Results 51 to 60 of about 8,580 (202)

The collocation and meshless methods for differential equations in R(2)

open access: yes, 2007
In recent years, meshless methods have become popular ones to solve differential equations. In this thesis, we aim at solving differential equations by using Radial Basis Functions, collocation methods and fundamental solutions (MFS).
Jarjees, Thamira Abid
core   +1 more source

Direct Meshless Local Petrov–Galerkin (DMLPG) method: A generalized MLS approximation [PDF]

open access: yesApplied Numerical Mathematics, 2013
The Meshless Local Petrov{Galerkin (MLPG) method is one of the popular meshless methods that has been used very successfully to solve several types of boundary value problems since the late nineties. In this paper, using a generalized moving least squares (GMLS) approximation, a new direct MLPG technique, called DMLPG, is presented.
Mirzaei, Davoud, Schaback, Robert
openaire   +3 more sources

Multi‐Material Additive Manufacturing of Soft Robotic Systems: A Comprehensive Review

open access: yesAdvanced Robotics Research, Volume 2, Issue 2, April 2026.
This review explores the transformative role of multi‐material additive manufacturing (MMAM) in the development of soft robotic systems. It presents current techniques, materials, and design strategies that enable functionally graded and adaptive structures.
Ritik Raj   +2 more
wiley   +1 more source

Solitary Wave Solutions of the Generalized Rosenau-KdV-RLW Equation

open access: yesMathematics, 2020
This paper investigates the solitary wave solutions of the generalized Rosenau–Korteweg-de Vries-regularized-long wave equation. This model is obtained by coupling the Rosenau–Korteweg-de Vries and Rosenau-regularized-long wave equations. The solution of
Zakieh Avazzadeh   +2 more
doaj   +1 more source

Improved Meshless Local Boundary Integral Equation Method

open access: yesChinese Journal of Mechanical Engineering, 2008
Combining the local boundary integral equation with the improved moving least-square method,an improved meshless local boundary integral equation method is presented.In the improved moving least-square method,the weighted orthogonal functions are used as basis ones so that the matrix inverse at each quadrature point is avoided and the algebra equations
openaire   +1 more source

SPH Simulates Steep‐Stepped Spillway Flows Assessing Convergence, DDT Effects, and Pressure Accuracy

open access: yesChemical Engineering &Technology, Volume 49, Issue 4, April 2026.
Numerical investigation of high‐gradient stepped spillway flows using the SPH method, highlighting the simulation setup and skimming flow regime. Convergence analysis compares results with and without the Density Diffusion Term (DDT), showing its effectiveness in reducing spurious oscillations.
Eduardo Masaji Endo   +3 more
wiley   +1 more source

Large Deformation Pile‐soil Interaction Under Lateral Vehicle Impact Using Hybrid SPH+FEM and EFG+FEM Models

open access: yesInternational Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 5, Page 2648-2669, 10 April 2026.
ABSTRACT This study presents large deformation computational methods to simulate lateral vehicular impacts on steel piles in granular soil. Soil‐mounted longitudinal barrier systems rely on energy dissipation in both the piles and the surrounding soil to safely redirect errant vehicles, so dynamic pile‐soil interaction is important for design ...
Tewodros Y. Yosef   +6 more
wiley   +1 more source

Meshless Local Petrov-Galerkin Method for 3D Steady-State Heat Conduction Problems

open access: yesAdvances in Mechanical Engineering, 2011
The Meshless Local Petrov-Galerkin (MLPG) method is applied for solving the three-dimensional steady state heat conduction problems. This method is a truly meshless approach; also neither the nodal connectivity nor the background mesh is required for ...
M. J. Mahmoodabadi   +3 more
doaj   +1 more source

Space Correlation Constrained Physics Informed Neural Network for Seismic Tomography

open access: yesJournal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 2, April 2026.
Abstract Physics‐informed neural networks (PINNs) integrate physical constraints with neural architectures and leverage their nonlinear fitting capabilities to solve complex inverse problems. Tomography serves as a classic example, aiming to reconstruct subsurface velocity models to improve seismic exploration.
Yonghao Wang   +3 more
wiley   +1 more source

A well-balanced meshless tsunami propagation and inundation model

open access: yes, 2017
We present a novel meshless tsunami propagation and inundation model. We discretize the nonlinear shallow-water equations using a well-balanced scheme relying on radial basis function based finite differences.
Behrens, Jörn   +3 more
core   +1 more source

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