Results 51 to 60 of about 3,557 (174)

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  

Deep Energy Method for Large Deformation Analysis of Isotropic and Inhomogeneous Hyperelastic Ellipsoidal Pressurized Structures

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT The accurate prediction of displacement and stress fields in pressure vessels is essential for the safe and reliable design of these structures, particularly when dealing with nonlinear behavior such as that of hyperelastic functionally graded materials (FGMs).
Nasser Firouzi, Shaofan Li, Timon Rabczuk   +2 more
wiley   +1 more source

Hybrid Equilibrium Element Formulation for Large Displacement Nonlinear Elasticity

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT The present paper proposes an equilibrium‐based finite element formulation for the analysis of large displacement and large strain nonlinear elasticity problems. The proposed formulation is based on the Hybrid Equilibrium Element (HEE) and is developed in an updated Lagrangian framework.
Francesco Parrinello, Simona Lo Franco, Guido Borino   +2 more
wiley   +1 more source

An introduction to meshfree methods and their programming

, 2005
10.1007/1-4020-3468-7An Introduction to Meshfree Methods and Their Programming1 ...
Gu, YT, Liu, G.R., Liu, Gui-Rong, Gu, YuanTong, Gu, Y.T., Liu, GR   +5 more
core   +1 more source

Surface and Boundary Corrections in Peridynamics Using Optimized Nodal Influence Weights

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT Peridynamics (PD), similarly to some other nonlocal continuum theories, exhibits truncated interaction horizons near free surfaces, cracks, and voids in bounded domains. This loss of neighbors causes artificial surface effects and inconsistencies in the derivative and energy operators that persist under discretization refinement, limiting PD ...
Arman Shojaei, Greta Ongaro, Alexander Hermann, Stewart A. Silling, Patrizia Trovalusci, Christian J. Cyron   +5 more
wiley   +1 more source

Preface

, 2022
S.VThe Eighth International Workshop on Meshfree Methods for Partial Differential Equations was held from September 7 to September 9, 2015, in Bonn, Germany. It was dedicated to the memory of Ted Belytschko, who passed away in September 2014.
Griebel, M., Schweitzer, M.A.
core   +1 more source

A Quasicontinuum Method With Optimized Local Maximum‐Entropy Interpolation and Heaviside Enrichment for Heterogeneous Lattices

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACTLattice systems are indispensable for modeling and analyzing physical phenomena in materials with discrete or heterogeneous micro‐ or meso‐structures. However, the computational requirements for practical engineering applications of lattice systems remain high.
Benjamin Werner, Ondřej Rokoš, Jan Zeman   +2 more
wiley   +1 more source

A Meshfree Splitting Method for Soliton Dynamics in Nonlinear Schroedinger Equations

, 2012
A new method for the numerical simulation of the so-called solitondynamics arising in a nonlinear Schroedinger equation in the semi-classical regime is proposed. For the time discretization a classical fourth-order splitting method is used.
A. Ostermann, Marco Caliari, S. Rainer, Stefan Rainer, CALIARI, Marco, Alexander Ostermann   +5 more
core   +1 more source

Chebyshev Smoothing With Adaptive Block‐FSAI Preconditioners for the Multilevel Solution of Higher‐Order Problems With the Partition of Unity Method

Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.
ABSTRACT In this paper, we assess the performance of adaptive and nested factorized sparse approximate inverses as smoothers in multilevel V‐cycles, when smoothing is performed following the Chebyshev iteration of the fourth kind, for the efficient solution of linear systems arising from a conforming discretization of higher‐order partial differential ...
Pablo Jiménez Recio, Marc Alexander Schweitzer   +1 more
wiley   +1 more source

Meshfree Variational-Physics-Informed Neural Networks (MF-VPINN): An Adaptive Training Strategy

Algorithms
In this paper, we introduce a Meshfree Variational-Physics-Informed Neural Network. It is a Variational-Physics-Informed Neural Network that does not require the generation of the triangulation of the entire domain and that can be trained with an ...
Stefano Berrone, Moreno Pintore
doaj   +1 more source