"Nonsmooth Mechanics of Solids" [PDF]
, 2006 Mechanics have played an important role in mathematics, from infinitesimal calculus, calculus of variations, partial differential equations and numerical methods (finite elements). Originally, mechanics treated smooth objects.
core
Cross-points in the Dirichlet-Neumann method I: well-posedness and convergence issues. [PDF]
Numer Algorithms, 2023 Chaudet-Dumas B, Gander MJ.
europepmc +1 more source
Second-order mollified derivatives and optimization [PDF]
The class of strongly semicontinuous functions is considered. For these functions the notion of mollified derivatives, introduced by Ermoliev, Norkin and Wets, is extended to the second order.
Rocca Matteo +2 more
core
Calculus of variations and nonlinear partial differential equations [PDF]
, 2008 This volume provides the texts of lectures given by L. Ambrosio, L. Caffarelli, M. Crandall, L.C. Evans, N. Fusco at the Summer course held in Cetraro (Italy) in 2005.
Marcellini, Paolo, Dacorogna, Bernard
core +1 more source
Homogenisation of dynamical optimal transport on periodic graphs. [PDF]
Calc Var Partial Differ Equ, 2023 Gladbach P +3 more
europepmc +1 more source
Hypodifferentials of nonsmooth convex functions and their applications to nonsmooth convex optimization [PDF]
A hypodifferential is a compact family of affine mappings that defines a local max-type approximation of a nonsmooth convex function. We present a general theory of hypodifferentials of nonsmooth convex functions defined on a Banach space. In particular,
Dolgopolik, M. V.
core +1 more source
On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction. [PDF]
Comput Optim Appl, 2023 Gfrerer H +3 more
europepmc +1 more source
Regression and Classification With Spline-Based Separable Expansions. [PDF]
Front Big Data, 2022 Govindarajan N +2 more
europepmc +1 more source
Necessary optimality conditions for fractional action-like problems with intrinsic and observer times [PDF]
, 2008 We prove higher-order Euler-Lagrange and DuBois-Reymond stationary conditions to fractional action-like variational problems.
Frederico, G.S.F., Torres, D.F.M.
core +1 more source
Li-Yau inequalities for the Helfrich functional and applications. [PDF]
Calc Var Partial Differ Equ, 2023 Rupp F, Scharrer C.
europepmc +1 more source