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Title: A new div-div-conforming symmetric tensor finite element space with applications to the biharmonic equation
A new H(divdiv)-conforming finite element is presented, which avoids the need for supersmoothness by redistributing the degrees of freedom to edges and faces. This leads to a hybridizable mixed method with superconvergence for the biharmonic equation. Moreover, new finite element divdiv complexes are established. Finally, new weak Galerkin and C0 discontinuous Galerkin methods for the biharmonic equation are derived.  more » « less
Award ID(s):
2309785 2012465
PAR ID:
10510562
Author(s) / Creator(s):
;
Publisher / Repository:
American Mathematical Society
Date Published:
Journal Name:
Mathematics of Computation
ISSN:
0025-5718
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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