A least-squares/penalty method for distributed optimal control problems for Stokes equations
✍ Scribed by Youngmi Choi; Hyung-Chun Lee; Byeong-Chun Shin
- Book ID
- 108077126
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 997 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0898-1221
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📜 SIMILAR VOLUMES
We prove the convergence of a least-square mixed method for Stokes equations by use of an operator theoretic approach. The method does not require LBB condition on the finite dimensional subspaces. The resulting bilinear form is symmetric and positive definite, which leads to optimal convergence and
## Abstract A least‐squares meshfree method based on the first‐order velocity–pressure–vorticity formulation for two‐dimensional incompressible Navier–Stokes problem is presented. The convective term is linearized by successive substitution or Newton's method. The discretization of all governing eq