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
core +1 more source
A Variational Approach to Particles in Lipid Membranes [PDF]
, 2016 A variety of models for the membrane-mediated interaction of particles in lipid membranes, mostly well-established in theoretical physics, is reviewed from a mathematical perspective.
Elliott, Charles M. +4 more
core +3 more sources
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.
core +4 more sources
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.
core +1 more source
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
core +4 more sources
Uniform asymptotic formulae for Green's kernels in regularly and singularly perturbed domains [PDF]
, 2006 Asymptotic formulae for Green's kernels $G_\epsilon({\bf x}, {\bf y})$ of various boundary value problems for the Laplace operator are obtained in regularly perturbed domains and certain domains with small singular perturbations of the boundary, as ...
Maz'ya, Vladimir, Movchan, Alexander B.
core +3 more sources
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
core +5 more sources
A nonlinear theory for fibre-reinforced magneto-elastic rods
, 2017 We derive a model for the finite motion of a magneto-elastic rod reinforced with isotropic (spherical) or anisotropic (ellipsoidal) inclusions. The particles are assumed weakly and uniformly magnetised, rigid and firmly embedded into the elastomeric ...
Ciambella, Jacopo +2 more
core +1 more source
Playing with Duality: An Overview of Recent Primal-Dual Approaches for Solving Large-Scale Optimization Problems [PDF]
, 2014 Optimization methods are at the core of many problems in signal/image processing, computer vision, and machine learning. For a long time, it has been recognized that looking at the dual of an optimization problem may drastically simplify its solution ...
Komodakis, Nikos +1 more
core +3 more sources
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
core +2 more sources