Discrete Approximations of a Controlled Sweeping Process [PDF]
, 2014 The paper is devoted to the study of a new class of optimal control problems governed by the classical Moreau sweeping process with the new feature that the polyhe- dral moving set is not fixed while controlled by time-dependent functions.
B. S., Mordukhovich +3 more
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Second-order subdifferential calculus with applications to tilt stability in optimization [PDF]
, 2011 The paper concerns the second-order generalized differentiation theory of variational analysis and new applications of this theory to some problems of constrained optimization in finitedimensional spaces. The main attention is paid to the so-called (full
Mordukhovich, B. S., Rockafellar, R. T.
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Fourier-based schemes with modified Green operator for computing the electrical response of heterogeneous media with accurate local fields [PDF]
, 2014 A modified Green operator is proposed as an improvement of Fourier-based numerical schemes commonly used for computing the electrical or thermal response of heterogeneous media.
Abdallah, Bassam +2 more
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Constrained Nonsmooth Problems of the Calculus of Variations
, 2021 The paper is devoted to an analysis of optimality conditions for nonsmooth multidimensional problems of the calculus of variations with various types of constraints, such as additional constraints at the boundary and isoperimetric constraints.
Dolgopolik, M. V.
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Homogenization of layered materials with rigid components in single-slip finite crystal plasticity
, 2016 We determine the effective behavior of a class of composites in finite-strain crystal plasticity, based on a variational model for materials made of fine parallel layers of two types.
Christowiak, Fabian, Kreisbeck, Carolin
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Generalized gradient flow structure of internal energy driven phase field systems [PDF]
, 2015 In this paper we introduce a general abstract formulation of a variational thermomechanical model, by means of a unified derivation via a generalization of the principle of virtual powers for all the variables of the system, including the thermal one. In
Bonetti, Elena, Rocca, Elisabetta
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Multi-valued, singular stochastic evolution inclusions
, 2013 We provide an abstract variational existence and uniqueness result for multi-valued, monotone, non-coercive stochastic evolution inclusions in Hilbert spaces with general additive and Wiener multiplicative noise.
Attouch +71 more
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Sparse polynomial approximation of parametric elliptic PDEs. Part I: affine coefficients [PDF]
, 2016 We consider elliptic partial differential equations with diffusion coefficients that depend affinely on countably many parameters. We study the summability properties of polynomial expansions of the function mapping parameter values to solutions of the ...
Bachmayr, Markus +2 more
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Elastic properties of a tungsten-silver composite by reconstruction and computation
, 1999 We statistically reconstruct a three-dimensional model of a tungsten-silver composite from an experimental two-dimensional image. The effective Young's modulus ($E$) of the model is computed in the temperature range 25-1060^o C using a finite element ...
A.P. Roberts +49 more
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Generalized Multiscale Finite Element Methods for problems in perforated heterogeneous domains [PDF]
, 2015 Complex processes in perforated domains occur in many real-world applications. These problems are typically characterized by physical processes in domains with multiple scales (see Figure 1 for the illustration of a perforated domain).
Chung, Eric T. +3 more
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