Výsledky vyhledávání - "Marc Dambrine"

Bernoulli Free Boundary Problems Under Uncertainty: The Convex Case

Autor: Marc Dambrine, Helmut Harbrecht, Benedicte Puig

Publikováno v: Computational Methods in Applied Mathematics. 23:333-352

The present article is concerned with solving Bernoulli’s exterior free boundary problem in the case of an interior boundary that is random. We provide a new regularity result on the map that sends a parametrization of the inner boundary to a param

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d99edbf08cd6bef32d45a713a761154a
https://doi.org/10.1515/cmam-2022-0038

Zobrazit plný text záznamu

A stochastic regularized second-order iterative scheme for optimal control and inverse problems in stochastic partial differential equations

Autor: Marc Dambrine, Akhtar A. Khan, Miguel Sama

Publikováno v: Philosophical transactions. Series A, Mathematical, physical, and engineering sciences. 380(2236)

Numerous applied models used in the study of optimal control problems, inverse problems, shape optimization, machine learning, fractional programming, neural networks, image registration and so on lead to stochastic optimization problems in Hilbert s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ff8050622f2e6e00476b94384369e2a
https://pubmed.ncbi.nlm.nih.gov/36154473

Zobrazit plný text záznamu

Shape Derivative for Some Eigenvalue Functionals in Elasticity Theory

Autor: Fabien Caubet, Marc Dambrine, Rajesh Mahadevan

Publikováno v: SIAM Journal on Control and Optimization. 59:1218-1245

This work is the second part of a previous paper which was devoted to scalar problems. Here we study the shape derivative of eigenvalue problems of elasticity theory for various kinds of boundary c...

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a49e8184dbc19716c3cc356b88583700
https://doi.org/10.1137/20m1343105

Zobrazit plný text záznamu

Shape sensitivity of eigenvalue functionals for scalar problems: computing the semi-derivative of a minimum

Autor: Fabien Caubet, Marc Dambrine, Rajesh Mahadevan

Publikováno v: Applied Mathematics and Optimization
Applied Mathematics and Optimization, In press

International audience; This paper is devoted to the computation of certain directional semi-derivatives of eigenvalue functionals of self-adjoint elliptic operators involving a variety of boundary conditions. A uniform treatment of these problems is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f1054431d95089dc4c406b18b4f488d
https://hal.science/hal-02511124

Zobrazit plný text záznamu

Global representation and multiscale expansion for the Dirichlet problem in a domain with a small hole close to the boundary

Autor: Matteo Dalla Riva, Virginie Bonnaillie-Noël, Paolo Musolino, Marc Dambrine

For each pair (Formula presented.) of positive parameters, we define a perforated domain (Formula presented.) by making a small hole of size (Formula presented.) in an open regular subset (Formula presented.) of (Formula presented.) ((Formula present

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15326a04de159403d35bc89bb6e10c13
http://hdl.handle.net/10447/546027

Zobrazit plný text záznamu

A mathematical model for marine dinoflagellates blooms

Autor: G. Vallet, Marc Dambrine, Bénédicte Puig

Publikováno v: Discrete and Continuous Dynamical Systems-Series S
Discrete and Continuous Dynamical Systems-Series S, American Institute of Mathematical Sciences, 2021, 14 (2), pp.615-633. ⟨10.3934/dcdss.2020424⟩

We present a model for the life cycle of a dinoflagellate in order to describe blooms. We prove the mathematical well-posedness of the model and the possibility of extinction in finite time of the alga form meaning that the full population is under t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d343ce08d7e031edde903498bb07002
https://hal.archives-ouvertes.fr/hal-03124989

Zobrazit plný text záznamu

Shape Optimization for Composite Materials and Scaffold Structures

Autor: Helmut Harbrecht, Marc Dambrine

Publikováno v: Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2020, 18 (2), pp.1136-1152. ⟨10.1137/19M1274638⟩

This article combines shape optimization and homogenization techniques by looking for the optimal design of the microstructure in composite materials and of scaffolds. The development of materials ...

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0832e92a3e45872bb94778d0c46b77f
https://hal.archives-ouvertes.fr/hal-03125063

Zobrazit plný text záznamu

Oriented distance point of view on random sets

Autor: Marc Dambrine, Bénédicte Puig

Publikováno v: ESAIM: Control, Optimisation and Calculus of Variations
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2020, 26, pp.84. ⟨10.1051/cocv/2020007⟩

Motivated by free boundary problems under uncertainties, we consider the oriented distance function as a way to define the expectation for a random compact or open set. In order to provide a law of large numbers and a central limit theorem for this n

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2de97b28d78b1e66752d728677b4172d
https://hal.archives-ouvertes.fr/hal-02057510

Zobrazit plný text záznamu

Numerical solution of the homogeneous Neumann boundary value problem on domains with a thin layer of random thickness

Autor: Bénédicte Puig, Isabelle Greff, Helmut Harbrecht, Marc Dambrine

Publikováno v: Journal of Computational Physics
Journal of Computational Physics, Elsevier, 2017, 330, pp.943--959. ⟨10.1016/j.jcp.2016.10.044⟩

ACL; International audience; The present article is dedicated to the numerical solution of homogeneous Neumann boundary value problems on domains with a thin layer of different conductivity and of random thickness. By changing the boundary condition,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ea74348ba2395b1b59b7af4a8525619
https://doi.org/10.1016/j.jcp.2016.10.044

Zobrazit plný text záznamu

A new method for the data completion problem and application to obstacle detection

Autor: Marc Dambrine, Fabien Caubet, Helmut Harbrecht

Publikováno v: SIAM Journal on Applied Mathematics
SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2019, 79 (1), pp.415-435. ⟨10.1137/18M1186071⟩

The present article is devoted to the study of two well-known inverse problems, that is, the data completion problem and the inverse obstacle problem. The general idea is to reconstruct some boundary conditions and/or to identify an obstacle or void

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6fdef63eccb22fc9ae9f7960c56155f3

Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání