The DPG method for the Stokes problem

Authors:
Nathan V. Roberts;Tan Bui-Thanh;Leszek Demkowicz
Affiliations:
-;-;-
Venue:
Computers & Mathematics with Applications
Year:
2014

Citing 6
Cited 1

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Abstract

We discuss well-posedness and convergence theory for the DPG method applied to a general system of linear Partial Differential Equations (PDEs) and specialize the results to the classical Stokes problem. The Stokes problem is an iconic troublemaker for standard Bubnov-Galerkin methods; if discretizations are not carefully designed, they may exhibit non-convergence or locking. By contrast, DPG does not require us to treat the Stokes problem in any special manner. We illustrate and confirm our theoretical convergence estimates with numerical experiments.