Weighted error estimates of the continuous interior penalty method for singularly perturbed problems

JOURNAL ARTICLE published 2 April 2008 in IMA Journal of Numerical Analysis

Authors: E. Burman | J. Guzman | D. Leykekhman

Error estimates for the finite-element solution of an elliptic singularly perturbed problem

JOURNAL ARTICLE published 1995 in IMA Journal of Numerical Analysis

Authors: LUTZ ANGERMANN

Weighted Error Estimates for Transient Transport Problems Discretized Using Continuous Finite Elements with Interior Penalty Stabilization on the Gradient Jumps

JOURNAL ARTICLE published October 2022 in Vietnam Journal of Mathematics

Research funded by Engineering and Physical Sciences Research Council (EP/P01576X/1) | Engineering and Physical Sciences Research Council (EP/T033126/1)

Authors: Erik Burman

Pointwise error estimates for 𝐶⁰ interior penalty approximation of biharmonic problems

JOURNAL ARTICLE published 8 October 2020 in Mathematics of Computation

Research funded by National Science Foundation (1913133)

Authors: D. Leykekhman

On diffusion-uniform error estimates for the DG method applied to singularly perturbed problems

JOURNAL ARTICLE published 1 April 2014 in IMA Journal of Numerical Analysis

Authors: V. Ku era

Uniform error estimates in the finite element method for a singularly perturbed reaction-diffusion problem

JOURNAL ARTICLE published 1 January 2008 in Mathematics of Computation

Authors: Dmitriy Leykekhman

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 Posteriori Error Estimation for Interior Penalty Finite Element Approximations of the Advection-Reaction Equation

JOURNAL ARTICLE published January 2009 in SIAM Journal on Numerical Analysis

Authors: Erik Burman

A posteriori error estimates for a dual finite element method for singularly perturbed reaction–diffusion problems

JOURNAL ARTICLE published March 2024 in BIT Numerical Mathematics

Research funded by National Science Foundation (DMS-2208289) | National Natural Science Foundation of China (12171025,NSAF-U2230402)

Authors: JaEun Ku | Martin Stynes

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

JOURNAL ARTICLE published January 2015 in SIAM Journal on Numerical Analysis

Authors: Natalia Kopteva

Continuous Interior Penalty Finite Element Method for Oseen's Equations

JOURNAL ARTICLE published January 2006 in SIAM Journal on Numerical Analysis

Authors: Erik Burman | Miguel A. Fernández | Peter Hansbo

Continuous interior penalty stabilization for divergence-free finite element methods

JOURNAL ARTICLE published 3 April 2024 in IMA Journal of Numerical Analysis

Authors: Gabriel R Barrenechea | Erik Burman | Ernesto Cáceres | Johnny Guzmán

Uniform Error Estimates for an Exponentially Fitted Finite Element Method for Singularly Perturbed Elliptic Equations

JOURNAL ARTICLE published January 1999 in SIAM Journal on Numerical Analysis

Authors: W. Dörfler

Interior Estimates for Singularly Perturbed Problems

JOURNAL ARTICLE published 31 August 1984 in Zeitschrift für Analysis und ihre Anwendungen

Authors: Dietrich Göhde

Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. I: reaction-diffusion-type problems

JOURNAL ARTICLE published 1995 in IMA Journal of Numerical Analysis

Authors: GUANGFU SUN | MARTIN STYNES

Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. II: convection-diffusion-type problems

JOURNAL ARTICLE published 1995 in IMA Journal of Numerical Analysis

Authors: GUANGFU SUN | MARTIN STYNE

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

Energy-norm a posteriori error estimates for singularly perturbed reaction-diffusion problems on anisotropic meshes

JOURNAL ARTICLE published November 2017 in Numerische Mathematik

Authors: Natalia Kopteva

Superconvergence error estimates of discontinuous Galerkin time stepping for singularly perturbed parabolic problems

JOURNAL ARTICLE published July 2022 in Numerical Algorithms

Authors: Gautam Singh | Srinivasan Natesan

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

JOURNAL ARTICLE published August 2016 in Numerische Mathematik

Authors: Alan Demlow | Natalia Kopteva