Reliable solutions of elliptic boundary value problems with respect to uncertain data

Nonlinear Analysis, Theory, Methods and Applications

Volumn 30, Issue 6, 1997, Pages 3879-3890

  Hlavacek I ^a  

^a MATHEMATICAL INSTITUTE   (Czech Republic)

Author keywords

Deformation theory of plasticity; Finite element discretization; Optimal design approach; Quasilinear elliptic problems; Uncertain data

Indexed keywords

EID: 0000448628     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(96)00236-2     Document Type: Article

References (5)

1. HLAVÁČEK I., KŘÍŽEK M. & MALÝ J., On Galerkin approximations of a quasilinear nonpotential elliptic problem of a nonmonotone type. J. Math. Anal. Appl. 184 , 168-189 (1994).
2. HLAVÁČEK I., Reliable solution of a quasilinear nonpotential elliptic problem of a nonmonotone type with respect to the uncertainty in coefficients. J. Math. Anal. Appl. (to appear).
3. HLAVÁČEK I., Reliable solutions of problems in the deformation theory of plasticity with respect to uncertain material function. Appl. Math. (to appear).
4. LANGENBACH A., Monotone Potentialoperatoren in Theorie und Anwendung. VEB Deutscher Verlag der Wissenschaften, Berlin 1976.
5. NEČAS J. & HLAVÁČEK I., Mathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction. Elsevier, Amsterdam 1981.