Error Estimates of the Finite Element Method with Weighted Basis Functions for a Singularly Perturbed Convection-Diffusion Equation

JOURNAL ARTICLE published June 2011 in Journal of Computational Mathematics

Authors: Xianggui Li

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

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

BOOK CHAPTER published 2020 in Lecture Notes in Computational Science and Engineering

Authors: Natalia Kopteva

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

A Priori and a Posteriori Error Estimates of a Weakly Over-Penalized Interior Penalty Method for Non-Self-Adjoint and Indefinite Problems

JOURNAL ARTICLE published June 2014 in Journal of Computational Mathematics

Authors: Yuping Zeng

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

Uniform Quadratic Convergence of a Monotone Weighted Average Method for Semilinear Singularly Perturbed Parabolic Problems

JOURNAL ARTICLE published June 2013 in Journal of Computational Mathematics

Authors: Igor Boglaev

Boundary Shock Problems and Singularly Perturbed Riccati Equations

BOOK CHAPTER published 2009 in Lecture Notes in Computational Science and Engineering

Authors: Relja Vulanović

Robust computational method for singularly perturbed system of parabolic convection‐diffusion problems with interior layers

JOURNAL ARTICLE published November 2021 in Computational and Mathematical Methods

Authors: Srinivasan Natesan | Maneesh K. Singh

A Cubic Spline Method for Solving Singularly-Perturbed Boundary-Value Problems

PROCEEDINGS ARTICLE published April 2009 in 2009 International Joint Conference on Computational Sciences and Optimization

Authors: Li-Bin Liu | Huan-Wen Liu

The finite element method with weighted basis functions for singularly perturbed convection–diffusion problems

JOURNAL ARTICLE published April 2004 in Journal of Computational Physics

Authors: Xiang-Gui Li | C.K. Chan | Song Wang

Examination of the Performance of Robust Numerical Methods for Singularly Perturbed Quasilinear Problems with Interior Layers

BOOK CHAPTER published 2009 in Lecture Notes in Computational Science and Engineering

Authors: P. A. Farrell | E. O’Riordan

A Priori and a Posteriori Error Estimates for H(div)-Elliptic Problem with Interior Penalty Method

JOURNAL ARTICLE published September 2013 in Communications in Computational Physics

Authors: Yuping Zeng | Jinru Chen

Rational Spectral Collocation Method for a Coupled System of Singularly Perturbed Boundary Value Problems

JOURNAL ARTICLE published June 2011 in Journal of Computational Mathematics

Authors: Suqin Chen

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

On Robust Error Estimation for Singularly Perturbed Fourth-Order Problems

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

Authors: Sebastian Franz | Hans-Görg Roos

Optimal L² Error Estimates for the Interior Penalty DG Method for Maxwell’s Equations in Cold Plasma

JOURNAL ARTICLE published February 2012 in Communications in Computational Physics

Authors: Jichun Li

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

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