Name
Abstract | ||
|---|---|---|
We prove error estimates in the maximum norm, namely in $$W^{1,\\infty }(\\Omega )^3\\times L^\\infty (\\Omega )$$W1,¿(Ω)3×L¿(Ω), for the Stokes and Navier---Stokes equations in convex, three-dimensional domains $$\\Omega $$Ω with simplicial boundaries. We modify the weighted $$L^2$$L2 estimates for regularized Green functions used earlier by us, which impose restrictions on the domain beyond convexity. The new ingredient is a Hölder regularity estimate proved recently by V. Maz'ya and J. Rossmann for the Stokes system on polyhedra. We also extend the error analysis to $$W^{1,r}(\\Omega )^3\\times L^r(\\Omega )$$W1,r(Ω)3×Lr(Ω) for $$1 |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1007/s00211-015-0707-8 | Numerische Mathematik |
Keywords | Field | DocType |
65N15, 65N30, 76D07 | Mathematical optimization,Convexity,Mathematical analysis,Polyhedron,Regular polygon,Omega,Mathematics | Journal |
Volume | Issue | ISSN |
131 | 4 | 0945-3245 |
Citations | PageRank | References |
3 | 0.44 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vivette Girault | 1 | 225 | 32.59 |
| Ricardo H. Nochetto | 2 | 907 | 110.08 |
| L. R. Scott | 3 | 3 | 0.44 |