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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

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

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

A Domain Decomposition Method Based on Weighted Interior Penalties for Advection‐Diffusion‐Reaction Problems

JOURNAL ARTICLE published January 2006 in SIAM Journal on Numerical Analysis

Authors: Erik Burman | Paolo Zunino

Quasi-optimal A Priori Interface Error Bounds and A Posteriori Estimates for the Interior Penalty Method

JOURNAL ARTICLE published January 2013 in SIAM Journal on Numerical Analysis

Authors: Christian Waluga | Barbara Wohlmuth

Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with Pointwise Control

JOURNAL ARTICLE published January 2013 in SIAM Journal on Numerical Analysis

Authors: Dmitriy Leykekhman | Boris Vexler

Local Error Estimates for SUPG Solutions of Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems

JOURNAL ARTICLE published January 2010 in SIAM Journal on Numerical Analysis

Authors: Matthias Heinkenschloss | Dmitriy Leykekhman

Uniform Estimates for Eulerian–Lagrangian Methods for Singularly Perturbed Time-Dependent Problems

JOURNAL ARTICLE published January 2007 in SIAM Journal on Numerical Analysis

Authors: Hong Wang | Kaixin Wang

Pointwise A Posteriori Error Estimates for Discontinuous Galerkin Methods for Singularly Perturbed Reaction-Diffusion Equations

JOURNAL ARTICLE published 31 August 2023 in SIAM Journal on Numerical Analysis

Authors: Natalia Kopteva | Richard Rankin

A Posteriori Error Estimates for the Finite Element Solution of a Singularly Perturbed Linear Ordinary Differential Equation

JOURNAL ARTICLE published June 1981 in SIAM Journal on Numerical Analysis

Authors: Hans-Jürgen Reinhardt

Reliable and Robust A Posteriori Error Estimation for Singularly Perturbed Reaction-Diffusion Problems

JOURNAL ARTICLE published January 1999 in SIAM Journal on Numerical Analysis

Authors: Mark Ainsworth | Ivo Babuska

A Robust DPG Method for Singularly Perturbed Reaction-Diffusion Problems

JOURNAL ARTICLE published January 2017 in SIAM Journal on Numerical Analysis

Research funded by Comisión Nacional de Investigación Científica y Tecnológica (1150056,3140614,ACT1118) | Division of Mathematical Sciences (1318916)

Authors: Norbert Heuer | Michael Karkulik

A Balanced Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems

JOURNAL ARTICLE published January 2012 in SIAM Journal on Numerical Analysis

Authors: Runchang Lin | Martin Stynes

Pointwise Error Estimates and Asymptotic Error Expansion Inequalities for the Finite Element Method on Irregular Grids: Part II. Interior Estimates

JOURNAL ARTICLE published January 2000 in SIAM Journal on Numerical Analysis

Authors: Alfred H. Schatz

On Error Estimates of the Penalty Method for Unsteady Navier–Stokes Equations

JOURNAL ARTICLE published April 1995 in SIAM Journal on Numerical Analysis

Authors: Jie Shen

Adaptive Symmetric Interior Penalty Galerkin Method for Boundary Control Problems

JOURNAL ARTICLE published January 2017 in SIAM Journal on Numerical Analysis

Authors: Peter Benner | Hamdullah Yücel

Discontinuous Discretization for Least-Squares Formulation of Singularly Perturbed Reaction-Diffusion Problems in One and Two Dimensions

JOURNAL ARTICLE published January 2009 in SIAM Journal on Numerical Analysis

Authors: Runchang Lin

Uniform A Priori Estimates for Singularly Perturbed Elliptic Equations in Multidimensions

JOURNAL ARTICLE published January 1999 in SIAM Journal on Numerical Analysis

Authors: W. Dörfler

Pointwise Error Estimates of Discontinuous Galerkin Methods with Penalty for Second-Order Elliptic Problems

JOURNAL ARTICLE published January 2004 in SIAM Journal on Numerical Analysis

Authors: Zhangxin Chen | Hongsen Chen