Selecciones Matemáticas, 2023 In this work, we consider the time-harmonic Maxwell's equations and their numerical solution with a domain decomposition method. As an innovative feature, we propose a feedforward neural network-enhanced approximation of the interface conditions between ...
Tobias Knoke +5 more
doaj +1 more source
Numerical study of a domain decomposition method for a two-scale linear transport equation
Networks and Heterogeneous Media, 2006 We perform a numerical study on a domain decomposition methodproposed in [13] for the linear transport equation between a diffusive and anon-diffusive region.
Xu Yang +3 more
doaj +1 more source
Solution Optimization of RBF Interpolation for Implicit Modeling of Orebody
IEEE Access, 2020 To interpolate large drillhole data sets efficiently in implicit modeling of orebody, we optimize the solution of the RBF equation based on the two-level domain decomposition method.
Deyun Zhong, Liguan Wang
doaj +1 more source
Two-dimensional local Fourier image reconstruction via domain decomposition Fourier continuation method. [PDF]
PLoS ONE, 2019 The MRI image is obtained in the spatial domain from the given Fourier coefficients in the frequency domain. It is costly to obtain the high resolution image because it requires higher frequency Fourier data while the lower frequency Fourier data is less
Ruonan Shi +2 more
doaj +1 more source
A sparse decomposition of low rank symmetric positive semi-definite matrices [PDF]
, 2016 Suppose that $A \in \mathbb{R}^{N \times N}$ is symmetric positive semidefinite with rank $K \le N$. Our goal is to decompose $A$ into $K$ rank-one matrices $\sum_{k=1}^K g_k g_k^T$ where the modes $\{g_{k}\}_{k=1}^K$ are required to be as sparse as ...
Hou, Thomas Y. +2 more
core +3 more sources
A Rigorous Finite-Element Domain Decomposition Method for Electromagnetic Near Field Simulations
, 2008 Rigorous computer simulations of propagating electromagnetic fields have become an important tool for optical metrology and design of nanostructured optical components.
Burger, S. +3 more
core +1 more source
Space-time domain decomposition for advection-diffusion problems in mixed formulations [PDF]
, 2016 This paper is concerned with the numerical solution of porous-media flow and transport problems , i. e. heterogeneous, advection-diffusion problems. Its aim is to investigate numerical schemes for these problems in which different time steps can be used ...
Hoang, Thi-Thao-Phuong +3 more
core +4 more sources
A Domain Decomposition Method for Hybrid Shell Vector Element with Boundary Integral Method
International Journal of Antennas and Propagation, 2012 For the conducting body coated with thin-layer material, plenty of fine meshes are required in general. In this paper, shell vector element (SVE) is used for modeling of thin coating dielectric.
Lin Lei, Jun Hu, Hao-Quan Hu
doaj +1 more source
An Optimized Schwarz Method for the Optical Response Model Discretized by HDG Method
Entropy, 2023 An optimized Schwarz domain decomposition method (DDM) for solving the local optical response model (LORM) is proposed in this paper. We introduce a hybridizable discontinuous Galerkin (HDG) scheme for the discretization of such a model problem based on ...
Jia-Fen Chen +3 more
doaj +1 more source
Liquid biopsy epigenetics: establishing a molecular profile based on cell‐free DNA
Molecular Oncology, EarlyView.Cell‐free DNA (cfDNA) fragments in plasma from cancer patients carry epigenetic signatures reflecting their cells of origin. These epigenetic features include DNA methylation, nucleosome modifications, and variations in fragmentation. This review describes the biological properties of each feature and explores optimal strategies for harnessing cfDNA ...
Christoffer Trier Maansson +2 more
wiley +1 more source