Results 1 to 10 of about 487,842 (295)

A Domain Decomposition Method for Time Fractional Reaction-Diffusion Equation [PDF]

open access: yesThe Scientific World Journal, 2014
The computational complexity of one-dimensional time fractional reaction-diffusion equation is O(N2M) compared with O(NM) for classical integer reaction-diffusion equation. Parallel computing is used to overcome this challenge.
Chunye Gong   +4 more
doaj   +2 more sources

A GenEO Domain Decomposition method for Saddle Point problems

open access: yesComptes Rendus. Mécanique, 2023
We introduce an adaptive element-based domain decomposition (DD) method for solving saddle point problems defined as a block two by two matrix. The algorithm does not require any knowledge of the constrained space.
Nataf, Frédéric   +1 more
doaj   +1 more source

A noniterative domain decomposition method for the forward-backward heat equation [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2020
A nonoverlapping domain decomposition technique applied to a finite difference method is presented for the numerical solution of the forward backward heat equation in the case of one-dimension.
S. Banei, K. Shanazari
doaj   +1 more source

Super-Energy-Resolution Material Decomposition for Spectral Photon-Counting CT Using Pixel-Wise Learning

open access: yesIEEE Access, 2021
Spectral photon-counting CT offers novel potentialities to achieve quantitative decomposition of material components, in comparison with traditional energy-integrating CT or dual-energy CT.
Bingqing Xie   +9 more
doaj   +1 more source

Overlapping Domain Decomposition Method with Cascadic Multigrid for Image Restoration

open access: yesMathematics, 2023
In the process of image restoration, it is usually necessary to solve large-scale inverse problems, where the computational cost is very high for large or high-resolution images.
Zhaoteng Chu, Chenliang Li
doaj   +1 more source

Domain Decomposition Spectral Method Applied to Modal Method: Direct and Inverse Spectral Transforms

open access: yesSensors, 2022
We introduce a Domain Decomposition Spectral Method (DDSM) as a solution for Maxwell’s equations in the frequency domain. It will be illustrated in the framework of the Aperiodic Fourier Modal Method (AFMM).
Kofi Edee   +8 more
doaj   +1 more source

D3M: A Deep Domain Decomposition Method for Partial Differential Equations

open access: yesIEEE Access, 2020
A state-of-the-art deep domain decomposition method (D3M) based on the variational principle is proposed for partial differential equations (PDEs). The solution of PDEs can be formulated as the solution of a constrained optimization problem, and we ...
Ke Li   +3 more
doaj   +1 more source

Stability and Convergence Analysis of a Domain Decomposition FE/FD Method for Maxwell’s Equations in the Time Domain

open access: yesAlgorithms, 2022
Stability and convergence analyses for the domain decomposition finite element/finite difference (FE/FD) method are presented. The analyses are developed for a semi-discrete finite element scheme for time-dependent Maxwell’s equations.
Mohammad Asadzadeh, Larisa Beilina
doaj   +1 more source

A domain decomposition technique based on the multiscale seamless-domain method

open access: yesMechanical Engineering Journal, 2017
We present a domain decomposition technique combining the finite-element analysis and a multiscale simulation scheme that is termed the seamless-domain method.
Yoshiro SUZUKI
doaj   +1 more source

A Numerical Study on Hydrodynamic Energy Conversions of OWC-WEC with the Linear Decomposition Method under Irregular Waves

open access: yesEnergies, 2021
A numerical study was performed to investigate the applicability of the linear decomposition method for the hydrodynamic energy conversion of an oscillating-water-column type wave energy converter (OWC-WEC).
Jeong-Seok Kim   +4 more
doaj   +1 more source

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