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991.
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Received October 10, 2000 / Published online June 1, 2001 相似文献
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Erhard Kremer 《Bl?tter der DGVFM》2000,24(3):598-599
A refined estimation procedure is given for a loss reserving method under stochastic claims inflation. 相似文献
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Marius Cocou Gilles Scarella 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2006,57(3):523-546
This work deals with the mathematical analysis of a dynamic unilateral contact problem with friction for a cracked viscoelastic
body. We consider here a Kelvin-Voigt viscoelastic material and a nonlocal friction law. To prove the existence of a solution
to the unilateral problem with friction, an auxiliary penalized problem is studied. Several estimates on the penalized solutions
are given, which enable us to pass to the limit by using compactness results.
Received: February 16, 2005 相似文献
998.
A domain decomposition method with Lagrange multipliers for the Stokes problem is developed and analysed. A common approach to solve the Stokes problem, termed the Uzawa algorithm, is to decouple the velocity and the pressure. This approach yields the Schur complement system for the pressure Lagrange multiplier which is solved with an iterative solver. Each outer iteration of the Uzawa procedure involves the inversion of a Laplacian in each spatial direction. The objective of this paper is to effectively solve this inner system (the vector Laplacian system) by applying the finite‐element tearing and interconnecting (FETI) method. Previously calculated search directions for the FETI solver are reused in subsequent outer Uzawa iterations. The advantage of the approach proposed in this paper is that pressure is continuous across the entire computational domain. Numerical tests are performed by solving the driven cavity problem. An analysis of the number of outer Uzawa iterations and inner FETI iterations is reported. Results show that the total number of inner iterations is almost numerically scalable since it grows asymptotically with the mesh size and the number of subdomains. Copyright © 2003 John Wiley & Sons, Ltd. 相似文献
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We find computable criteria for stability of symplectic leaves of Poisson manifolds. Using Poisson geometry as an inspiration,
we also give a general criterion for stability of leaves of Lie algebroids, including singular ones. This not only extends
but also provides a new approach (and proofs) to the classical stability results for foliations and group actions. 相似文献