Name
Abstract | ||
|---|---|---|
This paper studies L-2 norm error estimates for the div least-squares method for which the associated homogeneous least-squares functional is equivalent to the H(div) x H-1 norm for the respective dual and primal variables. Least-squares of this type for the second-order elliptic equations, elasticity, and the Stokes equations are an active area of research, and error estimates in the H(div) x H-1 norm were previously established. In this paper, we establish optimal L-2 norm error estimates for the primal variable under the minimum regularity requirement through a refined duality argument. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1137/050636504 | SIAM JOURNAL ON NUMERICAL ANALYSIS |
Keywords | DocType | Volume |
least-squares method,error estimate,elliptic equations,elasticity,Stokes,incompressible Newtonian flow | Journal | 44 |
Issue | ISSN | Citations |
4 | 0036-1429 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| zhiqiang cai | 1 | 344 | 78.81 |
| JaEun Ku | 2 | 14 | 6.30 |