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math.NA2026
Cohomology of Finite Element Stokes Complexes on Alfeld Splits
Pablo D. Brubeck, Yizhou Liang, Charles Parker
We show that the cohomology of the finite element Stokes complex consisting of piecewise polynomials spaces on an Alfeld split mesh from Fu, Guzmán, & Neilan (2020, Math. Comp., 89…
math.NA2026
On the convergence of iterated penalty methods for structure-preserving discretizations of saddle point problems
Patrick E. Farrell, Michael Neilan, Charles Parker +1
We present new convergence estimates for the iterated penalty method applied to structure-preserving discretizations of linear generalized saddle point systems. The method may be v…
math.NA2026
Achieving Material Robustness via Symmetric Stress Finite Element Discretizations
Pablo Brubeck, Charles Parker, Umberto Zerbinati
When discretizing symmetric stress tensors in variational problems arising in continuum mechanics, one has to choose how to enforce the symmetry of the stress tensor: (i) strongly…