A note on the approximation of free boundaries by finite element methods
ESAIM: M2AN, 20 2 (1986) 355-368
Published online: 2017-01-31
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):
1584 213 (1994)
DOI: 10.1007/BFb0073398
See this article
Isothermal water flows in low porosity porous media in presence of vapor–liquid phase change
A. Farina, J. Bodin, T. Clopeau, A. Fasano, L. Meacci and A. MikelićNonlinear Analysis: Real World Applications 15 306 (2014)
DOI: 10.1016/j.nonrwa.2011.11.021
See this article
Error estimates for multidimensional singular parabolic problems
Ricardo H. NochettoJapan Journal of Applied Mathematics 4 (1) 111 (1987)
DOI: 10.1007/BF03167758
See this article
Convergence of the approximate free boundary for the multidimensional one-phase Stefan problem
P. Pietra and C. VerdiComputational Mechanics 1 (2) 115 (1986)
DOI: 10.1007/BF00277696
See this article
Pointwise accuracy of a finite element method for nonlinear variational inequalities
Ricardo H. NochettoNumerische Mathematik 54 (6) 601 (1989)
DOI: 10.1007/BF01396485
See this article
Convergence rates for the classical, thin and fractional elliptic obstacle problems
Ricardo H. Nochetto, Enrique Otárola and Abner J. SalgadoPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 373 (2050) 20140449 (2015)
DOI: 10.1098/rsta.2014.0449
See this article
Convergence Past Singularities for a Fully Discrete Approximation of Curvature-Driven Interfaces
Ricardo H. Nochetto and Claudio VerdiSIAM Journal on Numerical Analysis 34 (2) 490 (1997)
DOI: 10.1137/S0036142994269526
See this article
4 37 (2013)
DOI: 10.1007/978-88-470-2592-9_5
See this article
Optimal error estimates for an approximation of degenerate parabolic problems
Claudio VerdiNumerical Functional Analysis and Optimization 9 (5-6) 657 (1987)
DOI: 10.1080/01630568708816253
See this article
A two level algorithm for an obstacle problem
Fei Wang, Joseph Eichholz and Weimin HanApplied Mathematics and Computation 330 65 (2018)
DOI: 10.1016/j.amc.2018.02.030
See this article
One-dimensional implicit moving boundary problems: A new front tracking approach
Uwe StreitNumerical Functional Analysis and Optimization 12 (3-4) 413 (1991)
DOI: 10.1080/01630569108816438
See this article
The combined use of a nonlinear chernoff formula with a regularization procedure for two-phase stefan problems
R. H. Nochetto and C. VerdiNumerical Functional Analysis and Optimization 9 (11-12) 1177 (1988)
DOI: 10.1080/01630568808816279
See this article
SharpL ?-error estimates for semilinear elliptic problems with free boundaries
Ricardo H. NochettoNumerische Mathematik 54 (3) 243 (1989)
DOI: 10.1007/BF01396760
See this article
Convergence of free boundaries in discrete obstacle problems
Yongmin ZhangNumerische Mathematik 106 (1) 157 (2007)
DOI: 10.1007/s00211-006-0052-z
See this article
On the optimal control for a semilinear equation with cost depending on the free boundary
Jésus Ildefonso Díaz, Tommaso Mingazzini and Ángel Manuel RamosNetworks & Heterogeneous Media 7 (4) 605 (2012)
DOI: 10.3934/nhm.2012.7.605
See this article
Approximation of Degenerate Parabolic Problems Using Numerical Integration
Ricardo H. Nochetto and Claudio VerdiSIAM Journal on Numerical Analysis 25 (4) 784 (1988)
DOI: 10.1137/0725046
See this article
The Gradient Discretization Method for Slow and Fast Diffusion Porous Media Equations
Jérôme Droniou and Kim-Ngan LeSIAM Journal on Numerical Analysis 58 (3) 1965 (2020)
DOI: 10.1137/19M1260165
See this article
Numerical methods with interface estimates for the porous medium equation
David Hoff and Bradley J. LucierESAIM: Mathematical Modelling and Numerical Analysis 21 (3) 465 (1987)
DOI: 10.1051/m2an/1987210304651
See this article
A shape optimization approach for simulating contact of elastic membranes with rigid obstacles
Akriti Sharma and Ramsharan RangarajanInternational Journal for Numerical Methods in Engineering 117 (4) 371 (2019)
DOI: 10.1002/nme.5960
See this article
A Quadratic $C^0$ Interior Penalty Method for the Displacement Obstacle Problem of Clamped Kirchhoff Plates
Susanne C. Brenner, Li-Yeng Sung, Hongchao Zhang and Yi ZhangSIAM Journal on Numerical Analysis 50 (6) 3329 (2012)
DOI: 10.1137/110845926
See this article
Finite element approximations of singular parabolic problems
M. Paolini, G. Sacchi and C. VerdiInternational Journal for Numerical Methods in Engineering 26 (9) 1989 (1988)
DOI: 10.1002/nme.1620260907
See this article
A regularization of a reaction–diffusion system approximation to the two-phase Stefan problem
Hideki MurakawaNonlinear Analysis: Theory, Methods & Applications 69 (10) 3512 (2008)
DOI: 10.1016/j.na.2007.09.038
See this article
Regularity properties for p−dead core problems and their asymptotic limit as p→∞
João Vitor da Silva, Julio D. Rossi and Ariel M. SalortJournal of the London Mathematical Society 99 (1) 69 (2019)
DOI: 10.1112/jlms.12161
See this article
A Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates
Susanne C. Brenner, Li-yeng Sung, Hongchao Zhang and Yi ZhangJournal of Computational and Applied Mathematics 254 31 (2013)
DOI: 10.1016/j.cam.2013.02.028
See this article
An efficient linear scheme to approximate parabolic free boundary problems: error estimates and implementation
Ricardo H. Nochetto and Claudio VerdiMathematics of Computation 51 (183) 27 (1988)
DOI: 10.1090/S0025-5718-1988-0942142-0
See this article
Fully Localized A posteriori Error Estimators and Barrier Sets for Contact Problems
Ricardo H. Nochetto, Kunibert G. Siebert and Andreas VeeserSIAM Journal on Numerical Analysis 42 (5) 2118 (2005)
DOI: 10.1137/S0036142903424404
See this article
On numerical simulation of the continuous casting process
E. Laitinen and P. Neittaanm�kiJournal of Engineering Mathematics 22 (4) 335 (1988)
DOI: 10.1007/BF00058513
See this article
4 313 (1996)
DOI: 10.1016/S1570-8659(96)80005-6
See this article
A partition of unity method for the displacement obstacle problem of clamped Kirchhoff plates
Susanne C. Brenner, Christopher B. Davis and Li-yeng SungJournal of Computational and Applied Mathematics 265 3 (2014)
DOI: 10.1016/j.cam.2013.09.033
See this article