Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Adaptive Space‐Time Finite Element Methods for Parabolic Optimization Problems

Dominik Meidner and Boris Vexler
SIAM Journal on Control and Optimization 46 (1) 116 (2007)
https://doi.org/10.1137/060648994

Optimal Vortex Reduction for Instationary Flows Based on Translation Invariant Cost Functionals

K. Kunisch and B. Vexler
SIAM Journal on Control and Optimization 46 (4) 1368 (2007)
https://doi.org/10.1137/050632774

Space-time discontinuos Galerkin method for solving nonstationary convection-diffusion-reaction problems

Miloslav Feistauer, Jaroslav Hájek and Karel Švadlenka
Applications of Mathematics 52 (3) 197 (2007)
https://doi.org/10.1007/s10492-007-0011-8

Constrained Dirichlet Boundary Control in $L^2$ for a Class of Evolution Equations

K. Kunisch and B. Vexler
SIAM Journal on Control and Optimization 46 (5) 1726 (2007)
https://doi.org/10.1137/060670110

Numerical analysis of dissolution processes in cementitious materials using discontinuous and continuous Galerkin time integration schemes

Detlef Kuhl and Günther Meschke
International Journal for Numerical Methods in Engineering 69 (9) 1775 (2007)
https://doi.org/10.1002/nme.1814

On a mixed and multiscale domain decomposition method

Pierre Ladevèze, David Néron and Pierre Gosselet
Computer Methods in Applied Mechanics and Engineering 196 (8) 1526 (2007)
https://doi.org/10.1016/j.cma.2006.05.014

Approximations of parabolic integro-differential equations using wavelet-Galerkin compression techniques

Konstantinos Chrysafinos
BIT Numerical Mathematics 47 (3) 487 (2007)
https://doi.org/10.1007/s10543-007-0141-0

Error Estimates for Discontinuous Galerkin Approximations of Implicit Parabolic Equations

K. Chrysafinos and Noel J. Walkington
SIAM Journal on Numerical Analysis 43 (6) 2478 (2006)
https://doi.org/10.1137/040602948

Multiadaptive Galerkin Methods for ODEs III: A Priori Error Estimates

Anders Logg
SIAM Journal on Numerical Analysis 43 (6) 2624 (2006)
https://doi.org/10.1137/040604133

DISCONTINUOUS GALERKIN METHODS FOR THE LOTKA–MCKENDRICK EQUATION WITH FINITE LIFE-SPAN

MI-YOUNG KIM
Mathematical Models and Methods in Applied Sciences 16 (02) 161 (2006)
https://doi.org/10.1142/S0218202506001108

A posteriori error analysis for higher order dissipative methods for evolution problems

Charalambos Makridakis and Ricardo H. Nochetto
Numerische Mathematik 104 (4) 489 (2006)
https://doi.org/10.1007/s00211-006-0013-6

Error Estimates for the Discontinuous Galerkin Methods for Parabolic Equations

K. Chrysafinos and Noel J. Walkington
SIAM Journal on Numerical Analysis 44 (1) 349 (2006)
https://doi.org/10.1137/030602289

A Posteriori Error Estimates for Discontinuous Galerkin Time-Stepping Method for Optimal Control Problems Governed by Parabolic Equations

Wenbin Liu, Heping Ma, Tao Tang and Ningning Yan
SIAM Journal on Numerical Analysis 42 (3) 1032 (2004)
https://doi.org/10.1137/S0036142902397090

Remarks on the rational approximation of holomorphic semigroups with nonuniform partitions

Norikazu Saito
Japan Journal of Industrial and Applied Mathematics 21 (3) 323 (2004)
https://doi.org/10.1007/BF03167586

Characteristic mixed discontinuous finite element methods for advection-dominated diffusion problems

Zhangxin Chen
Computer Methods in Applied Mechanics and Engineering 191 (23-24) 2509 (2002)
https://doi.org/10.1016/S0045-7825(01)00411-X

Error Estimates for Semidiscrete Finite Element Approximations of Linear and Semilinear Parabolic Equations Under Minimal Regularity Assumptions

K. Chrysafinos and L. S. Hou
SIAM Journal on Numerical Analysis 40 (1) 282 (2002)
https://doi.org/10.1137/S0036142900377991

A new stable space–time formulation for two‐dimensional and three‐dimensional incompressible viscous flow

Donatien N'dri, André Garon and André Fortin
International Journal for Numerical Methods in Fluids 37 (8) 865 (2001)
https://doi.org/10.1002/fld.174

hp-Discontinuous Galerkin time stepping for parabolic problems

T. Werder, K. Gerdes, D. Schötzau and C. Schwab
Computer Methods in Applied Mechanics and Engineering 190 (49-50) 6685 (2001)
https://doi.org/10.1016/S0045-7825(01)00258-4

Discontinuous Galerkin Methods

Bernardo Cockburn, George E. Karniadakis and Chi-Wang Shu
Lecture Notes in Computational Science and Engineering, Discontinuous Galerkin Methods 11 3 (2000)
https://doi.org/10.1007/978-3-642-59721-3_1

A space-time finite element method for the nonlinear Schrödinger equation: the discontinuous Galerkin method

Ohannes Karakashian and Charalambos Makridakis
Mathematics of Computation 67 (222) 479 (1998)
https://doi.org/10.1090/S0025-5718-98-00946-6

The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems

Bernardo Cockburn and Chi-Wang Shu
SIAM Journal on Numerical Analysis 35 (6) 2440 (1998)
https://doi.org/10.1137/S0036142997316712

Adaptive Finite Element Methods for Parabolic Problems VI: Analytic Semigroups

Kenneth Eriksson, Claes Johnson and Stig Larsson
SIAM Journal on Numerical Analysis 35 (4) 1315 (1998)
https://doi.org/10.1137/S0036142996310216

Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method

Stig Larsson, Vidar Thomée and Lars Wahlbin
Mathematics of Computation 67 (221) 45 (1998)
https://doi.org/10.1090/S0025-5718-98-00883-7

On the Stability of the Discontinuous Galerkin Method for the Heat Equation

Ch. G. Makridakis and I. Babuska
SIAM Journal on Numerical Analysis 34 (1) 389 (1997)
https://doi.org/10.1137/S0036142994261658

A local $L^2$-error analysis of the streamline diffusion method for nonstationary convection-diffusion systems

Guohui Zhou
ESAIM: Mathematical Modelling and Numerical Analysis 29 (5) 577 (1995)
https://doi.org/10.1051/m2an/1995290505771

Adaptive Finite Element Methods for Parabolic Problems V: Long-Time Integration

Kenneth Eriksson and Claes Johnson
SIAM Journal on Numerical Analysis 32 (6) 1750 (1995)
https://doi.org/10.1137/0732079

A generalized nodal finite element formalism for discrete ordinates equations in slab geometry: Part II: Theory in the discontinuous moment case

J. P. Hennart and E. del Valle
Transport Theory and Statistical Physics 24 (4-5) 479 (1995)
https://doi.org/10.1080/00411459508206014

A Posteriori Error Bounds and Global Error Control for Approximation of Ordinary Differential Equations

Donald Estep
SIAM Journal on Numerical Analysis 32 (1) 1 (1995)
https://doi.org/10.1137/0732001

Adaptive Finite Element Methods for Parabolic Problems II: Optimal Error Estimates in $L_\infty L_2 $ and $L_\infty L_\infty $

Kenneth Eriksson and Claes Johnson
SIAM Journal on Numerical Analysis 32 (3) 706 (1995)
https://doi.org/10.1137/0732033

Space‐time oriented streamline diffusion methods for non‐linear conservation laws in one dimension

Peter Hansbo
Communications in Numerical Methods in Engineering 10 (3) 203 (1994)
https://doi.org/10.1002/cnm.1640100304

Adaptive Methods — Algorithms, Theory and Applications

Rolf Rannacher and Guohui Zhou
Notes on Numerical Fluid Mechanics (NNFM), Adaptive Methods — Algorithms, Theory and Applications 236 (1994)
https://doi.org/10.1007/978-3-663-14246-1_16

High-order hierarchicalA- andL-stable integration methods

Peter W. Möller
International Journal for Numerical Methods in Engineering 36 (15) 2607 (1993)
https://doi.org/10.1002/nme.1620361507

The characteristic streamline diffusion method for the time-dependent incompressible Navier-Stokes equations

Peter Hansbo
Computer Methods in Applied Mechanics and Engineering 99 (2-3) 171 (1992)
https://doi.org/10.1016/0045-7825(92)90039-M

Some Stability Aspects of Schemes for the Adaptive Integration of Siff Initial Value Problems

Luca Dieci and Donald Estep
SIAM Journal on Scientific and Statistical Computing 12 (6) 1284 (1991)
https://doi.org/10.1137/0912069

Error estimates and step-size control for the approximate solution of a first order evolution equation

Günter Lippold
ESAIM: Mathematical Modelling and Numerical Analysis 25 (1) 111 (1991)
https://doi.org/10.1051/m2an/1991250101111

Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem

Kenneth Eriksson and Claes Johnson
SIAM Journal on Numerical Analysis 28 (1) 43 (1991)
https://doi.org/10.1137/0728003

An a Posteriori Error Estimate and Adaptive Timestep Control for a Backward Euler Discretization of a Parabolic Problem

Claes Johnson, Yi-Yong Nie and Vidar Thomée
SIAM Journal on Numerical Analysis 27 (2) 277 (1990)
https://doi.org/10.1137/0727019

The h‐p version of the finite element method for parabolic equations. Part I. The p‐version in time

Ivo Babuska and Tadeusz Janik
Numerical Methods for Partial Differential Equations 5 (4) 363 (1989)
https://doi.org/10.1002/num.1690050407

Error Estimates and Adaptive Time-Step Control for a Class of One-Step Methods for Stiff Ordinary Differential Equations

Claes Johnson
SIAM Journal on Numerical Analysis 25 (4) 908 (1988)
https://doi.org/10.1137/0725051

Error Estimates and Automatic Time Step Control for Nonlinear Parabolic Problems, I

Kenneth Eriksson and Claes Johnson
SIAM Journal on Numerical Analysis 24 (1) 12 (1987)
https://doi.org/10.1137/0724002