الملخص
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.
الكلمات المفتاحية
بيانات النشر
- المعرّف الرقمي
- 10.24200/squjs.vol17iss2pp187-199
- المجلة
- مجلة جامعة السلطان قابوس للعلوم, 17(2), 187
- الناشر
- جامعة السلطان قابوس
- وصول مفتوح
- وصول مفتوح ذهبي
- الترخيص
- CC BY 4.0
اقتبس هذه المقالة
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.
شيكاغو (المؤلف–التاريخ)
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.
هارفارد
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.
فانكوفر
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.