Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem
Abstract
We introduce a Continuous/Discontinuous Galerkin Finite Element Method (CDFEM) with interior penalty terms to solve a nonlinear fourth-order problem that appears in the analysis of the confinement of fluid flows governed by the Stokes system. For the associated continuous and discrete problems, we prove the existence and uniqueness of weak solutions. Consistency, stability and convergence of the method are shown analytically. To show the...
Paper Details
Title
Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem
Published Date
Sep 1, 2021
Volume
97
Pages
122 - 152
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