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Title: A C 0 interior penalty method for the stream function formulation of the surface Stokes problem
We propose aC0interior penalty method for the fourth-order stream function formulation of the surface Stokes problem. The scheme utilizes continuous, piecewise polynomial spaces defined on an approximate surface. We show that the resulting discretization is positive definite and derive error estimates in various norms in terms of the polynomial degree of the finite element space as well as the polynomial degree to define the geometry approximation. A notable feature of the scheme is that it does not explicitly depend on the Gauss curvature of the surface. This is achievedviaa novel integration-by-parts formula for the surface biharmonic operator.  more » « less
Award ID(s):
2309425
PAR ID:
10591262
Author(s) / Creator(s):
;
Publisher / Repository:
EDP Sciences
Date Published:
Journal Name:
ESAIM: Mathematical Modelling and Numerical Analysis
Volume:
59
Issue:
2
ISSN:
2822-7840
Page Range / eLocation ID:
1177 to 1211
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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