PUBLICATION |
** A stationary, incompressible two-phase flow problem with a variable interfacial
stress tensor σΓ (x) is considered. Variable interfacial tension is included as a special case. In
the weak formulation, the interfacial stress gives rise to a functional which is supported on the
interface Γ. A new finite element discretization of this functional is presented and analyzed. The
discretization admits almost independent meshes for the approximation of the interface and the
approximation of the flow variables. The main result is an O(h,k+1/2 )-error-bound in a natural
norm, if the discrete interface is an O(hk+1) -approximation of Γ. The bound is shown to be sharp
in a numerical experiment.
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