Effects of uncertainties in the domain on the solution of Dirichlet boundary value problems

Numerische Mathematik

Volumn 93, Issue 4, 2003, Pages 583-610

  Babuška, Ivo ^a   Chleboun, Jan ^b  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b MATHEMATICAL INSTITUTE   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242473086     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110200400     Document Type: Article

References (10)

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2. I. Babuška: Stability of domains with respect to basic problems in the theory of partial differential equations, mainly the theory of elasticity, II. Czechoslovak Math. J. 11(86), 165-203 (1961) (Russian)
3. I. Babuška, J. Chleboun: Effects of uncertainties in the domain on the solution of Neumann boundary value problems in two spatial dimensions. Math. Comp. (to appear)
4. I. Babuška, J. Pitkäranta: The plate paradox for hard and soft simple support. SIAM J. Math. Anal. 21, 551-576 (1990)
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7. J. Hadamard: Lectures on Cauchy's Problem in Linear Partial Differential Equations. Yale Univ. Press, New Haven, CI (1923), Reprinted, Dover, 1952
8. J. Haslinger, P. Neittaanmäki: Finite Element Approximation for Optimal Shape, Material and Topology Design, 2nd edition, John Wiley and Sons, Chichester (1996)
9. V. G. Maz'ja: Sobolev Spaces. Springer-Verlag, Berlin (1985)
10. P. J. Rouche: Verification and Validation in Computational Science and Engineering. Hermosa Publishers, Albuquerke N.M., USA (1998)