Abstract
In this paper, we present a pseudospectral scheme for solving 2D elastic wave equations. We start by analyzing boundary operators leading to the well-posedness of the problem. In addition, equivalent characteristic boundary conditions of common physical boundary conditions are discussed. These theoretical results are further employed to construct a Legendre pseudospectral penalty scheme based on a tensor product formulation for approximating waves on a general curvilinear quadrilateral domain. A stability analysis of the scheme is conducted for the case where a straight-sided quadrilateral element is used. The analysis shows that, by properly setting the penalty parameters, the scheme is stable at the semi-discrete level. Numerical experiments for testing the performance of the scheme are conducted, and the expected p- and h-convergence patterns are observed. Moreover, the numerical computations also show that the scheme is time stable, which makes the scheme suitable for long time simulations.
| Original language | English |
|---|---|
| Pages (from-to) | 313-348 |
| Number of pages | 36 |
| Journal | Journal of Scientific Computing |
| Volume | 33 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2007 Dec 1 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Software
- Theoretical Computer Science
- Numerical Analysis
- Engineering(all)
- Computational Theory and Mathematics
- Computational Mathematics
- Applied Mathematics
Cite this
}
A pseudospectral penalty scheme for 2D isotropic elastic wave computations. / Feng, Ko An; Teng, Chun Hao; Chen, Min Hung.
In: Journal of Scientific Computing, Vol. 33, No. 3, 01.12.2007, p. 313-348.Research output: Contribution to journal › Article
TY - JOUR
T1 - A pseudospectral penalty scheme for 2D isotropic elastic wave computations
AU - Feng, Ko An
AU - Teng, Chun Hao
AU - Chen, Min Hung
PY - 2007/12/1
Y1 - 2007/12/1
N2 - In this paper, we present a pseudospectral scheme for solving 2D elastic wave equations. We start by analyzing boundary operators leading to the well-posedness of the problem. In addition, equivalent characteristic boundary conditions of common physical boundary conditions are discussed. These theoretical results are further employed to construct a Legendre pseudospectral penalty scheme based on a tensor product formulation for approximating waves on a general curvilinear quadrilateral domain. A stability analysis of the scheme is conducted for the case where a straight-sided quadrilateral element is used. The analysis shows that, by properly setting the penalty parameters, the scheme is stable at the semi-discrete level. Numerical experiments for testing the performance of the scheme are conducted, and the expected p- and h-convergence patterns are observed. Moreover, the numerical computations also show that the scheme is time stable, which makes the scheme suitable for long time simulations.
AB - In this paper, we present a pseudospectral scheme for solving 2D elastic wave equations. We start by analyzing boundary operators leading to the well-posedness of the problem. In addition, equivalent characteristic boundary conditions of common physical boundary conditions are discussed. These theoretical results are further employed to construct a Legendre pseudospectral penalty scheme based on a tensor product formulation for approximating waves on a general curvilinear quadrilateral domain. A stability analysis of the scheme is conducted for the case where a straight-sided quadrilateral element is used. The analysis shows that, by properly setting the penalty parameters, the scheme is stable at the semi-discrete level. Numerical experiments for testing the performance of the scheme are conducted, and the expected p- and h-convergence patterns are observed. Moreover, the numerical computations also show that the scheme is time stable, which makes the scheme suitable for long time simulations.
UR - http://www.scopus.com/inward/record.url?scp=35548948031&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=35548948031&partnerID=8YFLogxK
U2 - 10.1007/s10915-007-9154-8
DO - 10.1007/s10915-007-9154-8
M3 - Article
AN - SCOPUS:35548948031
VL - 33
SP - 313
EP - 348
JO - Journal of Scientific Computing
JF - Journal of Scientific Computing
SN - 0885-7474
IS - 3
ER -