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

Singularly Perturbed Problems ◽

A Posteriori Error ◽

Fully Discrete

A simple approach to reliable and robust a posteriori error estimation for singularly perturbed problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.05.014 ◽

2019 ◽

Vol 353 ◽

pp. 373-390 ◽

Cited By ~ 6

Author(s):

Mark Ainsworth ◽

Tomáš Vejchodský

Keyword(s):

Error Estimation ◽

Posteriori Error ◽

Simple Approach ◽

Singularly Perturbed ◽

A Posteriori ◽

Singularly Perturbed Problems ◽

A posteriori error estimation for quasilinear singularly perturbed problems with integral boundary condition

Numerical Algorithms ◽

10.1007/s11075-021-01134-5 ◽

2021 ◽

Author(s):

Sunil Kumar ◽

Shashikant Kumar ◽

Sumit

Keyword(s):

Boundary Condition ◽

Error Estimation ◽

Posteriori Error ◽

Singularly Perturbed ◽

Integral Boundary Condition ◽

A Posteriori ◽

Singularly Perturbed Problems ◽

Integral Boundary ◽

A Posteriori Error Estimation for a New Stabilized Discontinuous Galerkin Method

10.21236/ada438102 ◽

2002 ◽

Author(s):

A. Romkes ◽

S. Prudhomme ◽

J. T. Oden

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Error Estimation ◽

Discontinuous Galerkin Method ◽

Posteriori Error ◽

A Posteriori ◽

A-posteriori error estimation in maximum norm for a strongly coupled system of two singularly perturbed convection–diffusion problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.08.020 ◽

2017 ◽

Vol 313 ◽

pp. 152-167 ◽

Cited By ~ 9

Author(s):

Li-Bin Liu ◽

Yanping Chen

Keyword(s):

Error Estimation ◽

Coupled System ◽

Posteriori Error ◽

Singularly Perturbed ◽

A Posteriori ◽

A Posteriori Error ◽

Strongly Coupled ◽

Convection Diffusion ◽

Diffusion Problems

Maximum Norm a Posteriori Error Estimation for a System of Singularly Perturbed Semilinear Reaction-Diffusion Equations

Numerical Analysis and Applicable Mathematics ◽

10.36686/ariviyal.naam.2020.01.01.003 ◽

2020 ◽

Vol 1 (1) ◽

Author(s):

Ying Liang ◽

Xiaobing Bao ◽

Li-Bin Liu

Keyword(s):

Error Estimation ◽

Reaction Diffusion ◽

Posteriori Error ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

A Posteriori ◽

A posteriori error estimation for a singularly perturbed Volterra integro-differential equation

Numerical Algorithms ◽

10.1007/s11075-019-00693-y ◽

2019 ◽

Vol 83 (2) ◽

pp. 549-563 ◽

Cited By ~ 2

Author(s):

Jian Huang ◽

Zhongdi Cen ◽

Aimin Xu ◽

Li-Bin Liu

Keyword(s):

Differential Equation ◽

Error Estimation ◽

Posteriori Error ◽

Singularly Perturbed ◽

A Posteriori ◽

A Posteriori Error ◽

Integro Differential Equation

Efficient Adaptive Multilevel Stochastic Galerkin Approximation Using Implicit A Posteriori Error Estimation

SIAM Journal on Scientific Computing ◽

10.1137/18m1194420 ◽

2019 ◽

Vol 41 (3) ◽

pp. A1681-A1705 ◽

Cited By ~ 2

Author(s):

Adam J. Crowder ◽

Catherine E. Powell ◽

Alex Bespalov

Keyword(s):

Error Estimation ◽

Galerkin Approximation ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Stochastic Galerkin

A high-order h-adaptive discontinuous Galerkin method for unstructured grids based on a posteriori error estimation.

AIAA Scitech 2021 Forum ◽

10.2514/6.2021-1696 ◽

2021 ◽

Author(s):

Francesca Basile ◽

Jean-Baptiste Chapelier ◽

Marta de la Llave Plata ◽

Romain Laraufie ◽

Pascal Frey

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Error Estimation ◽

Discontinuous Galerkin Method ◽

Unstructured Grids ◽

Posteriori Error ◽

A Posteriori ◽

Lecture Notes in Computational Science and Engineering - Discontinuous Galerkin Methods ◽

A Posteriori Error Estimation for Adaptive Discontinuous Galerkin Approximations of Hyperbolic Systems

10.1007/978-3-642-59721-3_34 ◽

2000 ◽

pp. 363-368 ◽

Cited By ~ 16

Author(s):

Mats G. Larson ◽

Timothy J. Barth

Keyword(s):

Discontinuous Galerkin ◽

Error Estimation ◽

Hyperbolic Systems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Galerkin Approximations

A posteriori error estimation and dynamic adaptivity for symmetric discontinuous Galerkin approximations of reactive transport problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2005.02.021 ◽

2006 ◽

Vol 195 (7-8) ◽

pp. 632-652 ◽

Cited By ~ 28

Author(s):

Shuyu Sun ◽

Mary F. Wheeler

Keyword(s):

Discontinuous Galerkin ◽

Error Estimation ◽

Reactive Transport ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Galerkin Approximations ◽

Transport Problems