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We develop an energy-decreasing algorithm for the finite element approximation of two-dimensional ferronematic equilibrium states. The problem is formulated as the minimization of the harmonic energy of two two-dimensional vector fields,…

Numerical Analysis · Mathematics 2026-05-13 Alexandre Ern , Ruma R. Maity

The boundary element method (BEM) enables solving three-dimensional electromagnetic problems using a two-dimensional surface mesh, making it appealing for applications ranging from electrical interconnect analysis to the design of…

Numerical Analysis · Mathematics 2021-12-14 Shashwat Sharma , Piero Triverio

In this paper, we investigate the use of single hidden-layer neural networks as a family of ansatz functions for the resolution of partial differential equations (PDEs). In particular, we train the network via Extreme Learning Machines…

Numerical Analysis · Mathematics 2025-06-30 Davide Elia De Falco , Enrico Schiassi , Francesco Calabrò

Expectation Maximization (EM) algorithm is a parameter estimation method from incomplete observations. In this paper, an implementation of this method to the calibration of HKS spectrometer at Jefferson Lab is described. We show that the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Lulin Yuan

In diffusion MRI (dMRI), a good sampling scheme is important for efficient acquisition and robust reconstruction. Diffusion weighted signal is normally acquired on single or multiple shells in q-space. Signal samples are typically…

Medical Physics · Physics 2017-09-26 Jian Cheng , Dinggang Shen , Pew-Thian Yap , Peter J. Basser

In this paper we present an algorithm to reduce the area of a surface spanned by a finite number of boundary curves by initiating a variational improvement in the surface. The ansatz we suggest consists of original surface plus a…

Differential Geometry · Mathematics 2014-02-24 Daud Ahmad , Bilal Masud

Global optimization techniques are increasingly preferred over human-driven methods in the design of electromagnetic structures such as metasurfaces, and careful construction and parameterization of the physical structure is critical in…

Applied Physics · Physics 2023-07-18 Alex Saad-Falcon , Christopher Howard , Justin Romberg , Kenneth Allen

Finite mixtures of skew distributions provide a flexible tool for modelling heterogeneous data with asymmetric distributional features. However, parameter estimation via the Expectation-Maximization (EM) algorithm can become very…

Computation · Statistics 2016-08-10 Sharon X Lee , Kaleb L Leemaqz , Geoffrey J McLachlan

In the present work we introduce a novel refinement algorithm for two-dimensional elliptic partial differential equations discretized with Virtual Element Method (VEM). The algorithm improves the numerical solution accuracy and the mesh…

Numerical Analysis · Mathematics 2024-03-18 Stefano Berrone , Fabio Vicini

The expectation--maximization (EM) algorithm combines global monotonicity, local linear convergence, and strong practical robustness, but these features are usually analyzed separately. Global descent is nonlinear, whereas local convergence…

Machine Learning · Statistics 2026-05-11 Qiao Wang

We introduce a novel heuristic global optimization method, energy landscape paving (ELP), which combines core ideas from energy surface deformation and tabu search. In appropriate limits, ELP reduces to existing techniques. The approach is…

Computational Physics · Physics 2009-11-07 Luc T. Wille , U. H. E. Hansmann

This paper serves as our first effort to develop a new triangular spectral element method (TSEM) on unstructured meshes, using the rectangle-triangle mapping proposed in the conference note [21]. Here, we provide some new insights into the…

Numerical Analysis · Mathematics 2012-04-24 Michael Daniel Samson , Huiyuan Li , Li-Lian Wang

This work considers the problem of energy efficiency maximization in a RIS-based communication link, subject to not only the conventional maximum power constraints, but also additional constraints on the maximum exposure to electromagnetic…

Optimization and Control · Mathematics 2022-07-20 Alessio Zappone , Marco Di Renzo

Reconfigurable intelligent surface (RIS) has emerged as a promising technology for achieving high spectrum and energy efficiency in future wireless communication networks. In this paper, we investigate an RIS-aided single-cell multi-user…

Information Theory · Computer Science 2021-05-04 Zhiyang Li , Ming Chen , Zhaohui Yang , Jingwen Zhao , Yinlu Wang , Jianfeng Shi , Chongwen Huang

The Intrinsic Surface Finite Element Method (ISFEM) was recently proposed to solve Partial Differential Equations (PDEs) on surfaces. ISFEM proceeds by writing the PDE with respect to a local coordinate system anchored to the surface and…

Numerical Analysis · Mathematics 2024-10-08 Elena Bachini , Mario Putti

In this paper, we develop the constraint energy minimization generalized multiscale finite element method (CEM-GMsFEM) in mixed formulation applied to parabolic equations with heterogeneous diffusion coefficients. The construction of the…

Numerical Analysis · Mathematics 2020-10-01 Yiran Wang , Eric Chung , Lina Zhao

This paper introduces the use of static electromagnetic skins (EMSs) to enable robust device localization via channel charting (CC) in realistic urban environments. We develop a rigorous optimization framework that leverages EMS to enhance…

Signal Processing · Electrical Eng. & Systems 2025-08-12 Mahdi Maleki , Reza Agahzadeh Ayoubi , Marouan Mizmizi , Umberto Spagnolini

Meshing complex engineering domains is a challenging task. Arbitrary polyhedral meshes can provide the much needed flexibility in automated discretization of such domains. The geometric property of the polyhedral meshes such as the…

Optimization and Control · Mathematics 2015-07-22 Arun L. Gain , Glaucio H. Paulino , Leonardo Duarte , Ivan F. M. Menezes

Heterostructures combining diverse physico-chemical properties are increasingly in demand for a wide range of applications in modern science and technology. However, despite their importance in materials science, accurately determining…

In this paper, we propose an efficient parallelization strategy for boundary element method (BEM) solvers that perform the electromagnetic analysis of structures with lossy conductors. The proposed solver is accelerated with the adaptive…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-30 Damian Marek , Shashwat Sharma , Piero Triverio