Results 41 to 50 of about 327,876 (316)

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

Normal‐Appearing White Matter Injury Mediates Chronic Deep Venous Hypoxia and Disease Progression in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To explore how cerebral hypoxia and Normal‐Appearing White Matter (NAWM) integrity affect MS lesion burden and clinical course. Methods Seventy‐nine MS patients, including 13 clinically isolated syndrome (CIS) patients and 66 relapsing–remitting multiple sclerosis (RRMS) patients, and 44 healthy controls (HCs) were recruited from ...
Xinli Wang, Huiying Wang, Zhizheng Zhuo, Ai Guo, Ke Lv, Decai Tian, Chao Chai, Yunyun Duan, Shuang Xia   +8 more
wiley   +1 more source

Finite element method for a nonlinear problem

Computer Assisted Methods in Engineering and Science, 2023
We consider the nonlinear eigenvalue problem of a nonlinear partial differential equation under Dirichlet boundary condition in a two-dimensional space. The classical solutions are given for rectangular domains.
Gabriella Bognar
doaj  

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

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

A two-level enriched finite element method for a mixed problem

, 2011
The simplest pair of spaces is made inf-sup stable for the mixed form of the Darcy equation. The key ingredient is to enhance the finite element spaces inside a Petrov-Galerkin framework with functions satisfying element-wise local Darcy problems with ...
Barrenechea, Gabriel, Hernández, Erwin, Allendes Flores, Alejandro Ignacio, Valentin, Frédéric   +3 more
core   +1 more source

Numerical implementation of the eXtended Finite Element Method for dynamic crack analysis [PDF]

, 2008
A numerical implementation of the eXtended Finite Element Method (X-FEM) to analyze crack propagation in a structure under dynamic loading is presented in this paper.
Pantalé, Olivier, Nistor, Ionel, Caperaa, Serge   +2 more
core   +1 more source

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

Computer algebra and transputers applied to the finite element method [PDF]

, 1992
Recent developments in computing technology have opened new prospects for computationally intensive numerical methods such as the finite element method.
Barbier, Christine, Barbier, C
core  

Smoothed finite element method for two-dimensional elasto-plasticity

Vietnam Journal of Mechanics, 2009
This communication shows how the smoothed finite element method (SFEM) very recently proposed by G. R. Liu [14] can be extended to elasto-plasticity. The SFEM results are in excellent agreement with the finite element (FEM) and analytical results.
Stéphane Pierre Alain Bordascorres, Hung Nguyen-Dang, Quyen Phan-Phuong, Hung Nguyen-Xuan, Sundararajan Natarajan, Marc Duflot   +5 more
doaj   +1 more source