The larmor frequency shift in magnetically heterogeneous media depends on their mesoscopic structure
Sign Up to like & getrecommendations! Published in 2018 at "Magnetic Resonance in Medicine"
DOI: 10.1002/mrm.26753
Abstract: Recent studies have addressed the determination of the NMR precession frequency in biological tissues containing magnetic susceptibility differences between cell types. The purpose of this study is to investigate the dependence of the precession frequency… read more here.
Keywords: shift magnetically; frequency; frequency shift; magnetically heterogeneous ... See more keywords
Multiphase hybrid stress finite element analysis of heterogeneous media by simple mesh: One element with one interface
Sign Up to like & getrecommendations! Published in 2020 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.6330
Abstract: In this paper, a finite element method is proposed to analyze the microscopic and macroscopic mechanical behaviors of heterogeneous media with randomly distributed inclusions. A simple mesh partitioned the domain into regular quadrilateral or triangular… read more here.
Keywords: finite element; stress; one element; simple mesh ... See more keywords
An efficient numerical method for quasi-static crack propagation in heterogeneous media
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Fracture"
DOI: 10.1007/s10704-018-0284-9
Abstract: The paper is devoted to the problem of slow crack growth in heterogeneous media. The crack is subjected to arbitrary pressure distribution on the crack surface. The problem relates to construction of the so-called equilibrium… read more here.
Keywords: numerical method; quasi static; method quasi; efficient numerical ... See more keywords
First steps on modelling wave propagation in isotropic-heterogeneous media: numerical simulation of P–SV waves
Sign Up to like & getrecommendations! Published in 2021 at "European Journal of Physics"
DOI: 10.1088/1361-6404/ac18cf
Abstract: In geophysics, wave propagation in elastic media is a crucial subject. In this context, seismology has made significant progress as a result of numerous advances, among these stands out the advancement of numerical methods such… read more here.
Keywords: propagation; steps modelling; wave propagation; modelling wave ... See more keywords
TTI equivalent medium parametrization method for the seismic waveform modelling of heterogeneous media with coarse grids
Sign Up to like & getrecommendations! Published in 2021 at "Geophysical Journal International"
DOI: 10.1093/gji/ggab310
Abstract: In recent years, many higher-order and optimized schemes have been developed to reduce the dispersion error with the use of large grid spacing in finite-difference seismic waveform simulations. However, there are two problems in the… read more here.
Keywords: medium parametrization; method; coarse grids; equivalent medium ... See more keywords
Data-driven discovery of the governing equations for transport in heterogeneous media by symbolic regression and stochastic optimization.
Sign Up to like & getrecommendations! Published in 2023 at "Physical review. E"
DOI: 10.1103/physreve.107.l013301
Abstract: With advances in instrumentation and the tremendous increase in computational power, vast amounts of data are becoming available for many complex phenomena in macroscopically heterogeneous media, particularly those that involve flow and transport processes, which… read more here.
Keywords: governing equations; data driven; stochastic optimization; heterogeneous media ... See more keywords
Precise algorithms to compute surface correlation functions of two-phase heterogeneous media and their applications.
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review E"
DOI: 10.1103/physreve.98.013307
Abstract: The quantitative characterization of the microstructure of random heterogeneous media in d-dimensional Euclidean space R^{d} via a variety of n-point correlation functions is of great importance, since the respective infinite set determines the effective physical… read more here.
Keywords: two phase; surface; surface correlation; correlation ... See more keywords
A Generalized Split-Step Angular Spectrum Method for Efficient Simulation of Wave Propagation in Heterogeneous Media
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control"
DOI: 10.1109/tuffc.2021.3075367
Abstract: Angular spectrum (AS) methods enable efficient calculation of wave propagation from one plane to another inside homogeneous media. For wave propagation in heterogeneous media such as biological tissues, AS methods cannot be applied directly. Split-stepping… read more here.
Keywords: propagation; method; wave propagation; heterogeneous media ... See more keywords
Numerical modeling of ultrasound propagation in heterogeneous media using a mixed domain method
Sign Up to like & getrecommendations! Published in 2018 at "Journal of the Acoustical Society of America"
DOI: 10.1121/1.5067903
Abstract: A mixed domain method (MDM) is presented in this paper for modeling one-way linear/nonlinear wave propagation in biological tissue with arbitrary heterogeneities, in which sound speed, density, attenuation coefficients, and nonlinear coefficients are all spatial… read more here.
Keywords: propagation; mixed domain; domain method; numerical modeling ... See more keywords
Online Coupled Generalized Multiscale Finite Element Method for the Poroelasticity Problem in Fractured and Heterogeneous Media
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DOI: 10.3390/fluids6080298
Abstract: In this paper, we consider the poroelasticity problem in fractured and heterogeneous media. The mathematical model contains a coupled system of equations for fluid pressures and displacements in heterogeneous media. Due to scale disparity, many… read more here.
Keywords: basis functions; fractured heterogeneous; coarse grid; poroelasticity ... See more keywords
Analysis of the Equilibrium Distribution of Ligands in Heterogeneous Media–Approaches and Pitfalls
Sign Up to like & getrecommendations! Published in 2022 at "International Journal of Molecular Sciences"
DOI: 10.3390/ijms23179757
Abstract: The equilibrium distribution of small molecules (ligands) between binding agents in heterogeneous media is an important property that determines their activity. Heterogeneous systems containing proteins and lipid membranes are particularly relevant due to their prevalence… read more here.
Keywords: equilibrium distribution; analysis; heterogeneous media; distribution ... See more keywords