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111.
We consider a mathematical model which describes the bilateral contact between a deformable body and an obstacle. The process
is quasistatic, the material is assumed to be viscoelastic with long memory and the friction is modeled with Tresca’s law.
The problem has a unique weak solution. Here we study spatially semi-discrete and fully discrete schemes using finite differences
and finite elements. We show the convergence of the schemes under the basic solution regularity and we derive order error
estimates. Finally, we present an algorithm for the numerical realization and simulations for a two-dimensional test problem. 相似文献
112.
We consider the problem of minimizing an extended-valued convex function on a locally convex space subject to a finite number of linear (in)equalities. When the standard constraint qualification fails a reduction technique is needed to derive necessary optimality conditions. Facial reduction is usually applied in the range of the constraints. In this paper it is applied in the domain space, thus maintaining any structure (and in particular lattice properties) of the underlying domain. Applications include constrained approximation and best entropy estimation.Research partially supported by the Natural Sciences and Engineering Research Council of Canada. 相似文献
113.
Summary. In shape optimization problems, each computation of
the cost function by the finite element method
leads to an expensive analysis. The use of the second order derivative
can help to reduce the number of analyses. Fujii ([4], [10])
was the first to study this problem. J. Simon [19] gave the second order
derivative for the Navier-Stokes
problem, and the authors describe in [8], [11], a method which gives an
intrinsic expression of the first and second order derivatives on the
boundary
of the involved domain.
In this paper we study higher order derivatives. But one can ask
the following questions:
-- are they expensive to calculate?
-- are they complicated to use?
-- are they imprecise?
-- are they useless?
\medskip\noindent
At first sight, the answer seems to be positive, but classical results of
V. Strassen [20] and J. Morgenstern [13] tell us that the higher order
derivatives are not expensive to calculate, and can be computed
automatically. The purpose of this paper is to give an answer to the third
question by proving that the higher order derivatives of a function can be
computed with the same precision as the function itself.
We prove also that the derivatives so computed are
equal to the derivatives of the discrete problem (see Diagram 1). We
call the discrete
problem the finite dimensional problem processed by the computer. This result
allows the use of automatic differentiation ([5], [6]), which works only on
discrete problems.
Furthermore, the computations of Taylor's expansions
which are proposed at the end of this paper, could be a partial answer to
the last question.
Received January 27, 1993/Revised version received July 20, 1993 相似文献
114.
Wend Werner 《Integral Equations and Operator Theory》1992,15(3):496-502
We determine the smooth points of certain spaces of bounded operatorsL(X,Y), including the cases whereX andY arel
p
-orc
0-direct sums of finite dimensional Banach spaces or subspaces of the latter enjoying the metric compact approximation property. We also remark that the operators not attaining their norm are nowhere dense inL(X,Y) wheneverK(X,Y) is anM-ideal inL(X,Y). 相似文献
115.
Barbara Bianconi Matteo Focardi Elvira Mascolo 《Annali di Matematica Pura ed Applicata》2002,180(4):493-510
We study the lower semicontinuity properties of non-autonomous variational integrals whose energy densities satisfy general
growth conditions. We apply these results to solve Dirichlet’s boundary value problems for such functionals.
Received: June 14, 2000; in final form: November 25, 2000 Published online: December 19, 2001 相似文献
116.
Dmitry B. Silin 《Monatshefte für Mathematik》1997,124(4):343-364
Using the second Fenchel conjugate transform the conjugate integral sums and the conjugate integral are introduced. An estimate of speed of convergence of the sums to the integral is obtained. In the case of a convex integrant the conjugate integral reduces to the Riemannian one. It is proved that the Fenchel conjugate transform of the conjugate integral with variable upper limit provides a formula for the viscosity solution to a Hamilton-Jacobi equation in which the Hamiltonian depends both on time and the gradient of the unknown function. In the autonomous case the obtained formula coincides with Hopf's one. Two examples are considered in which an application of the conjugate integral allows to find viscosity solutions explicitly. It is shown how the extension of the Lax-Oleînik formula to the nonautonomous case may be obtained using the generalized Hopf formula.This paper was prepared while the author was a Lise Meitner fellow at the Institut für Mathematik, Karl-Franzens-Universität Graz, Austria 相似文献
117.
一个新的凋亡抑制蛋白P49的表达及氨基酸序列分析 总被引:1,自引:0,他引:1
从海灰翅夜蛾核型多角体病毒(SpliNPV)中新发现的p49基因可抑制病毒感染引起的草地贪夜蛾细胞Sf9的凋亡,用杆状病毒表达系统Bac to Bac克隆表达并收获P49蛋白,发现所测定的表达蛋白的氨基酸序列与由核苷酸推导的氨基酸序列一致,证明p49基因经克隆转染后得到正确表达,P49蛋白上-^91TVTDG^95-氨基酸序列为Caspase识别结构,比较P35与P49蛋白,两蛋白同源性约为48.8%,且都具Caspase识别和切割的氨基酸序列。 相似文献
118.
Dinh The Luc 《Mathematical Programming》1991,50(1-3):99-111
In this paper we investigate contingent derivatives of set-valued maps and their lower and upper semidifferentiability properties. We provide also some calculus rules for these derivatives in infinite dimensional spaces. The concept of contingent derivatives is then applied to produce several necessary and sufficient conditions for vector optimization problems with set-valued objectives.This paper was written when the author was at the University of Erlangen-Nurnberg under a grant of the Alexander von Humboldt Foundation.On leave from the Institute of Mathematics, Hanoi, Vietnam. 相似文献
119.
Darya Apushkinskaya Michael Bildhauer Martin Fuchs 《Journal of Mathematical Fluid Mechanics》2005,7(2):261-297
We consider the stationary flow of a generalized Newtonian fluid which is modelled by an anisotropic dissipative potential f. More precisely, we are looking for a solution
of the following system of nonlinear partial differential equations
Here
denotes the pressure, g is a system of volume forces, and the tensor T is the gradient of the potential f. Our main hypothesis imposed on f is the existence of exponents 1 < p q0 < such that
holds with constants , > 0. Under natural assumptions on p and q0 we prove the existence of a weak solution u to the problem (*), moreover we prove interior C1,-regularity of u in the two-dimensional case. If n = 3, then interior partial regularity is established. 相似文献
((*)) |
120.
Let A be a unital algebra and M be a unital A-bimodule. A linear map δ : A →M is said to be Jordan derivable at a nontrivial idempotent P ∈ A if δ(A) ? B + A ? δ(B) =δ(A ? B) for any A, B ∈ A with A ? B = P, here A ? B = AB + BA is the usual Jordan product. In this article, we show that if A = Alg N is a Hilbert space nest algebra and M = B(H), or A = M = B(X), then, a linear map δ : A → M is Jordan derivable at a nontrivial projection P ∈ N or an arbitrary but fixed nontrivial idempotent P ∈ B(X) if and only if it is a derivation. New equivalent characterization of derivations on these operator algebras was obtained. 相似文献