Mathematics – Numerical Analysis
Scientific paper
2011-11-02
Mathematics
Numerical Analysis
20 pages, many figures from computation
Scientific paper
Weak Galerkin (WG) refers to general finite element methods for partial differential equations in which differential operators are approximated by weak forms through the usual integration by parts. In particular, WG methods allow the use of discontinuous finite element functions in the algorithm design. One of such examples was recently introduced by Wang and Ye for solving second order elliptic problems. The goal of this paper is to apply the WG method of Wang and Ye to the Helmholtz equation with high wave numbers. Several test scenarios are designed for a numerical investigation on the accuracy, convergence, and robustness of the WG method in both inhomogeneous and homogeneous media over convex and non-convex domains. Our numerical experiments indicate that weak Galerkin is a finite element technique that is easy to implement, and provides very accurate and robust numerical solutions for the Helmholtz problem with high wave numbers.
Mu Ling-Li
Wang Jun-ping
Ye Xiu
Zhao Shan
No associations
LandOfFree
A Numerical Study on the Weak Galerkin Method for the Helmholtz Equation with Large Wave Numbers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A Numerical Study on the Weak Galerkin Method for the Helmholtz Equation with Large Wave Numbers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Numerical Study on the Weak Galerkin Method for the Helmholtz Equation with Large Wave Numbers will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-700453