Supercloseness of the continuous interior penalty method for singularly perturbed problems in 1D: Vertex-cell interpolation

JOURNAL ARTICLE published January 2018 in Applied Numerical Mathematics

Research funded by National Science Foundation of China (11771257) | Shandong Provincial Natural Science Foundation, China (ZR2017MA003) | A Project of Shandong Province Higher Educational Science and Technology Program (J17KA169) | National Science Foundation of China (11601251) | Shandong Provincial Natural Science Foundation, China (ZR2016AM13) | A Project of Shandong Province Higher Educational Science and Technology Program (J16LI10)

Authors: Jin Zhang | Xiaowei Liu

A continuous interior penalty finite element method for a third-order singularly perturbed boundary value problem

JOURNAL ARTICLE published March 2018 in Computational and Applied Mathematics

Research funded by Ministry of Education, Science and Technological Development of the Republic of Serbia (174030,174030)

Authors: Helena Zarin | Hans-Görg Roos | Ljiljana Teofanov

Pointwise Error Estimates for the LDG Method Applied to 1-d Singularly Perturbed Reaction-Diffusion Problems

JOURNAL ARTICLE published 1 January 2013 in Computational Methods in Applied Mathematics

Authors: Huiqing Zhu | Zhimin Zhang

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

Recurrence Method for Solving Singularly Perturbed Boundary Value Problems

JOURNAL ARTICLE published November 2010 in Studies in Applied Mathematics

Authors: B. Lin | K. Li | Z. Cheng

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

Fitted reproducing kernel method for singularly perturbed delay initial value problems

JOURNAL ARTICLE published July 2016 in Applied Mathematics and Computation

Research funded by National Natural Science Foundation of China (11201041)

Authors: Z.Q. Tang | F.Z. Geng

Error analysis for a Galerkin-spectral method with coordinate transformation for solving singularly perturbed problems

JOURNAL ARTICLE published August 2001 in Applied Numerical Mathematics

Authors: Wenbin Liu | Tao Tang

A Posteriori Error Estimates of a Weakly Over-Penalized Symmetric Interior Penalty Method for Elliptic Eigenvalue Problems

JOURNAL ARTICLE published November 2015 in East Asian Journal on Applied Mathematics

Authors: Yuping Zeng | Jinru Chen | Feng Wang

A priori error estimates for interior penalty discontinuous Galerkin method applied to nonlinear Sobolev equations

JOURNAL ARTICLE published June 2008 in Applied Mathematics and Computation

Authors: Tongjun Sun | Danping Yang

Combined finite volume element method for singularly perturbed reaction–diffusion problems

JOURNAL ARTICLE published March 2009 in Applied Mathematics and Computation

Authors: Sutthisak Phongthanapanich | Pramote Dechaumphai

Edge stabilization for the generalized Stokes problem: A continuous interior penalty method

JOURNAL ARTICLE published April 2006 in Computer Methods in Applied Mechanics and Engineering

Authors: Erik Burman | Peter Hansbo

The error estimates of spectral methods for 1-dimension singularly perturbed problem

JOURNAL ARTICLE published February 2020 in Applied Mathematics Letters

Authors: Jianwei Zhou | Ziwu Jiang | Huantian Xie | Haifeng Niu

A numerical method for singularly perturbed turning point problems with an interior layer

JOURNAL ARTICLE published January 2014 in Journal of Computational and Applied Mathematics

Research funded by National Natural Science Foundation of China (11201041,11026200) | Special Funds of the National Natural Science Foundation of China (11141003)

Authors: F.Z. Geng | S.P. Qian | S. Li

Asymptotic numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations with a weak interior layer

JOURNAL ARTICLE published January 2006 in Applied Mathematics and Computation

Authors: V. Shanthi | N. Ramanujam

A uniformly convergent continuous–discontinuous Galerkin method for singularly perturbed problems of convection–diffusion type

JOURNAL ARTICLE published January 2011 in Applied Mathematics and Computation

Authors: Peng Zhu | Ziqing Xie | Shuzi Zhou

Uniformly Convergent New Hybrid Numerical Method for Singularly Perturbed Parabolic Problems with Interior Layers

JOURNAL ARTICLE published April 2020 in International Journal of Applied and Computational Mathematics

Authors: Narendra Singh Yadav | Kaushik Mukherjee

Discontinuous Galerkin methods with interior penalties on graded meshes for 2D singularly perturbed convection–diffusion problems

JOURNAL ARTICLE published January 2017 in Applied Numerical Mathematics

Research funded by Zhejiang Provincial Natural Science Foundation (LQ14A010013,LY15A010018)

Authors: Yubo Yang | Peng Zhu

Error estimates for transport problems with high Péclet number using a continuous dependence assumption

JOURNAL ARTICLE published January 2017 in Journal of Computational and Applied Mathematics

Research funded by Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (18226-12-4)

Authors: Erik Burman | Isaac P. Santos

Error estimates of fictitious domain method with an $$H^1$$ penalty approach for elliptic problems

JOURNAL ARTICLE published February 2022 in Computational and Applied Mathematics

Authors: Swapnil Kale | Debasish Pradhan