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:

This article has been cited by the following article(s):

Discretization of the Cauchy problem for a fast diffusion equation

Paul-Emile Maingé
Journal of Computational and Applied Mathematics 213 (1) 95 (2008)
DOI: 10.1016/j.cam.2007.01.013
See this article

Analysis of Multigrid Preconditioning for Implicit PDE Solvers for Degenerate Parabolic Equations

Marco Donatelli, Matteo Semplice and Stefano Serra-Capizzano
SIAM Journal on Matrix Analysis and Applications 32 (4) 1125 (2011)
DOI: 10.1137/100807880
See this article

An enthalpy-based finite element method for nonlinear heat problems involving phase change

B. Nedjar
Computers & Structures 80 (1) 9 (2002)
DOI: 10.1016/S0045-7949(01)00165-1
See this article

Finite element simulation of laser surface treatments including convection in the melt pool

M. Picasso and A.F.A. Hoadley
International Journal of Numerical Methods for Heat & Fluid Flow 4 (1) 61 (1994)
DOI: 10.1108/EUM0000000004031
See this article

Solution of Nonlinear Diffusion Problems by Linear Approximation Schemes

J. Kavčur, A. Handlovivčová and M. Kavčurová
SIAM Journal on Numerical Analysis 30 (6) 1703 (1993)
DOI: 10.1137/0730087
See this article

Linearly Implicit Approximations of Diffusive Relaxation Systems

Fausto Cavalli
Acta Applicandae Mathematicae 125 (1) 79 (2013)
DOI: 10.1007/s10440-012-9781-4
See this article

Differential Equations and Mathematical Physics

Willi Jäger and Jozef Kačur
Mathematics in Science and Engineering, Differential Equations and Mathematical Physics 186 99 (1992)
DOI: 10.1016/S0076-5392(08)63377-9
See this article

Evolution of Convex Plane Curves Describing Anisotropic Motions of Phase Interfaces

Karol Mikula and Jozef Kačur
SIAM Journal on Scientific Computing 17 (6) 1302 (1996)
DOI: 10.1137/S1064827594261905
See this article

Discontinuous Galerkin Approximation of Relaxation Models for Linear and Nonlinear Diffusion Equations

Fausto Cavalli, Giovanni Naldi and Ilaria Perugia
SIAM Journal on Scientific Computing 34 (1) A105 (2012)
DOI: 10.1137/110827752
See this article

Numerical approximation of the Preisach model for hysteresis

C. Verdi and A. Visintin
ESAIM: Mathematical Modelling and Numerical Analysis 23 (2) 335 (1989)
DOI: 10.1051/m2an/1989230203351
See this article

Solution of Some Free Boundary Problems by Relaxation Schemes

J. Kacur
SIAM Journal on Numerical Analysis 36 (1) 290 (1998)
DOI: 10.1137/S0036142996311143
See this article

High-Order Relaxation Schemes for Nonlinear Degenerate Diffusion Problems

Fausto Cavalli, Giovanni Naldi, Gabriella Puppo and Matteo Semplice
SIAM Journal on Numerical Analysis 45 (5) 2098 (2007)
DOI: 10.1137/060664872
See this article

AP1--P1Finite Element Method for a Phase Relaxation Model I: Quasi-Uniform Mesh

Xun Jiang and Ricardo H. Nochetto
SIAM Journal on Numerical Analysis 35 (3) 1176 (1998)
DOI: 10.1137/S0036142996297783
See this article

A space–time finite element method for nonlinear parabolic problems

M. Morandi Cecchi and A. Scarpa
Applied Numerical Mathematics 15 (2) 247 (1994)
DOI: 10.1016/0168-9274(94)00023-9
See this article

An operator Newton method for the Stefan problem based on smoothing: A local perspective

Joseph W Jerome
Journal of Approximation Theory 62 (3) 282 (1990)
DOI: 10.1016/0021-9045(90)90053-S
See this article

Solution of nonlinear curvature driven evolution of plane convex curves

Karol Mikula
Applied Numerical Mathematics 23 (3) 347 (1997)
DOI: 10.1016/S0168-9274(96)00072-4
See this article

Phase Transitions and Hysteresis

Claudio Verti
Lecture Notes in Mathematics, Phase Transitions and Hysteresis 1584 213 (1994)
DOI: 10.1007/BFb0073398
See this article

Approximation of degenerate parabolic systems by nondegenerate elliptic and parabolic systems

J. Kačur and S. Luckhaus
Applied Numerical Mathematics 26 (3) 307 (1998)
DOI: 10.1016/S0168-9274(97)00073-1
See this article

An approximation scheme for a nonlinear degenerate parabolic equation with a second-order differential Volterra operator

Marián Slodička
Journal of Computational and Applied Mathematics 168 (1-2) 447 (2004)
DOI: 10.1016/j.cam.2003.12.007
See this article

A linear finite volume method for nonlinear cross-diffusion systems

Hideki Murakawa
Numerische Mathematik 136 (1) 1 (2017)
DOI: 10.1007/s00211-016-0832-z
See this article

High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations

Yuanyuan Liu, Chi-Wang Shu and Mengping Zhang
SIAM Journal on Scientific Computing 33 (2) 939 (2011)
DOI: 10.1137/100791002
See this article

A Robust and Efficient Linearization Scheme for Doubly Nonlinear and Degenerate Parabolic Problems Arising in Flow in Porous Media

Marián Slodicka
SIAM Journal on Scientific Computing 23 (5) 1593 (2002)
DOI: 10.1137/S1064827500381860
See this article

Solution of porous medium type systems by linear approximation schemes

Willi Jäger and Jozef Kačur
Numerische Mathematik 60 (1) 407 (1991)
DOI: 10.1007/BF01385729
See this article

Time discretization schemes for the Stefan problem in a concentrated capacity

Enrico Magenes and Claudio Verdi
Meccanica 28 (2) 121 (1993)
DOI: 10.1007/BF01020324
See this article

An efficient linear scheme to approximate nonlinear diffusion problems

Hideki Murakawa
Japan Journal of Industrial and Applied Mathematics 35 (1) 71 (2018)
DOI: 10.1007/s13160-017-0279-3
See this article

High Order Finite Difference Multi-resolution WENO Method for Nonlinear Degenerate Parabolic Equations

Yan Jiang
Journal of Scientific Computing 86 (1) (2021)
DOI: 10.1007/s10915-020-01382-y
See this article

Reaction–diffusion system approximation to degenerate parabolic systems

H Murakawa
Nonlinearity 20 (10) 2319 (2007)
DOI: 10.1088/0951-7715/20/10/003
See this article

Investigations of surface defects during laser polishing of tool steel

Bastian Meylan, Ivan Calderon, Quang Tri Le and Kilian Wasmer
Procedia CIRP 94 942 (2020)
DOI: 10.1016/j.procir.2020.09.092
See this article

A Nonlinear Mixed Finite Element Method for a Degenerate Parabolic Equation Arising in Flow in Porous Media

Todd Arbogast and Mary F. Wheeler
SIAM Journal on Numerical Analysis 33 (4) 1669 (1996)
DOI: 10.1137/S0036142994266728
See this article

Fausto Cavalli, Giovanni Naldi and Matteo Semplice
404 (2006)
DOI: 10.1007/978-3-540-34288-5_35
See this article

A modified L-scheme to solve nonlinear diffusion problems

K. Mitra and I.S. Pop
Computers & Mathematics with Applications 77 (6) 1722 (2019)
DOI: 10.1016/j.camwa.2018.09.042
See this article

On a numerical approach to Stefan-like problems

Genevi�ve Amiez and Pierre-Alain Gremaud
Numerische Mathematik 59 (1) 71 (1991)
DOI: 10.1007/BF01385771
See this article

Finite element approximations of singular parabolic problems

M. Paolini, G. Sacchi and C. Verdi
International Journal for Numerical Methods in Engineering 26 (9) 1989 (1988)
DOI: 10.1002/nme.1620260907
See this article

The diffusive limit of two velocity models: The porous medium equation

V. Comincioli, G. Naldi and G. Toscani
Transport Theory and Statistical Physics 26 (1-2) 49 (1997)
DOI: 10.1080/00411459708221774
See this article

Adaptive higher-order space-time discontinuous Galerkin method for the computer simulation of variably-saturated porous media flows

Vít Dolejší, Michal Kuraz and Pavel Solin
Applied Mathematical Modelling 72 276 (2019)
DOI: 10.1016/j.apm.2019.02.037
See this article

Preconditioned Implicit Solvers for Nonlinear PDEs in Monument Conservation

Matteo Semplice
SIAM Journal on Scientific Computing 32 (5) 3071 (2010)
DOI: 10.1137/100785417
See this article

A Fully Discrete Adaptive Nonlinear Chernoff Formula

R. H. Nochetto, M. Paolini and C. Verdi
SIAM Journal on Numerical Analysis 30 (4) 991 (1993)
DOI: 10.1137/0730052
See this article

Co-volume methods for degenerate parabolic problems

Lisa A. Baughman and Noel J. Walkington
Numerische Mathematik 64 (1) 45 (1993)
DOI: 10.1007/BF01388680
See this article

Yong Zhou, Timo Nyberg, Gang Xiong and Dan Liu
678 (2016)
DOI: 10.1109/ICISCE.2016.150
See this article

Ricardo H. Nochetto
287 (1989)
DOI: 10.1007/978-3-0348-9148-6_14
See this article

The Gradient Discretization Method for Slow and Fast Diffusion Porous Media Equations

Jérôme Droniou and Kim-Ngan Le
SIAM Journal on Numerical Analysis 58 (3) 1965 (2020)
DOI: 10.1137/19M1260165
See this article

Finite element and neural network models for process optimization in selective laser sintering

E Boillat, S Kolossov, R Glardon, M Loher, D Saladin and G Levy
Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 218 (6) 607 (2004)
DOI: 10.1243/0954405041167121
See this article

An adaptive finite element algorithm for a two-dimensional stationary Stefan-like problem

M. Picasso
Computer Methods in Applied Mechanics and Engineering 124 (3) 213 (1995)
DOI: 10.1016/0045-7825(95)00793-Z
See this article

Continuous and semidiscrete travelling waves for a phase relaxation model

Ricardo H. Nochetto, Maurizio Paolini and Claudio Verdi
European Journal of Applied Mathematics 5 (2) 177 (1994)
DOI: 10.1017/S095679250000139X
See this article

3D FE simulation for temperature evolution in the selective laser sintering process

S. Kolossov, E. Boillat, R. Glardon, P. Fischer and M. Locher
International Journal of Machine Tools and Manufacture 44 (2-3) 117 (2004)
DOI: 10.1016/j.ijmachtools.2003.10.019
See this article

Solution of doubly nonlinear and degenerate parabolic problems by relaxation schemes

W. Jäger and J. Kačur
ESAIM: Mathematical Modelling and Numerical Analysis 29 (5) 605 (1995)
DOI: 10.1051/m2an/1995290506051
See this article

A linear scheme to approximate nonlinear cross-diffusion systems

Hideki Murakawa
ESAIM: Mathematical Modelling and Numerical Analysis 45 (6) 1141 (2011)
DOI: 10.1051/m2an/2011010
See this article

Finite element approximation for degenerate parabolic equations. an application of nonlinear semigroup theory

Akira Mizutani, Norikazu Saito and Takashi Suzuki
ESAIM: Mathematical Modelling and Numerical Analysis 39 (4) 755 (2005)
DOI: 10.1051/m2an:2005033
See this article

An implicit scheme to solve a system of ODEs arising from the space discretization of nonlinear diffusion equations

Éric Boillat
ESAIM: Mathematical Modelling and Numerical Analysis 35 (4) 749 (2001)
DOI: 10.1051/m2an:2001134
See this article

Numerical analysis of nonlinear elliptic-parabolic equations

Emmanuel Maitre
ESAIM: Mathematical Modelling and Numerical Analysis 36 (1) 143 (2002)
DOI: 10.1051/m2an:2002006
See this article

Optimal error estimates for semidiscrete phase relaxation models

Xun Jiang and Ricardo H. Nochetto
ESAIM: Mathematical Modelling and Numerical Analysis 31 (1) 91 (1997)
DOI: 10.1051/m2an/1997310100911
See this article