Results 51 to 60 of about 35,295 (208)

On the element free Galerkin method in the static-analysis for the 2-D elastic-linear problem

Vietnam Journal of Mechanics, 1999
The Element Free Galerkin (EFG) method is a mesh less method for solving partial differential equations in which the trial and test functions employed in the discretization process result from moving least square interpolations (weak form of the ...
Nguyen Hoai Son, Nguyen The Quang
doaj   +1 more source

Optimal influence cover for an element free Galerkin MFree method based on artificial neural network

Comptes Rendus. Mécanique, 2020
The present investigation presents an efficient meshless method based on the weak form of an element-free-Galerkin method. The formulation of the numerical solution was conducted using an artificial neural network (ANN) approach to compute the optimal ...
Hajjout, Imane, Haddouch, Manal, Boudi, El Mostapha   +2 more
doaj   +1 more source

Local Maximum Entropy Shape Functions Based FE-EFGM Coupling [PDF]

, 2013
In this paper, a new method for coupling the finite element method (FEM)and the element-free Galerkin method (EFGM) is proposed for linear elastic and geometrically nonlinear problems using local maximum entropy shape functions in theEFG zone of the ...
Augarde, C.E., Coombs, W. M., Ullah, Z.
core  

A discontinuous Galerkin method for a new class of Green-Naghdi equations on simplicial unstructured meshes [PDF]

, 2016
In this paper, we introduce a discontinuous Finite Element formulation on simplicial unstructured meshes for the study of free surface flows based on the fully nonlinear and weakly dispersive Green-Naghdi equations.
Duran, Arnaud, Marche, Fabien
core   +5 more sources

Stabilized Finite Elements for Incompressible, Stationary Navier–Stokes Flows on Manifolds

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT A surface finite element method with residual‐based stabilization for stationary Navier–Stokes flows on curved manifolds is introduced. The mixed formulation in stress‐divergence form leads to a system of equations that has a saddle‐point structure.
Michael Wolfgang Kaiser, Thomas‐Peter Fries   +1 more
wiley   +1 more source

Reliability analysis based on gradient and heuristic optimization techniques of composite laminates using element-free Galerkin method [PDF]

International Journal for Simulation and Multidisciplinary Design Optimization, 2008
This work presents a reliability methodology that couples gradient and heuristic based reliability methods with element-free Galerkin method applied in composite laminates structures.
Rojas J. E., El Hami A., Rade D. A.
doaj   +1 more source

On the stability of projection methods for the incompressible Navier-Stokes equations based on high-order discontinuous Galerkin discretizations

, 2017
The present paper deals with the numerical solution of the incompressible Navier-Stokes equations using high-order discontinuous Galerkin (DG) methods for discretization in space.
Fehn, Niklas, Kronbichler, Martin, Wall, Wolfgang A.   +2 more
core   +1 more source

A Stable and Accurate X‐FFT Solver for Linear Elastic Homogenization Problems in 3D

International Journal for Numerical Methods in Engineering, Volume 127, Issue 10, 30 May 2026.
ABSTRACT Although FFT‐based methods are renowned for their numerical efficiency and stability, traditional discretizations fail to capture material interfaces that are not aligned with the grid, resulting in suboptimal accuracy. To address this issue, the work at hand introduces a novel FFT‐based solver that achieves interface‐conforming accuracy for ...
Flavia Gehrig, Matti Schneider
wiley   +1 more source

A Sparse and High-Order Accurate Line-Based Discontinuous Galerkin Method for Unstructured Meshes

, 2012
We present a new line-based discontinuous Galerkin (DG) discretization scheme for first- and second-order systems of partial differential equations.
Persson, Per-Olof
core   +1 more source

Space‐Time FEM Solution of Dynamic Contact Problem With Discontinuous Velocity for Multiple Impact of Deformed Bar Using PDAS Method

Mathematical Methods in the Applied Sciences, Volume 49, Issue 7, Page 5897-5912, 15 May 2026.
ABSTRACT A class of one‐dimensional impact and dynamic contact problems taking into account non‐smooth velocities is studied. The new space‐time finite element approximation of dynamic variational inequalities is suggested. The non‐smooth solution for the impact of an obstacle by an elastic bar and its energy conservation under persistency conditions ...
Victor A. Kovtunenko, Adrien Petrov, Yves Renard   +2 more
wiley   +1 more source