Abstract | ||
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In this article we present efficient numerical methods for the Navier--Stokes equations with slip boundary conditions. A first method is based on a saddle-point formulation of the slip boundary condition. A congruent gradient (CG) method is applied to the Schur complement operator in order to solve the problem. We present two preconditioners for the CG-method which result in convergence rates independent of the mesh size. For a second method the slip boundary condition is enforced pointwise for nodal values of the velocity at boundary nodes. |
Year | DOI | Venue |
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2000 | 10.1137/S1064827598343991 | SIAM Journal on Scientific Computing |
Keywords | Field | DocType |
stokes equation,efficient numerical method,nodal value,slip boundary condition,numerical treatment,saddle-point formulation,stokes equations,mesh size,congruent gradient,convergence rate,boundary node,finite elements | Boundary knot method,Boundary value problem,Robin boundary condition,No-slip condition,Mathematical analysis,Poincaré–Steklov operator,Singular boundary method,Neumann boundary condition,Mathematics,Mixed boundary condition | Journal |
Volume | Issue | ISSN |
21 | 6 | 1064-8275 |
Citations | PageRank | References |
2 | 0.48 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Eberhard Bänsch | 1 | 141 | 35.47 |
Burkhard Höhn | 2 | 2 | 0.48 |