A posteriorierror estimates for fully discrete fractional-stepϑ-approximations for parabolic equations

JOURNAL ARTICLE published July 2016 in IMA Journal of Numerical Analysis

Authors: Fotini Karakatsani

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

Global and Local Pointwise Error Estimates for Finite Element Approximations to the Stokes Problem on Convex Polyhedra

JOURNAL ARTICLE published January 2020 in SIAM Journal on Numerical Analysis

Research funded by National Science Foundation (DMS-1913133)

Authors: Niklas Behringer | Dmitriy Leykekhman | Boris Vexler

Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra

JOURNAL ARTICLE published 1 March 2012 in Mathematics of Computation

Authors: J. Guzmán | D. Leykekhman

Uniform difference method for parameterized singularly perturbed delay differential equations

JOURNAL ARTICLE published December 2009 in Numerical Algorithms

Authors: I. G. Amiraliyeva | G. M. Amiraliyev

Maximum Norm A Posteriori Error Estimate for a 2D Singularly Perturbed Semilinear Reaction-Diffusion Problem

JOURNAL ARTICLE published January 2008 in SIAM Journal on Numerical Analysis

Authors: Natalia Kopteva

A Continuous Interior Penalty Method for Viscoelastic Flows

JOURNAL ARTICLE published January 2008 in SIAM Journal on Scientific Computing

Authors: Andrea Bonito | Erik Burman

Local Error Analysis of Discontinuous Galerkin Methods for Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems

JOURNAL ARTICLE published January 2012 in SIAM Journal on Numerical Analysis

Authors: Dmitriy Leykekhman | Matthias Heinkenschloss

Continuous Interior Penalty hp-Finite Element Methods for Transport Operators

BOOK CHAPTER published in Numerical Mathematics and Advanced Applications

Authors: Erik Burman | Alexandre Ern

Parameter-robust numerical method for a system of singularly perturbed initial value problems

JOURNAL ARTICLE published February 2012 in Numerical Algorithms

Authors: Sunil Kumar | Mukesh Kumar

Boundary Shock Problems and Singularly Perturbed Riccati Equations

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

Authors: Relja Vulanović

Superconvergence of discontinuous Galerkin method with interior penalties for singularly perturbed two-point boundary-value problems

JOURNAL ARTICLE published December 2018 in Calcolo

Authors: Gautam Singh | Srinivasan Natesan

An hp finite element method for 4th order singularly perturbed problems

JOURNAL ARTICLE published October 2016 in Numerical Algorithms

Authors: Philippos Constantinou | Charalambia Varnava | Christos Xenophontos

A Priori Error Estimates for a Single-Phase Quasilinear Stefan Problem in one Space Dimension

JOURNAL ARTICLE published 1991 in IMA Journal of Numerical Analysis

Authors: A. K. PANI | P. C. DAS

Error estimates for a numerical approximation to the compressible barotropic Navier–Stokes equations

JOURNAL ARTICLE published April 2016 in IMA Journal of Numerical Analysis

Authors: Thierry Gallouët | Raphaèle Herbin | David Maltese | Antonin Novotny

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

Analysis and Application of Multigrid Preconditioners for Singularly Perturbed Boundary Value Problems

JOURNAL ARTICLE published October 1989 in SIAM Journal on Numerical Analysis

Authors: C. I. Goldstein

n-Widths and Singularly Perturbed Boundary Value Problems

JOURNAL ARTICLE published January 1999 in SIAM Journal on Numerical Analysis

Authors: R. Bruce Kellogg | Martin Stynes

A posteriori error estimates by recovered gradients in parabolic finite element equations

JOURNAL ARTICLE published September 2008 in BIT Numerical Mathematics

Authors: D. Leykekhman | L. B. Wahlbin

A note on uniform in time error estimates for approximations to reaction-diffusion equations

JOURNAL ARTICLE published 1992 in IMA Journal of Numerical Analysis

Authors: J. M. SANZ-SERNA | A. M. STUART