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Can I read Stable Finite Element Methods with Divergence Augmentation for the Stokes Problem on EtoBox?
Stable Finite Element Methods with Divergence Augmentation for the Stokes Problem by K. Kim; S. Lee is a Mathematics article available to read on EtoBox.
What is Stable Finite Element Methods with Divergence Augmentation for the Stokes Problem about?
The mixed finite element approximation scheme with divergence augmentation for the Stokes problem is analyzed. We show that the Pk+l --Pk-1 triangular elements or the Qk+l -Qk-1 quadrilateral elements in R 2, k > 1, are stable with h k+l/2 convergence in HI-norm for velocity and h k convergence in L2-norm for pressure. Moreover, h k+l convergence in H(div)-norm for velocity can be shown if the domain is convex. In R a, the cross-grid Pk+l -Pk-1 tetrahedral elements, k ~ 2, can be analyzed analogously for the approximation scheme with divergence augmentation and pressure stabilization. A numerical test which confirms the convergence analysis is presented. (~) 2001 Elsevier Science Ltd. All rights reserved.
Who reads Stable Finite Element Methods with Divergence Augmentation for the Stokes Problem?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- K. Kim; S. Lee
- Publisher
- Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0893-9659)
- Published
- 2001
- Language
- EN
- Field
- Mathematics (Physical Sciences)