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.
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A finite element method by patch reconstruction for the Stokes problem using mixed formulations
, 2019 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
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Asperity‐Driven Cascading Rupture of a Mw 1.6 Induced Microearthquake
Geophysical Research Letters, Volume 53, Issue 8, 28 April 2026.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
Nonlinear Analysis of Corrugated Core Sandwich Plates Using the Element-Free Galerkin Method
BuildingsThis 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
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A Modification of the Moving Least-Squares Approximation in the Element-Free Galerkin Method
Journal of Applied Mathematics, 2014 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
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Goal Oriented Error Estimation for the Element Free Galerkin Method [PDF]
, 2007 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
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Two fluid space-time discontinuous Galerkin finite element method. Part I: numerical algorithm [PDF]
, 2009 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
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Latin American Journal of Solids and StructuresOne 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
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Solution of Elasto-Statics Problems Using the Element-Free Galerkin Method with Local Maximum Entropy Shape Functions [PDF]
The element free Galerkin method (EFGM) [1] is one of the most robust meshless methods for the solution of elasto-statics problems. In the EFGM, moving least squares (MLS) shape functions are used for the approximation of the field variable.
Augarde, Charles, Ullah, Zahur
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Adaptive Element-Free Galerkin method applied to the limit analysis of plates [PDF]
The implementation of an h-adaptive Element-Free Galerkin (EFG) method in the framework of limit analysis is described. The naturally conforming property of mesh- free approximations (with no nodal connectivity required) facilitates the implementation of
Askes, Harm +2 more
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