Results 41 to 50 of about 8,524 (166)

On the Numerical Solution of the Poisson Equation in the Smoothed Particle Hydrodynamics

Studies in Applied Mathematics, Volume 157, Issue 4, October 2026.
ABSTRACT In the present work, we address some aspects related to the numerical solution of the Poisson equation within the framework of the Smoothed Particle Hydrodynamics (SPH). In this case, the Poisson equation is solved using nonlocal, kernel‐based discretizations of the differential operators (i.e., gradient, divergence, and Laplacian operators ...
Matteo Antuono, Julien Michel, Salvatore Marrone   +2 more
wiley   +1 more source

Personalised in silico biomechanical modelling towards the optimisation of high dose-rate brachytherapy planning and treatment against prostate cancer

Frontiers in Physiology
High dose-rate brachytherapy presents a promising therapeutic avenue for prostate cancer management, involving the temporary implantation of catheters which deliver radioactive sources to the cancerous site.
Myrianthi Hadjicharalambous, Yiannis Roussakis, George Bourantas, George Bourantas, Eleftherios Ioannou, Karol Miller, Paul Doolan, Iosif Strouthos, Constantinos Zamboglou, Vasileios Vavourakis, Vasileios Vavourakis   +10 more
doaj   +1 more source

Node-to-Node Realization of Meshless Local Petrov Galerkin (MLPG) Fully in GPU

IEEE Access, 2019
This paper presents an end-to-end massively parallelized procedure for the solution of boundary value problems on Graphics Processing Units (GPU). The proposal is an integrated strategy that not only entails the calculation of nodal contributions, and ...
Lucas Pantuza Amorim, Renato Cardoso Mesquita, Thiago De Sousa Goveia, Bruno Carvalho Correa   +3 more
doaj   +1 more source

Anomalous sub-diffusion equations by the meshless collocation method

, 2012
Recently, many new applications in engineering and science are governed by a series of fractional ordinary differential equation or fractional partial differential equations (FPDEs), in which the differential order is with a fractional order.
庄平辉, Zhuang, Pinghui, Gu, YuanTong, Gu, Y.T., Zhuang, P.   +4 more
core   +1 more source

An advanced meshless method for time fractional diffusion equation [PDF]

, 2011
Recently, because of the new developments in sustainable engineering and renewable energy, which are usually governed by a series of fractional partial differential equations (FPDEs), the numerical modeling and simulation for fractional calculus are ...
刘青, Liu, Q., Liu, QingXia, Zhuang, Pinghui, Q. LIU, P. ZHUANG, Gu, YuanTong, Gu, Y.T., Zhuang, P., Y. T. GU   +9 more
core   +1 more source

Maximum‐Entropy‐Based Meshless Modeling of Surface‐Tension‐Driven Large Deformation

International Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.
ABSTRACT Soft material modeling is challenging due, among others, to the substantial structural changes these materials undergo. In this context, meshless methods offer a promising alternative to overcome the limitations of established mesh‐based approximations such as finite elements. However, they introduce new challenges.
Rodrigo Castillo‐Acuna, Nicholas Gianotti, Dennis M. Kochmann   +2 more
wiley   +1 more source

Véges rugalmas-képlékeny alakváltozás elméleti és numerikus vizsgálata = Theoretical and numerical investigation of finite elasto-plastic deformation [PDF]

, 2007
Az OTKA kutatási téma keretében az alábbi kutatási eredmények születtek: -A mikropoláris testek rugalmas-képlékeny alakváltozásának számítására végelemes eljárás dolgoztunk ki háromdimenziós testek és és kis alakváltozások esetén.
Szabó, László, Kaszanitzky, Mátyás, Ladányi, Gábor   +2 more
core   +1 more source

Investigation of Hydrodynamically Dominated Membrane Rupture, Using Smoothed Particle Hydrodynamics–Finite Element Method

Fluids, 2019
The rupturing process of a membrane, located between two fluids at the center of a three-dimensional channel, is numerically investigated. The smoothed particle hydrodynamics (SPH) and the finite element method (FEM) are used, respectively, for modeling ...
Hossein Asadi, Mohammad Taeibi-Rahni, Amir Mahdi Akbarzadeh, Khodayar Javadi, Goodarz Ahmadi   +4 more
doaj   +1 more source

Meshless methods: theory and application in 3D fracture modelling with level sets [PDF]

, 2010
Accurate analysis of fracture is of vital importance yet methods for effetive 3D calculations are currently unsatisfactory. In this thesis, novel numerical techniques are developed which solve many of these problems. This thesis consists two major parts:
ZHUANG, XIAOYING
core  

A review of numerical methods for flow and transport modeling in the vadose zone

Vadose Zone Journal, Volume 25, Issue 5, September/October 2026.
Abstract Accurate modeling of subsurface flow and transport processes in the vadose zone, governed by the Richards equation and advection‐dispersion equation, respectively, poses major numerical challenges due to the strong nonlinearity of the governing partial differential equations, spatial heterogeneity and anisotropy of the media parameters, and ...
Shruti Jain, Saumava Dey, B. R. Chahar
wiley   +1 more source