Title | ||
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Finite element discretization of the Navier-Stokes equations with a free capillary surface |
Abstract | ||
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. The instationary Navier--Stokes equations with a free capillaryboundary are considered in 2 and 3 space dimensions. A stable finite elementdiscretization is presented. The key idea is the treatment of the curvatureterms by a variational formulation. In the context of a discontinuous in timespace--time element discretization stability in (weak) energy norms can beproved.Numerical examples in 2 and 3 space dimensions are given.Key words: Capillary free boundary, instationary... |
Year | DOI | Venue |
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2001 | 10.1007/PL00005443 | Numerische Mathematik |
DocType | Volume | Issue |
Journal | 88 | 2 |
ISSN | Citations | PageRank |
0029-599X | 5 | 1.56 |
References | Authors | |
2 | 1 |
Name | Order | Citations | PageRank |
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Eberhard Bänsch | 1 | 141 | 35.47 |