Results 51 to 60 of about 7,547 (205)

Multiscale Partition of Unity [PDF]

, 2013
We introduce a new Partition of Unity Method for the numerical homogenization of elliptic partial differential equations with arbitrarily rough coefficients. We do not restrict to a particular ansatz space or the existence of a finite element mesh.
C.A. Duarte, C.A. Duarte, D.-J. Kim, H. Owhadi, H.W. Alt, I. Babuška, J.M. Melenk, J.T. Oden, N. Moës, T. Belytschko, T.J. Liszka, V. Gupta   +11 more
core   +2 more sources

Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 818-834, 30 January 2026.
ABSTRACT Numerical analysis and simulation for the approximate solution of a Benjamin–Bona–Mahony type equation defined in a noncylindrical domain are presented in this article. The approximate problem is defined using the linearized Crank–Nicolson Galerkin method, which results in a linear algebraic system at each time step while maintaining quadratic
Vania Cristina Machado, Bruno Alves do Carmo, Mauro Antonio Rincon   +2 more
wiley   +1 more source

Recent developments in stabilized Galerkin and collocation meshfree methods

Computer Assisted Methods in Engineering and Science, 2017
Meshfree methods have been developed based on Galerkin type weak formulation and strong formulation with collocation. Galerkin type formulation in conjunction with the compactly supported approximation functions and polynomial reproducibility yields ...
Jiun-Shyan Chen, Sheng-Wei Chi, Hsin-Yun Hu   +2 more
doaj  

Enhancing SPH using moving least-squares and radial basis functions

, 2007
In this paper we consider two sources of enhancement for the meshfree Lagrangian particle method smoothed particle hydrodynamics (SPH) by improving the accuracy of the particle approximation.
Brownlee, R. A., Houston, P., Levesley, J., Rosswog, S.   +3 more
core   +1 more source

Aging of Tetrafluoroethylene Propylene (FEPM) Material in High‐Pressure HighTemperature Hydrogen Sulfide Downhole Environment: Theory, Modeling, Experiments, and Material Lifetime Prediction

Macromolecular Theory and Simulations, Volume 35, Issue 1, January 2026.
A novel approach that integrates AI‐based methodology, laboratory experimentation, and field application experience to accurately predict the lifespan of elastomeric materials in harsh downhole environments. ABSTRACT This paper presents a physics‐driven neural network (PINN) model to capture the constitutive behavior, elongation at break (EAB), modulus,
Aref Ghaderi, Hadis Nouri, Roozbeh Dargazany, Scott Meng, Peixiang Xing, Jiaxiang Ren, Peng Cheng   +6 more
wiley   +1 more source

A novel boundary meshfree method with two kinds of interpolations for spatially varying coefficient orthotropic thermal transfer

Case Studies in Thermal Engineering
For thermal exchangers, thermal pads, and thermal sinks for electronics and engines, it is necessary to consider their thermal transfer properties in different directions to ensure the structural stability and reliability in the hightemperature ...
Jing Ling, Dongsheng Yang, Chengpeng Liu, Wei Gong   +3 more
doaj   +1 more source

A Novel Meshfree Approach with a Radial Polynomial for Solving Nonhomogeneous Partial Differential Equations

Mathematics, 2020
In this article, a novel radial−based meshfree approach for solving nonhomogeneous partial differential equations is proposed. Stemming from the radial basis function collocation method, the novel meshfree approach is formulated by incorporating ...
Cheng-Yu Ku, Jing-En Xiao, Chih-Yu Liu
doaj   +1 more source

A Lucas Operational Matrix Method for Solving Nonlinear Fractional Two‐Dimensional Partial Volterra Integral Equations

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper introduces a new numerical method for solving a class of two‐dimensional fractional partial Volterra integral equations (2DFPVIEs). Our approach uses Lucas polynomials (LPs) to construct operational matrices (OMs) that effectively transform the complex fractional‐order equations into a more manageable system of algebraic equations.
S. S. Gholami, A. Ebadian, A. A. Khajehnasiri, Kareem T. Elgindy, Birendra Nath Mandal   +4 more
wiley   +1 more source

Fractional‐Order Control Equation Formulation and Performance Analysis of Viscoelastic Plates Based on Constitutive Model

Modelling and Simulation in Engineering, Volume 2026, Issue 1, 2026.
Viscoelastic structures exhibit pronounced time memory effects and spatial nonlocal coupling under complex dynamic environments, which makes it difficult for traditional integer‐order models to achieve both accurate representation and numerical stability.
Lei Hu, Junhua Mei, Marco Bonopera
wiley   +1 more source

High frequency modes meshfree analysis of Reissner–Mindlin plates

Journal of Science: Advanced Materials and Devices, 2016
Finite element method (FEM) is well used for modeling plate structures. Meshfree methods, on the other hand, applied to the analysis of plate structures lag a little behind, but their great advantages and potential benefits of no meshing prompt continued
Tinh Quoc Bui, Duc Hong Doan, Thom Van Do, Sohichi Hirose, Nguyen Dinh Duc   +4 more
doaj   +1 more source