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A numerical method for detecting singular minimizers (1987)

Ball, J. M. ; Knowles, G.

Springer

Numerische Mathematik 51 (1987), S. 181-197

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ISSN: 0945-3245

Schlagwort(e): AMS(MOS): Primary 65k10 ; 49A10 ; 49D99 ; Secondary 73G05 ; CR: G1.6

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Summary A numerical method for computing minimizers in one-dimensional problems of the calculus of variations is described. Such minimizers may have unbounded derivatives, even when the integrand is smooth and regular. In such cases, because of the Lavrentiev phenomenon, standard finite element methods may fail to converge to a minimizer. The scheme proposed is shown to converge to an absolute minimizer and is tested on an example. The effect of quadrature is analyzed. The implications for higher-dimensional problems, and in particular for fracture in nonlinear elasticity, are discussed.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01396748

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Digitale Medien

Fourier transform infrared study of the self reaction of C2H5O2 radicals in air at 295 K (1989)

Wallington, T. J. ; Gierczak, C. A. ; Ball, J. C. ; [weitere]

New York, NY : Wiley-Blackwell

International Journal of Chemical Kinetics 21 (1989), S. 1077-1089

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Details

ISSN: 0538-8066

Schlagwort(e): Chemistry ; Physical Chemistry

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Chemie und Pharmazie

Notizen: Fourier transform infrared spectroscopy was used to identify and quantify products of the self reaction of ethylperoxy radicals, C2H5O2, formed in the photolysis of Cl2/C2H6 mixtures in 700 torr total pressure of synthetic air at 295 K. From these measurements, branching ratios for the reaction channels of k1a/(k1a + k1b) = 0.68 and k1c/(k1a + k1b + k1c) ≤ 0.06 were established. Additionally, using the relative rate technique, the rate constant for the reaction of Cl atoms with C2H5OOH was determined to be (1.07 ± 0.07) × 10-10 × cm3 molecule-1 s-1. Results are discussed with respect to the previous kinetic and mechanistic studies of C2H5O2 radicals.

Zusätzliches Material: 3 Ill.