Guaranteed and Fully Robust a posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients

Martin Vohralík

doi:10.1007/s10915-010-9410-1

Guaranteed and Fully Robust a posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients

Journal of Scientific Computing ◽

10.1007/s10915-010-9410-1 ◽

2010 ◽

Vol 46 (3) ◽

pp. 397-438 ◽

Cited By ~ 37

Author(s):

Martin Vohralík

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Discontinuous Coefficients ◽

A Posteriori ◽

A Posteriori Error ◽

Diffusion Problems

Robust a Posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients on Anisotropic Meshes

Journal of Scientific Computing ◽

10.1007/s10915-014-9937-7 ◽

2014 ◽

Vol 64 (2) ◽

pp. 368-400

Author(s):

Jikun Zhao ◽

Shaochun Chen ◽

Bei Zhang ◽

Shipeng Mao

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Discontinuous Coefficients ◽

A Posteriori ◽

A Posteriori Error ◽

Anisotropic Meshes ◽

Diffusion Problems

A posteriori error estimates for nonconforming streamline-diffusion finite element methods for convection-diffusion problems

CALCOLO ◽

10.1007/s10092-014-0122-z ◽

2014 ◽

Vol 52 (4) ◽

pp. 407-424 ◽

Cited By ~ 2

Author(s):

Jikun Zhao ◽

Shaochun Chen ◽

Bei Zhang

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion ◽

Streamline Diffusion ◽

Diffusion Problems

Global a posteriori error estimates for convection–reaction–diffusion problems

Applied Mathematical Modelling ◽

10.1016/j.apm.2007.04.013 ◽

2008 ◽

Vol 32 (8) ◽

pp. 1579-1586 ◽

Cited By ~ 4

Author(s):

Sergey Korotov

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Diffusion Problems

A posteriori error estimates for approximations of evolutionary convection–diffusion problems

Journal of Mathematical Sciences ◽

10.1007/s10958-010-0100-1 ◽

2010 ◽

Vol 170 (4) ◽

pp. 554-566 ◽

Cited By ~ 6

Author(s):

S. I. Repin ◽

S. K. Tomar

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion ◽

Diffusion Problems

Maximum-Norm A Posteriori Error Estimates for Singularly Perturbed Reaction-Diffusion Problems on Anisotropic Meshes

SIAM Journal on Numerical Analysis ◽

10.1137/140983458 ◽

2015 ◽

Vol 53 (6) ◽

pp. 2519-2544 ◽

Cited By ~ 6

Author(s):

Natalia Kopteva

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

Singularly Perturbed ◽

Maximum Norm ◽

A Posteriori ◽

A Posteriori Error ◽

Anisotropic Meshes ◽

Diffusion Problems

Superconvergence and a posteriori error estimates for the LDG method for convection–diffusion problems in one space dimension

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2013.12.014 ◽

2014 ◽

Vol 67 (5) ◽

pp. 1130-1153 ◽

Cited By ~ 10

Author(s):

Mahboub Baccouch

Keyword(s):

Error Estimates ◽

Space Dimension ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion ◽

Ldg Method ◽

Diffusion Problems ◽

One Space Dimension

Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems

Numerische Mathematik ◽

10.1007/s00211-015-0763-0 ◽

2015 ◽

Vol 133 (4) ◽

pp. 707-742 ◽

Cited By ~ 13

Author(s):

Alan Demlow ◽

Natalia Kopteva

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

Singularly Perturbed ◽

Maximum Norm ◽

A Posteriori ◽

A Posteriori Error ◽

Diffusion Problems

Improved Energy-Norm A Posteriori Error Estimates for Singularly Perturbed Reaction-Diffusion Problems on Anisotropic Meshes

Lecture Notes in Computational Science and Engineering - Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018 ◽

10.1007/978-3-030-41800-7_9 ◽

2020 ◽

pp. 143-156

Author(s):

Natalia Kopteva

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

Singularly Perturbed ◽

Energy Norm ◽

A Posteriori ◽

A Posteriori Error ◽

Anisotropic Meshes ◽

Diffusion Problems

Nonlinear convection-diffusion problems: fully discrete approximations and a posteriori error estimates

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drq017 ◽

2011 ◽

Vol 31 (4) ◽

pp. 1402-1430 ◽

Cited By ~ 7

Author(s):

J. de Frutos ◽

B. Garcia-Archilla ◽

J. Novo

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

Discrete Approximations ◽

Nonlinear Convection ◽

A Posteriori Error ◽

Convection Diffusion ◽

Fully Discrete ◽

Diffusion Problems

A posteriori error estimates for finite element approximations to the wave equation with discontinuous coefficients

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22368 ◽

2019 ◽

Vol 35 (5) ◽

pp. 1630-1653

Author(s):

Bhupen Deka

Keyword(s):

Finite Element ◽

Wave Equation ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Discontinuous Coefficients ◽

A Posteriori ◽

A Posteriori Error ◽

Finite Element Approximations