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In this work, a novel subspace-based method for blind identification of multichannel finite impulse response (FIR) systems is presented. Here, we exploit directly the impeded Toeplitz channel structure in the signal linear model to build a…

Applications · Statistics 2017-08-02 Qadri Mayyala , Karim Abed-Meraim , Azzedine Zerguine

Identification of nonlinear dynamic systems remains a significant challenge across engineering. This work suggests an approach based on Bayesian filtering to extract and identify the contribution of an unknown nonlinear term in the system…

Machine Learning · Statistics 2022-07-01 Timothy J. Rogers , Tobias Friis

In this paper, we consider the task of designing a Kalman Filter (KF) for an unknown and partially observed autonomous linear time invariant system driven by process and sensor noise. To do so, we propose studying the following two step…

Systems and Control · Electrical Eng. & Systems 2020-05-14 Anastasios Tsiamis , Nikolai Matni , George J. Pappas

With the rapid development of industrial automation and smart manufacturing, the control of flexible structures and underactuated systems has become a critical research focus. Residual vibrations in these systems not only degrade…

Systems and Control · Electrical Eng. & Systems 2025-07-03 Weiyi Yang , Yu Yuan , Mingsheng Shang

This work aims to estimate time-resolved velocity field that is directly associated with pressure fluctuations in a subsonic round jet. To achieve this goal, synchronous measurements of the velocity field and in-flow pressure fluctuations…

Fluid Dynamics · Physics 2021-06-15 Songqi Li , Lawrence Ukeiley

In this work we develop and analyze an adaptive finite element method for efficiently solving electrical impedance tomography -- a severely ill-posed nonlinear inverse problem for recovering the conductivity from boundary voltage…

Numerical Analysis · Mathematics 2019-05-16 Bangti Jin , Yifeng Xu , Jun Zou

This article is concerned with a new filtered two-step variational integrator for solving the charged-particle dynamics in a mildly non-uniform moderate or strong magnetic field with a dimensionless parameter $\varepsilon$ inversely…

Numerical Analysis · Mathematics 2026-03-05 Ting Li , Bin Wang

We present a high-order, sharp-interface method for simulation of two-phase flow of real gases using implicit shock tracking. The method is based on a phase-field formulation of two-phase, compressible, inviscid flow with a trivial mixture…

Fluid Dynamics · Physics 2025-03-10 Charles Naudet , Brian Taylor , Matthew J. Zahr

Efficient long-time integration of nonlinear fractional differential equations is significantly challenging due to the integro-differential nature of the fractional operators. In addition, the inherent non-smoothness introduced by the…

Numerical Analysis · Mathematics 2019-09-11 Yongtao Zhou , Jorge L. Suzuki , Chengjian Zhang , Mohsen Zayernouri

This article presents an error analysis of the recently introduced Frenet immersed finite element (IFE) method. The Frenet IFE space employed in this method is constructed to be locally conforming to the function space of the associated…

Numerical Analysis · Mathematics 2025-03-04 Slimane Adjerid , Tao Lin , Haroun Meghaichi

The so-called indentation stiffness tomography technique for detecting the interior mechanical properties of an elastic sample with an inhomogeneity is analyzed in the framework of the asymptotic modeling approach under the assumption of…

Analysis of PDEs · Mathematics 2013-11-22 Ivan Argatov

The Finite Element Method (FEM) is a widely used technique for simulating crash scenarios with high accuracy and reliability. To reduce the significant computational costs associated with FEM, the Finite Element Method Integrated Networks…

Computational Engineering, Finance, and Science · Computer Science 2024-09-27 Simon Thel , Lars Greve , Maximilian Karl , Patrick van der Smagt

Autonomous mobile robots operating in novel environments depend critically on accurate state estimation, often utilizing visual and inertial measurements. Recent work has shown that an invariant formulation of the extended Kalman filter…

Robotics · Computer Science 2025-10-06 Abdullah Altawaitan , Jason Stanley , Sambaran Ghosal , Thai Duong , Nikolay Atanasov

Latent force models (LFMs) are flexible models that combine mechanistic modelling principles (i.e., physical models) with non-parametric data-driven components. Several key applications of LFMs need non-linearities, which results in…

Information Theory · Computer Science 2012-06-22 Jouni Hartikainen , Mari Seppanen , Simo Sarkka

In this report, we propose a divergence-free preserving mixed finite element method (FEM) for the system of nonlinear fourth-order thermally driven active fluid equations. By introducing two auxiliary variables, we lower the complexity of…

Numerical Analysis · Mathematics 2025-09-24 Nan Zheng , Qingguang Guan , Wenlong Pei , Wenju Zhao

We present a stable finite element method for incompressible nonlinear elasticity based on a four-field mixed formulation involving the displacement, displacement gradient, first Piola--Kirchhoff stress and pressure. Unlike existing…

Numerical Analysis · Mathematics 2026-03-11 Santiago Badia , Wei Li , Ricardo Ruiz-Baier

This paper investigates the robot state estimation problem within a non-inertial environment. The proposed state estimation approach relaxes the common assumption of static ground in the system modeling. The process and measurement models…

Robotics · Computer Science 2024-03-26 Zijian He , Sangli Teng , Tzu-Yuan Lin , Maani Ghaffari , Yan Gu

In this paper, we develop a multiphysics finite element method for solving the quasi-static thermo-poroelasticity model with nonlinear permeability. The model involves multiple physical processes such as deformation, pressure, diffusion and…

Numerical Analysis · Mathematics 2026-02-24 Zhihao Ge , Wenshuai Hu

This paper investigates model-order reduction methods for geometrically nonlinear structures. The parametrisation method of invariant manifolds is used and adapted to the case of mechanical systems expressed in the physical basis, so that…

Numerical Analysis · Mathematics 2021-09-22 Alessandra Vizzaccaro , Andrea Opreni , Loïc Salles , Attilio Frangi , Cyril Touzé

Opto-mechano-fluidic resonators (OMFRs) are a new platform for high-throughput sensing of the mechanical properties of freely flowing microparticles in arbitrary media. Experimental extraction of OMFR mode shapes, especially the acoustic…

Optics · Physics 2018-03-14 Jeewon Suh , Kewen Han , Gaurav Bahl