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

JOURNAL ARTICLE published February 2022 in Numerical Algorithms

Research funded by Science and Engineering Research Board (ECR/2017/000564) | University Grants Commission (20/12/2015(ii)EU-V)

Authors: Sunil Kumar | Shashikant Kumar

Supercloseness analysis of the nonsymmetric interior penalty Galerkin method for a singularly perturbed problem on Bakhvalov-type mesh

JOURNAL ARTICLE published October 2023 in Applied Mathematics Letters

Research funded by National Natural Science Foundation of China (11771257) | Natural Science Foundation of Shandong Province (ZR2021MA004)

Authors: Xiaoqi Ma | Jin Zhang

An a posteriori error estimator for a quadratic C0-interior penalty method for the biharmonic problem

JOURNAL ARTICLE published 1 July 2010 in IMA Journal of Numerical Analysis

Authors: S. C. Brenner | T. Gudi | L.-y. Sung

Energy-Norm A Posteriori Error Estimates for Singularly Perturbed Reaction-Diffusion Problems on Anisotropic Meshes: Neumann Boundary Conditions

BOOK CHAPTER published 2017 in Lecture Notes in Computational Science and Engineering

Authors: Natalia Kopteva

Isogeometric analysis for singularly perturbed problems in 1-D: error estimates

JOURNAL ARTICLE published 2020 in ETNA - Electronic Transactions on Numerical Analysis

Authors: Christos Xenophontos | Irene Sykopetritou

Layer-adapted meshes for a linear system of coupled singularly perturbed reaction-diffusion problems

JOURNAL ARTICLE published 27 February 2008 in IMA Journal of Numerical Analysis

Authors: T. Linss | N. Madden

A Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion--Reaction Problems

JOURNAL ARTICLE published January 2018 in SIAM Journal on Numerical Analysis

Research funded by National Science Foundation (DMS-120016) | Natural Science Foundation of Zhejiang Province (LY15A010018)

Authors: Runchang Lin | Xiu Ye | Shangyou Zhang | Peng Zhu

On Collocation Schemes for Quasilinear Singularly Perturbed Boundary Value Problems

JOURNAL ARTICLE published October 1984 in SIAM Journal on Numerical Analysis

Authors: Christian Ringhofer

A two-scale sparse grid method for a singularly perturbed reaction-diffusion problem in two dimensions

JOURNAL ARTICLE published 1 October 2009 in IMA Journal of Numerical Analysis

Authors: F. Liu | N. Madden | M. Stynes | A. Zhou

Guaranteed and robusta posteriorierror estimates for singularly perturbed reaction–diffusion problems

JOURNAL ARTICLE published September 2009 in ESAIM: Mathematical Modelling and Numerical Analysis

Authors: Ibrahim Cheddadi | Radek Fučík | Mariana I. Prieto | Martin Vohralík

A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems

JOURNAL ARTICLE published 1 October 2003 in IMA Journal of Numerical Analysis

Authors: N. Madden

A cut discontinuous Galerkin method for the Laplace–Beltrami operator

JOURNAL ARTICLE published January 2017 in IMA Journal of Numerical Analysis

Research funded by EPSRC, UK (EP/J002313/1) | Swedish Foundation for Strategic Research (AM13-0029) | Swedish Research Council (2011-4992, 2013-4708)

Authors: Erik Burman | Peter Hansbo | Mats G. Larson | André Massing

An Equilibrated A Posteriori Error Estimator for the Interior Penalty Discontinuous Galerkin Method

JOURNAL ARTICLE published January 2014 in SIAM Journal on Numerical Analysis

Authors: D. Braess | T. Fraunholz | R. H. W. Hoppe

Global and Interior Pointwise best Approximation Results for the Gradient of Galerkin Solutions for Parabolic Problems

JOURNAL ARTICLE published January 2017 in SIAM Journal on Numerical Analysis

Authors: Dmitriy Leykekhman | Boris Vexler

Uniform estimates for conforming Galerkin method for anisotropic singularly perturbed elliptic problems

JOURNAL ARTICLE published 17 January 2024 in Applicable Analysis

Authors: David Maltese | Chokri Ogabi

Convergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method

JOURNAL ARTICLE published January 2009 in SIAM Journal on Numerical Analysis

Authors: R. H. W. Hoppe | G. Kanschat | T. Warburton

Error Control of Phase-Function Shooting Methods for Sturm-Liouville Problems

JOURNAL ARTICLE published 1986 in IMA Journal of Numerical Analysis

Authors: J. D. PRYCE

ε-Uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with nterior layers

JOURNAL ARTICLE published September 2011 in Numerical Algorithms

Authors: Kaushik Mukherjee | Srinivasan Natesan

Error Analysis of the Enthalpy Method for the Stefan Problem

JOURNAL ARTICLE published 1987 in IMA Journal of Numerical Analysis

Authors: C. M. ELLIOTT

Non-Symmetric Interior Penalty Galerkin Finite Element Method for a Class of Singularly Perturbed Reaction Diffusion Problems with Discontinuous Data

JOURNAL ARTICLE published December 2022 in International Journal of Applied and Computational Mathematics

Research funded by Council for Scientific and Industrial research, India (09/045(1547)/2017-EMR-I) | Science and Engineering Research Board, DST, India (SPG/2022/000063)

Authors: Ram Prasad Yadav | Pratima Rai | Kapil K. Sharma