Mixed Finite Element Approximations Based on Triangular and Tetrahedral Meshes with Identical High O

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:wangxiao8910
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  We consider the assembly of hierarchical high order Hdiv basis functions for triangular or tetrahedral meshes,which are used for dual(velocity)approximations on mixed finite element formulations.Compatible approximation spaces of type [P(k+1),p(k)] are used,indicating total degree k of the scalar approximations of the primal variable,and maximum total degree k+1 for Hdiv subspaces.Stable approximation spaces of type [P*(k),p(k)] can also be used,with identical convergence rates for primal and dual variables.
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