Results 21 to 30 of about 18,760 (165)

Application of Moving Kriging Shape Functions on Plate Problems

NUST Journal of Engineering Sciences, 2008
The Moving Kriging (MK) interpolation was recently proposed as a superior substitution of the Moving Least Square (MLS) approximation in the construction of shape functions for the Element-Free Galerkin Method (EFGM).
Shazim Ali Memon, Worsak Kanok- Nukulchai, Sajjad Haider   +2 more
doaj   +1 more source

Correct energy evolution of stabilized formulations: The relation between VMS, SUPG and GLS via dynamic orthogonal small-scales and isogeometric analysis. II: The incompressible Navier-Stokes equations

, 2018
This paper presents the construction of a correct-energy stabilized finite element method for the incompressible Navier-Stokes equations. The framework of the methodology and the correct-energy concept have been developed in the convective--diffusive ...
Akkerman, I., Eikelder, M. Ten
core   +1 more source

Discontinuous Galerkin approximations in computational mechanics: hybridization, exact geometry and degree adaptivity [PDF]

, 2019
Discontinuous Galerkin (DG) discretizations with exact representation of the geometry and local polynomial degree adaptivity are revisited. Hybridization techniques are employed to reduce the computational cost of DG approximations and devise the ...
Giacomini, Matteo, Sevilla Cárdenas, Rubén   +1 more
core   +2 more sources

Coupling of FEM and EFGM with dynamic decomposition in 2D quasi-brittle crack growth analysis

Computer Assisted Methods in Engineering and Science, 2023
In the paper three computational models for crack growth analysis in quasi-brittle materials in plane stress state are presented. These models have been worked out on the base of different methods of coupling the finite element method and the element ...
Jan Jaśkowiec, Czesław Cichoń
doaj  

An Improved Iterative HDG Approach for Partial Differential Equations

, 2017
We propose and analyze an iterative high-order hybridized discontinuous Galerkin (iHDG) discretization for linear partial differential equations. We improve our previous work (SIAM J. Sci. Comput. Vol. 39, No. 5, pp. S782--S808) in several directions: 1)
Bui-Thanh, Tan, Muralikrishnan, Sriramkrishnan, Tran, Minh-Binh   +2 more
core   +1 more source

Element-Free Galerkin Method Based on Block-Pulse Wavelets Integration for Solving Fourth-Order Obstacle Problem

Journal of Applied Mathematics, 2013
We introduce improved element-free Galerkin method based on block pulse wavelet integration for numerical approximations to the solution of a system of fourth-order boundary-value problems associated with obstacle, unilateral, and contact problems ...
Muhammad Azam, Khalid Parvez, Muhammad Omair   +2 more
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

Stabilization arising from PGEM : a review and further developments [PDF]

, 2009
The aim of this paper is twofold. First, we review the recent Petrov-Galerkin enriched method (PGEM) to stabilize numerical solutions of BVP's in primal and mixed forms.
Araya, Araya, Araya, Arnold, Baiocchi, Bank, Barrenechea, Barrenechea, Barrenechea, Brezzi, Brezzi, Brezzi, Brezzi, Brezzi, Brezzi, Brooks, Cangiani, Clément, Ern, Franca, Franca, Franca, Franca, Franca, Franca, Franca, Frédéric Valentin, Gabriel R. Barrenechea, Girault, Hughes, Hughes, Leopoldo P. Franca, Linb, Pierre, Rodolfo Araya, Roos, Stynes, Thomée   +37 more
core   +2 more sources

The improved interpolating element-free Galerkin method with nonsingular weight functions for 3D Schrödinger equations

Alexandria Engineering Journal
In this study, the improved interpolating element-free Galerkin (IIEFG) method with a nonsingular weight function for solving the 3D Schrödinger equations is presented.
Haili Cui, Zhijuan Meng, Heng Cheng, Lidong Ma   +3 more
doaj   +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