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A finite element-based image segmentation strategy enhanced by an anisotropic mesh adaptation procedure is presented. The methodology relies on a split Bregman algorithm for the minimisation of a region-based energy functional and on an…

Numerical Analysis · Mathematics 2022-07-14 Matteo Giacomini , Simona Perotto

Understanding the orientation of geological structures is crucial for analyzing the complexity of the Earths' subsurface. For instance, information about geological structure orientation can be incorporated into local anisotropic…

Geophysics · Physics 2024-09-10 Ali Gholami , Silvia Gazzola

The presented article contains a 2D mesh generation routine optimized with the Metropolis algorithm. The procedure enables to produce meshes with a prescribed size h of elements. These finite element meshes can serve as standard discrete…

Numerical Analysis · Mathematics 2024-10-21 Ilona Dominika Kosinska

We show how to construct the deep neural network (DNN) expert to predict quasi-optimal $hp$-refinements for a given computational problem. The main idea is to train the DNN expert during executing the self-adaptive $hp$-finite element…

Numerical Analysis · Mathematics 2022-09-14 Tomasz Sluzalec , Rafal Grzeszczuk , Sergio Rojas , Witold Dzwinel , Maciej Paszynski

The design of specified nonlinear mechanical responses into a structure or material is a highly sought after capability, which would have a significant impact in areas such as wave tailoring in metamaterials, impact mitigation, soft…

Materials Science · Physics 2023-12-01 Brianna MacNider , Ian Frankel , Kai Qian , Alan Pozos , Aketzali Santos , H. Alicia Kim , Nicholas Boechler

Topology Optimization (TO) holds the promise of designing next-generation compact and efficient photonic components. However, ensuring the optimized designs comply with fabrication constraints imposed by semiconductor foundries remains a…

Numerical Analysis · Mathematics 2024-07-02 Rahul Kumar Padhy , Aaditya Chandrasekhar

We report a high through-put combinatorial approach to photonic metamaterial optimization. The new approach is based on parallel synthesis and consecutive optical characterization of large numbers of spatially addressable nano-fabricated…

Optics · Physics 2015-03-17 E. Plum , K. Tanaka , W. T. Chen , V. A. Fedotov , D. P. Tsai , N. I. Zheludev

Deep learning has emerged as a key tool for designing nanophotonic structures that manipulate light at sub-wavelength scales. We investigate how to inversely design plasmonic nanostructures using conditional generative adversarial networks.…

Optics · Physics 2026-05-21 Petter Persson , Nils Henriksson , Nicolò Maccaferri

We explain four variants of an adaptive finite element method with cubic splines and compare their performance in simple elliptic model problems. The methods in comparison are Truncated Hierarchical B-splines with two different refinement…

Numerical Analysis · Mathematics 2017-04-05 Paul Hennig , Markus Kästner , Philipp Morgenstern , Daniel Peterseim

The design of chiral metasurfaces with tailored optical properties remains a central challenge in nanophotonics due to the highly nonlinear relationship between geometry and chiroptical response. Machine-learning-assisted optimization…

Optics · Physics 2025-12-30 Davide Filippozzi , Arash Rahimi-Iman

Photonic nanojets (PNJs) have promising applications as optical probes in super-resolution optical microscopy, Raman microscopy, as well as fluorescence microscopy. In this work, we consider optimal design of PNJs using a heterogeneous lens…

Computational Engineering, Finance, and Science · Computer Science 2022-09-07 Amal Mohammed A Alghamdi , Peng Chen , Mirza Karamehmedović

In the context of adaptive remeshing, the virtual element method provides significant advantages over the finite element method. The attractive features of the virtual element method, such as the permission of arbitrary element geometries,…

Numerical Analysis · Mathematics 2023-08-16 Daniel van Huyssteen , Felipe Lopez Rivarola , Guillermo Etse , Paul Steinmann

We propose an adaptive finite element algorithm to approximate solutions of elliptic problems whose forcing data is locally defined and is approximated by regularization (or mollification). We show that the energy error decay is…

Numerical Analysis · Mathematics 2022-07-26 Luca Heltai , Wenyu Lei

Topological photonic systems, with their ability to host states protected against disorder and perturbation, allow us to do with photons what topological insulators do with electrons. Topological photonics can refer to electronic systems…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Marie S. Rider , Samuel J. Palmer , Simon R. Pocock , Xiaofei Xiao , Paloma Arroyo Huidobro , Vincenzo Giannini

Chiral photonics opens new pathways to manipulate light-matter interactions and tailor the optical response of meta-surfaces and -materials by nanostructuring nontrivial patterns. Chirality of matter, such as that of molecules, and light,…

Optics · Physics 2022-02-16 Oliver Mey , Arash Rahimi-Iman

This paper introduces a new local plastic correction algorithm that is aimed at accelerating elasto-plastic finite element (FE) simulations for structural problems exhibiting localised plasticity (around e.g. notches, geometrical defects).…

Computational Engineering, Finance, and Science · Computer Science 2024-09-26 Abhishek Palchoudhary , Simone Peter , Vincent Maurel , Cristian Ovalle , Pierre Kerfriden

Adaptive quantum design is used to identify broken-symmetry quantum well potential profiles with optical response properties superior to previous ad-hoc solutions. This technique performs an unbiased stochastic search of configuration…

Strongly Correlated Electrons · Physics 2009-11-10 Jason Thalken , Weifei Li , Stephan Haas , A. F. J. Levi

The advent of two-dimensional metamaterials in recent years has ushered in a revolutionary means to manipulate the behavior of light on the nanoscale. The effective parameters of these architected materials render unprecedented control over…

Optics · Physics 2018-11-14 Zhaocheng Liu , Dayu Zhu , Sean P. Rodrigues , Kyu-Tae Lee , Wenshan Cai

The miniaturization of diagnostic devices that exploit optical detection schemes requires the design of light-sources combining small size, high performance for effective excitation of chromophores, and mechanical flexibility for easy…

A significant part of the optical metamaterial phenomena has the plasmonic nature and their investigation requires very accurate knowledge of the fabricated structures shape with a focus on the periodical features. We describe a consistent…

Mesoscale and Nanoscale Physics · Physics 2016-09-09 Alexey V. Kondratov , Oleg Y. Rogov , Radmir V. Gainutdinov