A numerical approach to a class of unilateral elliptic problems of non-variational type

S. Finzi Vita

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1991)

  • Volume: 25, Issue: 2, page 253-269
  • ISSN: 0764-583X

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Finzi Vita, S.. "A numerical approach to a class of unilateral elliptic problems of non-variational type." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 25.2 (1991): 253-269. <http://eudml.org/doc/193627>.

@article{FinziVita1991,
author = {Finzi Vita, S.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {unilateral elliptic problems; finite element method; Convergence; error estimates},
language = {eng},
number = {2},
pages = {253-269},
publisher = {Dunod},
title = {A numerical approach to a class of unilateral elliptic problems of non-variational type},
url = {http://eudml.org/doc/193627},
volume = {25},
year = {1991},
}

TY - JOUR
AU - Finzi Vita, S.
TI - A numerical approach to a class of unilateral elliptic problems of non-variational type
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1991
PB - Dunod
VL - 25
IS - 2
SP - 253
EP - 269
LA - eng
KW - unilateral elliptic problems; finite element method; Convergence; error estimates
UR - http://eudml.org/doc/193627
ER -

References

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  2. [2] A. BENSOUSSAN - J. L. LIONS, Applications des inéquations vanationnelles en contrôle stochastique, Dunod, 1978 Zbl0411.49002MR513618
  3. [3] M. CHICCO, Solvability of the Dirichlet problem in H2,p (Ω) for a class of linear second order elliptic partial differential equations, Boll UMI, 4 (1971), 374-387 Zbl0215.45406MR298209
  4. [4] P. G. CIARLET - P. A. RAVIART, Maximum principle and uniform convergence for the finite element method, Comput. Methods Appl. Mech. Engrg., 2 (1973), 17-31. Zbl0251.65069MR375802
  5. [5] Ph. CORTEY-DUMONT, Sur les inéquations variationnelles à operateur non coercif, R.A.I.R.O.-M2AN, 19 (1985), 195-212. MR802593
  6. [6] S. FINZI VITA, L∞-error estimates for vanational inequalities with Hölder continuous obstacles, R.A.I.R.O.-Anal. Numér., 16 (1982), 27-37. Zbl0493.49011MR648743
  7. [7] S. FINZI VITA, Sul trattamento numerico di problemi ellittici di tipo non variazionale, Atti del Convegno di Anahsi Numerica (Sorrento, 1985), De Frede, Napoli (1986), 195-205. 
  8. [8] A. FRIEDMAN, Stochastic differential equations and applications (II), Academic Press, 1975. 
  9. [9] M. G. GARRONI - M. A. VIVALDI, Approximation results for bilateral nonlniear problems of non-variational type, Nonlinear Anal., 8 (1984), 301-312. Zbl0553.35039MR739661
  10. [10] M. G. GARRONI - M. A. VIVALDI, Bilateral evolution problems of non-vanational type : existence, uniqueness, Hölder regularity and approximation of solutions, Manuscripta Math., 48 (1984), 39-69. Zbl0562.35092MR753724
  11. [11] J. ORTEGA - W. RHEINBOLDT, Iterative solutions of nonlinear equations in several variables, Academic Press, 1970. Zbl0241.65046MR273810
  12. [12] J. NITSCHE, L∞-convergence of finite element approximation, Lecture Notes in Math., 606 (1977), 261-274. Zbl0362.65088MR488848
  13. [13] R. H. NOCHETTO, Approximation de problems elipticos de frontera libre, Universidad Complutense de Madrid (internal report, 1985). 
  14. [14] G. M. TROIANIELLO, Some unilatéral problems of the non-vanational type, Math. Nachr., 106 (1982), 47-62. Zbl0514.35026MR675744

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