Results 31 to 40 of about 89,598 (261)

Simulation of continuously deforming parabolic problems by Galerkin finite-elements method

International Journal of Mathematics and Mathematical Sciences, 1986
A general numerical finite element scheme is described for parabolic problems with phase change wherein the elements of the domain are allowed to deform continuously.
Yahia S. Halabi
doaj   +1 more source

Optimizing photoexcitation conditions for time‐resolved X‐ray solution scattering experiments

FEBS Open Bio, EarlyView.
Time‐resolved X‐ray solution scattering (TR‐XSS) is a powerful technique to visualize how proteins change their structure in real time after light activation. Selecting the right laser photoexcitation conditions—fluence, excitation geometry, and sample refresh rate—is critical to maximize the experimental signal while avoiding unwanted side effects ...
Matteo Levantino
wiley   +1 more source

Combining the DPG Method with Finite Elements [PDF]

Computational Methods in Applied Mathematics, 2017
Abstract We propose and analyze a discretization scheme that combines the discontinuous Petrov–Galerkin and finite element methods. The underlying model problem is of general diffusion-advection-reaction type on bounded domains, with decomposition into two sub-domains.
Thomas Führer, Norbert Heuer, Michael Karkulik, Rodolfo Rodríguez   +3 more
openaire   +3 more sources

Temporal Interference Stimulation of Centromedian‐Parafascicular Complex in Disorders of Consciousness: A Pilot Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Treatment of disorders of consciousness (DoC) remains a major clinical challenge, and noninvasive, targeted modulation of deep brain structures has emerged as a promising therapeutic strategy. We aimed to evaluate the feasibility/safety and preliminary effects of thalamic temporal interference stimulation (TIS) targeting centromedian‐
Gengyao Hu, Changgeng Song, Dianwei Wu, Xiaoqian Niu, Jianmin Hao, Lijuan Liu, Xiaogang Kang, Wen Jiang   +7 more
wiley   +1 more source

The tempered finite element method

Journal of Computational Physics
In this paper, we propose a new approach -- the Tempered Finite Element Method (TFEM) -- that extends the Finite Element Method (FEM) to classes of meshes that include zero-measure or nearly degenerate elements for which standard FEM approaches do not allow convergence.
Antoine Quiriny, Václav Kučera, Jonathan Lambrechts, Nicolas Moës, Jean-François Remacle   +4 more
openaire   +2 more sources

A new variant of the fem for evaluation the strenght of structures of complex geometry with heterogeneous material structure

Case Studies in Construction Materials, 2023
Structures are known to feature a complex geometry and a complex material structure which varies depending on their functional purpose, technological capabilities and design.
S.N. Yakupov, H.G. Kiyamov, N.M. Yakupov, I.Z. Mukhamedova   +3 more
doaj   +1 more source

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source

Adaptive finite element methods

Acta Numerica
This is a survey of the theory of adaptive finite element methods (AFEMs), which are fundamental to modern computational science and engineering but whose mathematical assessment is a formidable challenge. We present a self-contained and up-to-date discussion of AFEMs for linear second-order elliptic PDEs and dimension d > 1, with emphasis on ...
Andrea Bonito, Claudio Canuto, Ricardo H. Nochetto, Andreas Veeser   +3 more
openaire   +2 more sources

SoftFEM: The Soft Finite Element Method [PDF]

International Journal for Numerical Methods in Engineering, 2019
SummaryWhile the finite element method (FEM) has now reached full maturity both in academy and industry, its use in optimization pipelines remains either computationally intensive or cumbersome. In particular, currently used optimization schemes leveraging FEM still require the choice of dedicated optimization algorithms for a specific design problem ...
Peña Sánchez, José María, LaTorre de la Fuente, Antonio, Jérusalem, Antoine   +2 more
openaire   +4 more sources

Adaptive Observer for Coupled Wave PDE and Infinite ODE With Sampled Data and Unknown Input: Application to Brain Hemodynamics Estimation

International Journal of Adaptive Control and Signal Processing, EarlyView.
This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir, Sarah Mechhoud, Taous‐Meriem Laleg‐Kirati   +2 more
wiley   +1 more source