Zobrazeno 1 - 10
of 5 444
pro vyhledávání: '"Petrides A"'
Autor:
Petrides, Romain
We prove the existence of optimal metrics for a wide class of combinations of Laplace eigenvalues on closed orientable surfaces of any genus. The optimal metrics are explicitely related to Laplace minimal eigenmaps, defined as branched minimal immers
Externí odkaz:
http://arxiv.org/abs/2410.13347
Autor:
Huang, Haiyue, Sarker, Mamun, Zahl, Percy, Hellberg, C. Stephen, Levy, Jeremy, Petrides, Ioannis, Sinitskii, Alexander, Narang, Prineha
Graphene nanoribbons (GNRs) are unique quasi-one-dimensional (1D) materials that have garnered a lot of research interest in the field of topological insulators. While the topological phases exhibited by GNRs are primarily governed by their chemical
Externí odkaz:
http://arxiv.org/abs/2406.13978
Autor:
Petrides, Romain, Tewodrose, David
We set up a new framework to study critical points of functionals defined as combinations of eigenvalues of operators with respect to a given set of parameters: Riemannian metrics, potentials, etc. Our setting builds upon Clarke's differentiation the
Externí odkaz:
http://arxiv.org/abs/2403.07841
This work highlights an approach for incorporating realistic uncertainties into scientific computing workflows based on finite elements, focusing on applications in computational mechanics and design optimization. We leverage Mat\'ern-type Gaussian r
Externí odkaz:
http://arxiv.org/abs/2403.03658
Autor:
Andrej, Julian, Atallah, Nabil, Bäcker, Jan-Phillip, Camier, John, Copeland, Dylan, Dobrev, Veselin, Dudouit, Yohann, Duswald, Tobias, Keith, Brendan, Kim, Dohyun, Kolev, Tzanio, Lazarov, Boyan, Mittal, Ketan, Pazner, Will, Petrides, Socratis, Shiraiwa, Syun'ichi, Stowell, Mark, Tomov, Vladimir
The MFEM (Modular Finite Element Methods) library is a high-performance C++ library for finite element discretizations. MFEM supports numerous types of finite element methods and is the discretization engine powering many computational physics and en
Externí odkaz:
http://arxiv.org/abs/2402.15940
Reciprocal and nonreciprocal effects in dielectric and magnetic materials provide crucial information about the microscopic properties of electrons. However, experimentally distinguishing the two has proven to be challenging, especially when the asso
Externí odkaz:
http://arxiv.org/abs/2310.16174
Autor:
Dzanic, Tarik, Mittal, Ketan, Kim, Dohyun, Yang, Jiachen, Petrides, Socratis, Keith, Brendan, Anderson, Robert
We introduce DynAMO, a reinforcement learning paradigm for Dynamic Anticipatory Mesh Optimization. Adaptive mesh refinement is an effective tool for optimizing computational cost and solution accuracy in numerical methods for partial differential equ
Externí odkaz:
http://arxiv.org/abs/2310.01695
The unusual magnetoelectric transport present in Weyl semimetals can be compactly understood as manifestations of an underlying axion field, which itself is determined by the microscopic band structure. The axion couples nonlinearly to electric and m
Externí odkaz:
http://arxiv.org/abs/2306.00064
Autor:
Bollapragada, Raghu, Karamanli, Cem, Keith, Brendan, Lazarov, Boyan, Petrides, Socratis, Wang, Jingyi
The primary goal of this paper is to provide an efficient solution algorithm based on the augmented Lagrangian framework for optimization problems with a stochastic objective function and deterministic constraints. Our main contribution is combining
Externí odkaz:
http://arxiv.org/abs/2305.01018
Autor:
Petrides, Romain
We give a sufficient condition for branched minimal immersions of spheres into ellipsoids to be embedded: we show that if the coordinate functions of the branched minimal immersion are first or second eigenfunctions with respect to a natural metric o
Externí odkaz:
http://arxiv.org/abs/2304.12119