Results 51 to 60 of about 577,422 (277)

Grid Infrastructure for Domain Decomposition Methods in Computational ElectroMagnetics [PDF]

, 2012
The accurate and efficient solution of Maxwell's equation is the problem addressed by the scientific discipline called Computational ElectroMagnetics (CEM).
Francavilla, A., Mossucca, L., Ruiu, Pietro, Terzo, Olivier, Vipiana, Francesca   +4 more
core   +2 more sources

Impact of APOE ε4 Genotype Load on Cognitive Function and Lipid Metabolism in Patients With Cerebral Small Vessel Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Apolipoprotein ε4 (APOE ε4) is a potent genetic risk factor for Alzheimer's disease (AD). However, its role in cerebral small vessel disease (CSVD) remains unclear. Given the clinical and pathological similarities between CSVD and AD, this study aimed to investigate the associations of APOE ε4 gene dosage with cognitive function and
Tingru Jin, Haocheng Yang, Feng Liu, Sihao Lin, Junru Hu, Jian Wang, Yulan Gou   +6 more
wiley   +1 more source

A Node Generation and Refinement Algorithm in Meshless RPIM for Electromagnetic Analysis of Sensors

Sensors
In sensor design, electromagnetic field numerical simulation techniques are widely used to investigate the working principles of sensors. These analyses help designers understand how sensors detect and respond to external signals during operation.
Zihao Li, Siguang An, Guoping Zou, Jianqiang Han   +3 more
doaj   +1 more source

A reduced basis element method for the steady Stokes problem: Application to hierarchical flow systems [PDF]

Modeling, Identification and Control, 2006
The reduced basis element method is a new approach for approximating the solution of problems described by partial differential equations. The method takes its roots in domain decomposition methods and reduced basis discretizations (Fink & Rheinboldt
Alf E. Løvgren, Yvon Maday, Einar M. Rønquist   +2 more
doaj   +1 more source

Asymptotic Expansions and Domain Decomposition [PDF]

, 2014
La méthode de décomposition de domaine est appliquée a des problèmes d'élasticité linéaire avec des hétérogénéités. Dans un premier cas il s'agit d'une couche fine contenant des hétérogénéités réparties de façon périodique, dans un second cas d'une couche interne constitué d'un matériau avec un module de Young beaucoup plus grand que celui du matériau ...
Geymonat, Giuseppe, Hendili, Sofiane, Krasucki, Françoise, Serpilli, Michèle, Vidrascu, Marina   +4 more
openaire   +2 more sources

Proper generalized decomposition solutions within a domain decomposition strategy [PDF]

International Journal for Numerical Methods in Engineering, 2018
SummaryDomain decomposition strategies and proper generalized decomposition are efficiently combined to obtain a fast evaluation of the solution approximation in parameterized elliptic problems with complex geometries. The classical difficulties associated to the combination of layered domains with arbitrarily oriented midsurfaces, which may require in‐
Huerta, Antonio, Nadal, Enrique, Chinesta, Francisco   +2 more
openaire   +8 more sources

Unraveling the Molecular Mechanisms of Glioma Recurrence: A Study Integrating Single‐Cell and Spatial Transcriptomics

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Glioma recurrence severely impacts patient prognosis, with current treatments showing limited efficacy. Traditional methods struggle to analyze recurrence mechanisms due to challenges in assessing tumor heterogeneity, spatial dynamics, and gene networks.
Lei Qiu, Yinjiao Fei, Jiaxuan Ding, Kexin Shi, Jinyan Luo, Yuchen Zhu, Xingjian Sun, Gefei Jiang, Yuandong Cao, Weilin Xu, Shu Zhou   +10 more
wiley   +1 more source

A forward progressive physics informed neural network with Taylor series expansion for solving evolution partial differential equations

AIMS Mathematics
The physics informed neural network (PINN) has achieved significant success in solving evolution partial differential equations (PDEs). For improving the prediction accuracy of the PINN, we developed a new PINN with Taylor series expansion (TPINN ...
Wenkai Liu, Yang Liu
doaj   +1 more source

Preconditioned Dirichlet-Dirichlet Methods for Optimal Control of Elliptic PDE

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
The discretization of optimal control of elliptic partial differential equations problems yields optimality conditions in the form of large sparse linear systems with block structure. Correspondingly, when the solution method is a Dirichlet-Dirichlet non-
Loghin Daniel
doaj   +1 more source

Dirichlet-Neumann and Neumann-Neumann Waveform Relaxation for the Wave Equation [PDF]

, 2014
We present a Waveform Relaxation (WR) version of the Dirichlet-Neumann and Neumann-Neumann algorithms for the wave equation in space time. Each method is based on a non-overlapping spatial domain decomposition, and the iteration involves subdomain solves
Gander, Martin J., Kwok, Felix, Mandal, Bankim C.   +2 more
core