Abstract
We analyze Local Projection Stabilization (LPS) methods for the solution of Stokes problem using equal order finite elements. We investigate their convergence, stability and accuracy properties. The resulting stabilized method is shown to lead to optimal rates of convergence for both velocity and pressure approximations. We distinguish two classes of LPS methods: one-level and two-level methods. Numerical examples using bilinear interpolations are presented to validate the analysis and assess the accuracy of both approaches.
Keywords
Publication details
- DOI
- 10.24200/squjs.vol17iss2pp187-199
- Journal
- Sultan Qaboos University Journal for Science, 17(2), 187
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Essefi, A., & Nafa, K. (2012). Local Projection Stabilization Method for Incompressible Flow Problems. Sultan Qaboos University Journal for Science, 17(2), 187. https://doi.org/10.24200/squjs.vol17iss2pp187-199
MLA 9
Essefi, A.M., and Kamel Nafa. "Local Projection Stabilization Method for Incompressible Flow Problems." Sultan Qaboos University Journal for Science, vol. 17, no. 2, 2012, pp. 187. https://doi.org/10.24200/squjs.vol17iss2pp187-199.
Chicago (author–date)
Essefi, A.M., and Kamel Nafa. 2012. "Local Projection Stabilization Method for Incompressible Flow Problems." Sultan Qaboos University Journal for Science 17 (2): 187. https://doi.org/10.24200/squjs.vol17iss2pp187-199.
Harvard
Essefi, A. and Nafa, K. (2012) 'Local Projection Stabilization Method for Incompressible Flow Problems', Sultan Qaboos University Journal for Science, 17(2), pp. 187. doi:10.24200/squjs.vol17iss2pp187-199.
Vancouver
Essefi A, Nafa K. Local Projection Stabilization Method for Incompressible Flow Problems. Sultan Qaboos University Journal for Science. 2012;17(2):187. doi:10.24200/squjs.vol17iss2pp187-199
IEEE
A. Essefi, and K. Nafa, "Local Projection Stabilization Method for Incompressible Flow Problems," Sultan Qaboos University Journal for Science, vol. 17, no. 2, pp. 187, 2012, doi: 10.24200/squjs.vol17iss2pp187-199.