Zobrazeno 1 - 10
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pro vyhledávání: '"Meyer, Christian P."'
Autor:
Andreia, Merlin, Meyer, Christian
We consider a rate-independent system with nonconvex energy under discontinuous external loading. The underlying space is finite dimensional and the loads are functions in $BV([0,T];\mathbb{R}^d)$. We investigate the stability of various solution con
Externí odkaz:
http://arxiv.org/abs/2308.15204
Autor:
Meyer, Christian, Müller, Annika
This paper is concerned with the finite element discretization of the data driven approach according to arXiv:1510.04232 for the solution of PDEs with a material law arising from measurement data. To simplify the setting, we focus on a scalar diffusi
Externí odkaz:
http://arxiv.org/abs/2303.05840
Autor:
Lorenzo, Guillermo, Jarrett, Angela M., Meyer, Christian T., Quaranta, Vito, Tyson, Darren R., Yankeelov, Thomas E.
Neoadjuvant chemotherapy (NAC) is a standard-of-care treatment for locally advanced triple negative breast cancer (TNBC) before surgery. The early assessment of TNBC response to NAC would enable an oncologist to adapt the therapeutic plan of a non-re
Externí odkaz:
http://arxiv.org/abs/2212.04270
This paper is concerned with an optimization problem that is constrained by the Kantorovich optimal transportation problem. This bilevel optimization problem can be reformulated as a mathematical problem with complementarity constraints in the space
Externí odkaz:
http://arxiv.org/abs/2211.07287
This paper is concerned with an optimization problem governed by the Kantorovich optimal transportation problem. This gives rise to a bilevel optimization problem, which can be reformulated as a mathematical problem with complementarity constraints i
Externí odkaz:
http://arxiv.org/abs/2206.13220
Autor:
Andreia, Merlin, Meyer, Christian
We investigate a local incremental stationary scheme for the numerical solution of rate-independent systems. Such systems are characterized by a (possibly) non-convex energy and a dissipation potential, which is positively homogeneous of degree one.
Externí odkaz:
http://arxiv.org/abs/2204.05860
Publikováno v:
SIAM Journal on Optimization 34(2), pp. 1295-1315 (2024)
We consider optimal control problems for partial differential equations where the controls take binary values but vary over the time horizon, they can thus be seen as dynamic switches. The switching patterns may be subject to combinatorial constraint
Externí odkaz:
http://arxiv.org/abs/2204.07008
Publikováno v:
SIAM Journal on Optimization 34(2), pp. 1187-1205 (2024)
We consider optimal control problems for partial differential equations where the controls take binary values but vary over the time horizon, they can thus be seen as dynamic switches. The switching patterns may be subject to combinatorial constraint
Externí odkaz:
http://arxiv.org/abs/2203.07121
We investigate the problem of optimal transport in the so-called Beckmann form, i.e. given two Radon measures on a compact set, we seek an optimal flow field which is a vector valued Radon measure on the same set that describes a flow between these t
Externí odkaz:
http://arxiv.org/abs/2201.07086
Autor:
Meyer, Christian
Asset correlations are an intuitive and therefore popular way to incorporate event dependence into event risk, e.g., default risk, modeling. In this paper we study the case of estimation of inter-sector asset correlations by separation of cross-secti
Externí odkaz:
http://arxiv.org/abs/2111.15204