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A Family of curl-curl Conforming Finite Elements on Tetrahedral Meshes
2020
CSIAM Transactions on Applied Mathematics
In [23] , we, together with our collaborator, proposed a family of H(curl 2 )conforming elements on both triangular and rectangular meshes. The elements provide a brand new method to solve the quad-curl problem in 2 dimensions. In this paper, we turn our focus to 3 dimensions and construct H(curl 2 )-conforming finite elements on tetrahedral meshes. The newly proposed elements have been proved to have the optimal interpolation error estimate. Having the tetrahedral elements, we can solve the
doi:10.4208/csiam-am.2020-0023
fatcat:7hr3mevu65f4feb7bwxgkp7s54