Results 51 to 60 of about 8,847 (203)
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 +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 +2 more
wiley +1 more source
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 +6 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 +2 more
doaj
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 +4 more
wiley +1 more source
On Meshfree GFDM Solvers for the Incompressible Navier-Stokes Equations
, 2017 Meshfree solution schemes for the incompressible Navier--Stokes equations are usually based on algorithms commonly used in finite volume methods, such as projection methods, SIMPLE and PISO algorithms.
Kuhnert, Joerg +2 more
core +1 more source
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
3D Thermal Simulation of a Laser Drilling Process with Meshfree Methods
Journal of Manufacturing and Materials Processing, 2020 Numerical simulation of laser drilling is rapidly gaining interest in academia and industry since this process remains one of the most important and widely-used technologies in modern manufacturing.
Mohamadreza Afrasiabi, Konrad Wegener
doaj +1 more source
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 49, Issue 17, Page 4225-4247, 10 December 2025.ABSTRACT Internal erosion in gap‐graded soils poses significant risks to water‐retaining structures such as earth dams. However, its underlying mechanisms at the particle scale remain poorly understood. This study couples the discrete element method (DEM) with computational fluid dynamics (CFD) to simulate internal erosion in gap‐graded soil assemblies
Jie Qi +3 more
wiley +1 more source