@article{M2AN_2000__34_4_775_0,
author = {Chen, Zhiming and Nochetto, Ricardo H. and Schmidt, Alfred},
title = {Error control and adaptivity for a phase relaxation model},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {775--797},
year = {2000},
publisher = {Dunod},
volume = {34},
number = {4},
mrnumber = {1784485},
zbl = {0965.65114},
language = {en},
url = {https://www.numdam.org/item/M2AN_2000__34_4_775_0/}
}
TY - JOUR AU - Chen, Zhiming AU - Nochetto, Ricardo H. AU - Schmidt, Alfred TI - Error control and adaptivity for a phase relaxation model JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2000 SP - 775 EP - 797 VL - 34 IS - 4 PB - Dunod UR - https://www.numdam.org/item/M2AN_2000__34_4_775_0/ LA - en ID - M2AN_2000__34_4_775_0 ER -
%0 Journal Article %A Chen, Zhiming %A Nochetto, Ricardo H. %A Schmidt, Alfred %T Error control and adaptivity for a phase relaxation model %J ESAIM: Modélisation mathématique et analyse numérique %D 2000 %P 775-797 %V 34 %N 4 %I Dunod %U https://www.numdam.org/item/M2AN_2000__34_4_775_0/ %G en %F M2AN_2000__34_4_775_0
Chen, Zhiming; Nochetto, Ricardo H.; Schmidt, Alfred. Error control and adaptivity for a phase relaxation model. ESAIM: Modélisation mathématique et analyse numérique, Tome 34 (2000) no. 4, pp. 775-797. https://www.numdam.org/item/M2AN_2000__34_4_775_0/
[1] and , Residual type a posteriori error estimates for elliptic obstacle problems. Numer. Math. 84 (2000) 527-548. | Zbl | MR
[2] , and , Adaptive finite element methods for diffuse interface models (in preparation).
[3] , The Finite Element Method for Elliptic Problems. North-Holland, Amsterdam (1978). | Zbl | MR
[4] , Approximation by finite element functions using local regularization. RAIRO Anal. Numér. 9 (1975) 77-84. | Zbl | MR | Numdam
[5] and , Adaptive finite element methods for parabolic problems. I. A linear model problem. SIAM J. Numer. Anal. 28 (1991) 43-77. | Zbl | MR
[6] and , Adaptive finite element methods for parabolic problems. IV. Nonlinear problems. SIAM J. Numer. Anal. 32 (1995) 1729-1749. | Zbl | MR
[7] , and , Adaptive finite element methods for parabolic problems. VI. Analytic semigroups. SIAM J. Numer. Anal 35 (1998) 1315-1325. | Zbl | MR
[8] , Elliptic Problems on Non-smooth Domains. Pitman, Boston (1985). | Zbl
[9] and , Optimal error estimates for semidiscrete phase relaxation models. RAIRO Model. Math. Anal. Numér. 31 (1997) 91-120. | Zbl | MR | Numdam
[10] and , A P1 - P1 finite element method for a phase relaxation model. I. Quasi uniform mesh. SIAM J. Numer. Anal. 35 (1998) 1176-1190. | Zbl | MR
[11] , and , A Pl - P1 finite element method for a phase relaxation model. II. Adaptively refined meshes. SIAM J. Numér. Anal. 36 (1999) 974-999. | Zbl | MR
[12] , and , Continuous and semidiscrete traveling waves for a phase relaxation model. European J. Appl. Math. 5 (1994) 177-199. | Zbl | MR
[13] , and , Error control for nonlinear evolution equations. C.R. Acad. Sci. Paris Sér. I 326 (1998) 1437-1442. | Zbl | MR
[14] , and , A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations. Comm. Pure Appl. Math. 53 (2000) 529-589. | Zbl | MR
[15] , and , A posteriori error estimation and adaptivity for degenerate parabolic problems. Math. Comp. 69 (2000) 1-24. | Zbl | MR
[16] and , Numerical analysis of the multidimensional Stefan problem with supercooling and superheating. Boll. Un. Mat. Ital. B 7 (1987) 795-814. | Zbl | MR
[17] and , Error estimates for a semi-explicit numerical scheme for Stefan-type problems. Numer. Math. 52 (1988) 165-185. | Zbl | MR
[18] , Stefan problem with phase relaxation. IMA J. Appl. Math. 34 (1985) 225-245. | Zbl | MR
[19] , Supercooling and superheating effects in phase transitions. IMA J. Appl. Math. 35 (1986) 233-256. | Zbl | MR






