A block iterative finite element algorithm for numerical solution of the steady-state, compressible Navier-Stokes equations [PDF]
An iterative method for numerically solving the time independent Navier-Stokes equations for viscous compressible flows is presented. The method is based upon partial application of the Gauss-Seidel principle in block form to the systems of nonlinear ...
Cooke, C. H.
core +1 more source
A finite element method by patch reconstruction for the Stokes problem using mixed formulations
In this paper, we develop a patch reconstruction finite element method for the Stokes problem. The weak formulation of the interior penalty discontinuous Galerkin is employed.
Li, Ruo +3 more
core +1 more source
Global weak solutions for the compressible Poisson–Nernst–Planck–Navier–Stokes system
Abstract We consider the compressible Poisson–Nernst–Planck–Navier–Stokes (PNPNS) system of equations, governing the transport of charged particles under the influence of the self‐consistent electrostatic potential, in a three‐dimensional bounded domain.
Daniel Marroquin, Dehua Wang
wiley +1 more source
Nonlinear Analysis of Corrugated Core Sandwich Plates Using the Element-Free Galerkin Method
This paper presents a meshless Galerkin method for analyzing the nonlinear behavior of corrugated sandwich plates. A corrugated sandwich plate is a composite structure comprising two flat face sheets and a corrugated core, which can be approximated as an
Linxin Peng +4 more
doaj +1 more source
A Modification of the Moving Least-Squares Approximation in the Element-Free Galerkin Method
The element-free Galerkin (EFG) method is one of the widely used meshfree methods for solving partial differential equations. In the EFG method, shape functions are derived from a moving least-squares (MLS) approximation, which involves the inversion of ...
Yang Cao, Jun-Liang Dong, Lin-Quan Yao
doaj +1 more source
Element-Free Galerkin Method and Finite Element Method. Which is better?
"This paper is dedicated to the presentation of some qualities of a meshfree method – Element-Free Galerkin Method (EFGM) – which is few known and fewer used in Romania. In spite of a large using of the Finite Element Method (FEM), new numerical methods appeared, among these the Element-Free Galerkin Method (EFGM) is one.
VASILE NĂSTĂSESCU +2 more
openaire +1 more source
Asperity‐Driven Cascading Rupture of a Mw 1.6 Induced Microearthquake
Abstract Studies of small earthquake (M < 2) rupture processes traditionally rely on simplified models that assume symmetric slip or point sources. Using an exceptionally dense seismic network and empirical Green's function (EGF) analysis, we investigate the complex rupture of a Mw 1.6 microearthquake induced by hydraulic fracturing.
Xinxing Chen +3 more
wiley +1 more source
Two fluid space-time discontinuous Galerkin finite element method. Part I: numerical algorithm [PDF]
A novel numerical method for two fluid flow computations is presented, which combines the space-time discontinuous Galerkin finite element discretization with the level set method and cut-cell based interface tracking.
Bokhove, O. +2 more
core +2 more sources
Goal Oriented Error Estimation for the Element Free Galerkin Method [PDF]
A novel approach for implicit residual-type error estimation in meshfree methods is presented. This allows to compute upper and lower bounds of the error in energy norm with the ultimate goal of obtaining bounds for outputs of interest. The proposed approach precludes the main drawbacks of standard residual type estimators circumventing the need of ...
Vidal Seguí, Yolanda, Huerta, Antonio
openaire +4 more sources
One of the main drawbacks of Element Free Galerkin (EFG) method is its dependence on moving least square shape functions which don’t satisfy the Kronecker Delta property, so in this method it’s not possible to apply Dirichlet boundary conditions directly.
Samira Hosseini +3 more
doaj +1 more source

