Cubic Lagrange elements satisfying exact incompressibility
classification
🧮 math.NA
cs.NA
keywords
cubicelementsmeshespiecewisevelocityadditionanalogcertain
read the original abstract
We prove that an analog of the Scott-Vogelius finite elements are inf-sup stable on certain nondegenerate meshes for piecewise cubic velocity fields. We also characterize the divergence of the velocity space on such meshes. In addition, we show how such a characterization relates to the dimension of C^1 piecewise quartics on the same mesh.
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