Convergence of a Galerkin method for 2-D discontinuous Euler flows
Publication
, Journal Article
Liu, JG; Xin, Z
Published in: Communications on Pure and Applied Mathematics
January 1, 2000
We prove the convergence of a discontinuous Galerkin method approximating the 2-D incompressible Euler equations with discontinuous initial vorticity: ω0 ∈ L2(Ω). Furthermore, when ω0 ∈ L∞(Ω), the whole sequence is shown to be strongly convergent. This is the first convergence result in numerical approximations of this general class of discontinuous flows. Some important flows such as vortex patches belong to this class. © 2000 John Wiley & Sons, Inc.
Duke Scholars
Published In
Communications on Pure and Applied Mathematics
DOI
ISSN
0010-3640
Publication Date
January 1, 2000
Volume
53
Issue
6
Start / End Page
786 / 798
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Liu, J. G., & Xin, Z. (2000). Convergence of a Galerkin method for 2-D discontinuous Euler flows. Communications on Pure and Applied Mathematics, 53(6), 786–798. https://doi.org/10.1002/(SICI)1097-0312(200006)53:6<786::AID-CPA3>3.0.CO;2-Y
Liu, J. G., and Z. Xin. “Convergence of a Galerkin method for 2-D discontinuous Euler flows.” Communications on Pure and Applied Mathematics 53, no. 6 (January 1, 2000): 786–98. https://doi.org/10.1002/(SICI)1097-0312(200006)53:6<786::AID-CPA3>3.0.CO;2-Y.
Liu JG, Xin Z. Convergence of a Galerkin method for 2-D discontinuous Euler flows. Communications on Pure and Applied Mathematics. 2000 Jan 1;53(6):786–98.
Liu, J. G., and Z. Xin. “Convergence of a Galerkin method for 2-D discontinuous Euler flows.” Communications on Pure and Applied Mathematics, vol. 53, no. 6, Jan. 2000, pp. 786–98. Scopus, doi:10.1002/(SICI)1097-0312(200006)53:6<786::AID-CPA3>3.0.CO;2-Y.
Liu JG, Xin Z. Convergence of a Galerkin method for 2-D discontinuous Euler flows. Communications on Pure and Applied Mathematics. 2000 Jan 1;53(6):786–798.
Published In
Communications on Pure and Applied Mathematics
DOI
ISSN
0010-3640
Publication Date
January 1, 2000
Volume
53
Issue
6
Start / End Page
786 / 798
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics