scholarly journals Frequency-Domain Numerical Modelling of Visco-Acoustic Waves Based on Finite-Difference and Finite-Element Discontinuous Galerkin Methods

10.5772/9714 ◽  
2010 ◽  
Author(s):  
Romain Brossier ◽  
Vincent Etienne ◽  
Stephane Operto ◽  
Jean Virieux
Keyword(s):  
Finite Element ◽  
Finite Difference ◽  
Numerical Modelling ◽  
Frequency Domain ◽  
Discontinuous Galerkin ◽  
Acoustic Waves ◽  
Discontinuous Galerkin Methods ◽  
Galerkin Methods

Simulation of Delamination Using Discontinuous Galerkin Finite Element Methods and Cohesive Models

2009 ◽  
Vol 417-418 ◽  
pp. 501-504
Author(s):  
Felicia Stan
Keyword(s):  
Finite Element ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Methods ◽  
Element Formulation ◽  
Galerkin Methods ◽  
Computational Framework ◽  
Cohesive Models ◽  
Discontinuous Galerkin Finite Element ◽  
Initial Mesh ◽  
Galerkin Finite Element Methods

This paper presents a computational framework for simulation of delamination that combines the features of the discontinuous Galerkin methods with the versatility of the cohesive zone models. Within the finite element formulation of the discontinuous Galerkin methods, displacement discontinuities (jumps) are allowed across the element boundaries. Thus, the cracks are naturally included in the model without modifying the initial mesh. The displacement discontinuities across the element boundaries are used to compute the separations in the cohesive fracture law. The delamination initiation occurs when the traction across the element boundaries reaches its maximum; when the separation exceeds a critical value, total decohesion occurs. Numerical example is presented to illustrate the validity and effectiveness of the present methodology.

scholarly journals NUMERICAL ANALYSIS OF AN IMPLICIT FULLY DISCRETE LOCAL DISCONTINUOUS GALERKIN METHOD FOR THE FRACTIONAL ZAKHAROV–KUZNETSOV EQUATION

2012 ◽  
Vol 17 (4) ◽  
pp. 558-570 ◽  
Author(s):  
Zongxiu Ren ◽  
Leilei Wei ◽  
Yinnian He ◽  
Shaoli Wang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Analysis ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Methods ◽  
Local Discontinuous Galerkin Method ◽  
Galerkin Methods ◽  
Fully Discrete ◽  
Local Discontinuous Galerkin ◽  
Local Discontinuous Galerkin Methods

In this paper we develop and analyze an implicit fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional Zakharov–Kuznetsov equation. The method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space. We show that our scheme is unconditional stable and L 2 error estimate for the linear case with the convergence rate through analysis.

Sign in / Sign up

Export Citation Format

Share Document