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math.NA2019
A divergence-conforming finite element method for the surface Stokes equation
Andrea Bonito, Alan Demlow, Martin Licht
The Stokes equation posed on surfaces is important in some physical models, but its numerical solution poses several challenges not encountered in the corresponding Euclidean setti…
math.NA2019
Finite Element Methods for the Laplace-Beltrami Operator
Andrea Bonito, Alan Demlow, Ricardo H. Nochetto
Partial differential equations posed on surfaces arise in a number of applications. In this survey we describe three popular finite element methods for approximating solutions to t…