journal article·1985

On the Shwarz alternating method in problems of elastic stability

A. Azarkhin

Journal of Elasticity· Volume 15· Issue 3
Publisher page

Abstract

No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.

Source: Not provided · Quality: missing

Research context

OpenAlex topics: Numerical methods in inverse problems · Advanced Optimization Algorithms Research · Matrix Theory and Algorithms

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (15)

Show source-provided references
1. R. Courant and D. Hilbert, Methoden der Mathematischen Physik II, Berlin (1937).10.1007/978-3-642-47434-7 ↗
2. S.L. Sobolev, On the Shwarz method in elasticity theory, ? AH CCCP 6(4) (1936) (in Russian).
3. K. Kalik, On convergence of the Shwarz algorithm, ??????, Matem. (1959) (1) (in Russian).
4. N. Nikolsky, The Shwarz method in elasticity theory problems with the given traction vector on the boundary, ?AH CCCP 135(3) (1960) (in Russian).
5. S. Ja. Cogan, On alternative Shwarz method in three dimensional elasticity theory, IZV. AN SSSR (1956) (3) (in Russian).
6. S.G. Mikhlin, Variational Methods in Mathematical Physics, Pergamon Press, N.Y. (1964).
7. S.L. Sobolev, Applications of Functional Analysis in Mathematical Physics, Amer. Math. So., Providence, R.I. (1963).10.1090/mmono/007 ↗
8. S.G. Mikhlin and K.L. Smolitsky, Approximate Methods for Solution of Differential and Integral Equations, Amer. Elsevier Publ. Co., N.Y. (1967).
9. R.P. Brent, Algorithms for finding zeros and extrema of functions without calculating derivatives, Stanford Univ., Tech. Report CS-71-198 (1971).
10. R. Fletcher and M.J. Powel, A rapidly convergent descent method for minimization, Computer J. 6(2) (1963) 163?168.10.1093/comjnl/6.2.163 ↗
11. R. Fletcher and C.M. Reeves, Function minimization by conjugate gradients, Computer J. 7(2) (1964) 149?154.10.1093/comjnl/7.2.149 ↗
12. A.A. Goldstein and J.F. Price, An effective Algorithm for minimization, Numer. Math. 10 (1967) 184?189.10.1007/BF02162162 ↗
13. J. Bracken and G.P. McCormick, Selected Applications of Nonlinear Programming, J. Wiley & Sons (1968).
14. S.P. Timoshenko and D.H. Young, Theory of Structures, McGraw-Hill (1965).
15. H. Cross, Analysis of continuous frames by distributing fixed-end moments, Trans. ASCE, 96 (1932).10.1061/TACEAT.0004333 ↗