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1.
V. Kornas V. Schulz-von der Gathen T. Bornemann H. F. Döbele G. Prosz 《Plasma Chemistry and Plasma Processing》1991,11(2):171-184
The application of coherent anti-Stokes Raman spectroscopy (CARS) to an electric are test reactor is described in which acetylene synthesis in analogy to the large-scale industrial process is .studied. We report on spatially resolved measurements of H2-CARS spectra, the comparison with calculated spectra, and the determination of temperatures in the reaction zone.Dedicated to Prof. Rudolf Wienecke on the occasion of his 65 birthday. 相似文献
2.
3.
The cascadic multigrid method for elliptic problems 总被引:23,自引:0,他引:23
Summary. The paper deals with certain adaptive multilevel methods at the confluence of nested multigrid methods and iterative methods
based on the cascade principle of [10]. From the multigrid point of view, no correction cycles are needed; from the cascade
principle view, a basic iteration method without any preconditioner is used at successive refinement levels. For a prescribed
error tolerance on the final level, more iterations must be spent on coarser grids in order to allow for less iterations on
finer grids. A first candidate of such a cascadic multigrid method was the recently suggested cascadic conjugate gradient method of [9], in short CCG method, whichused the CG method as basic iteration method on each level. In [18] it has been proven,
that the CCG method is accurate with optimal complexity for elliptic problems in 2D and quasi-uniform triangulations. The
present paper simplifies that theory and extends it to more general basic iteration methods like the traditional multigrid
smoothers. Moreover, an adaptive control strategy for the number of iterations on successive refinement levels for possibly
highly non-uniform grids is worked out on the basis of a posteriori estimates. Numerical tests confirm the efficiency and
robustness of the cascadic multigrid method.
Received November 12, 1994 / Revised version received October 12, 1995 相似文献
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K. Bornemann 《Fresenius' Journal of Analytical Chemistry》1914,53(8):510-512
Ohne Zusammenfassung 相似文献
6.
We propose an extension of the charge transfer model of surface enhanced Raman scattering (SERS) at silver surfaces. Within an incoherent approximation we include propagating hot electrons, created or annihilated by increased photon-electron coupling at disordered (internal) surfaces. The hot electrons are inelastically scattered by the adsorbates. In “shape resonances” of the free molecule the corresponding cross section is 14 orders of magnitude larger than the ordinary Raman cross section. We list results related to photon-electron coupling and inelastic scattering of electrons by molecules and discuss open problems. 相似文献
7.
G. Bornemann 《Fresenius' Journal of Analytical Chemistry》1893,32(1):600-601
Ohne Zusammenfassung 相似文献
8.
The Car-Parrinello method for ab-initio molecular dynamics avoids the explicit minimization of energy functionals given by
functional density theory in the context of the quantum adiabatic approximation (time-dependent Born-Oppenheimer approximation).
Instead, it introduces a fictitious classical dynamics for the electronic orbitals. For many realistic systems this concept
allowed first-principle computer simulations for the first time. In this paper we study the quantitative influence of the involved parameter , the fictitious electronic mass of the method. In particular, we prove by use of a carefully chosen two-time-scale asymptotics
that the deviation of the Car-Parrinello method from the adiabatic model is of order – provided one starts in the ground state of the electronic system and the electronic excitation spectrum satisfies a certain
non-degeneracy condition. Analyzing a two-level model problem we prove that our result cannot be improved in general.
Received June 14, 1996 相似文献
9.