Constructs low-regularity finite element elasticity complexes on Alfeld-split tetrahedra via local BGG arguments, yielding hybridizable H(div;S) stresses and unisolvent elements for displacement and incompatibility spaces.
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math.NA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Demonstrates computation of cohomology in BGG sequences via long exact sequences from short exact sequences of complexes, extended to non-bijective maps with spectral sequence view.
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Low-regularity finite element elasticity complexes with hybridizable stresses on tetrahedral Alfeld splits
Constructs low-regularity finite element elasticity complexes on Alfeld-split tetrahedra via local BGG arguments, yielding hybridizable H(div;S) stresses and unisolvent elements for displacement and incompatibility spaces.
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A note on short and long exact sequences in the BBG construction of complexes from complexes
Demonstrates computation of cohomology in BGG sequences via long exact sequences from short exact sequences of complexes, extended to non-bijective maps with spectral sequence view.