error ◽

Nonlinear Parabolic

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A posteriori error estimation for fully discrete hierarchic models of elliptic boundary value problems on thin domains

Numerische Mathematik ◽

10.1007/s002110050370 ◽

1998 ◽

Vol 80 (3) ◽

pp. 325-362 ◽

Author(s):

Mark Ainsworth

Keyword(s):

Boundary Value Problems ◽

Error Estimation ◽

Elliptic Boundary ◽

Posteriori Error ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Thin Domains ◽

A Posteriori Error ◽

Elliptic Boundary Value ◽

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