On inequalities of Friedrichs and Babuška-Aziz

Meccanica

Volumn 31, Issue 5, 1996, Pages 589-596

  Velte, Waldemar ^a  

^a UNIVERSITY OF WÜRZBURG   (Germany)

Author keywords

Eigenvalue problems in variational form; Inequalities; Optimal constants; Thermomechanics of continua

Indexed keywords

EID: 0001602584     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00420828     Document Type: Article

References (11)

1. Friedrichs, K.O., 'On certain inequalities and characteristic value problems for analytic functions and for functions of two variables', Trans. Amer. Math. Soc. 41 (1937), 321-364.
2. Babuška, I. and Aziz, A.K., 'Survey lectures on the mathematical foundations of the finite element method' Chapter 5, pp. 111-184 in: A.K. Aziz (ed.), The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, Academic Press, New York, 1972.
3. Ladyzhenskaya, O.A. and Solonnikov, V.A., 'Some problems of vector analysis and generalized formulations of boundary-value problems for the Navier-Stokes equations', Soviet Math. 10 (1978), 257-286.
4. Horgan, C.O. and Payne, L.E., On inequalities of Korn, Friedrichs and Babuška-Aziz', Arch. Rat. Mech. Anal. 82 (1983), 165-179.
5. Horgan, C.O. and Knowles, J.K., 'Eigenvalue problems associated with Korn's inequalities', Arch. Rat. Mech. Anal. 40 (1971), 384-302.
6. Horgan, C.O., 'Inequalities of Korn and Friedrichs in elasticity and potential theory', Z. Angew. Math. Phys. 26 (1975), 155-164.
7. Knops, R.J. and Payne, L.E., Uniqueness Theorems in Elasticity, Springer-Verlag, Berlin, 1971.
8. Gurtin, M.E., The linear theory of elasticity', in: S. Flügge (ed.), Handbuch der Physik, VIa/2, Springer-Verlag, Berlin, 1971.
9. Fichera, G., 'Existence theorems in elasticity', in: S. Flügge (ed.), Handbuch der Physik, VIa/2, Springer-Verlag, Berlin, 1971.
10. Mikhlin, S.G., The spectrum of a family of operators in the theory of elasticity', Russ. Math. Surveys 28 (3), (1973), 43-82.
11. Girault, V. and Raviart, P.-A., Finite Element Methods for Navier- Stokes Equations, Springer-Verlag, Berlin, 1986.