Papers
Preprints and journal articles. My papers are also listed on Google Scholar and arXiv.
Preprints
- Discrete Poincaré and Bogovskiĭ operators for higher order finite element de Rham complexes arXiv:2611.05698
- A symmetric counterexample to Strang’s conjecture for bivariate C1 cubic splines on triangulations arXiv:2610.08470
- Bounded, commuting, discrete-trace preserving projections arXiv:2604.28103
- Discrete Poincaré and Bogovskiĭ operators on cochains and Whitney forms arXiv:2603.29018
Journal articles
- A framework for analysis of DEC approximations to Hodge-Laplacian problems using generalized Whitney forms arXiv:2505.08934 doi:10.1090/mcom/4245
- Local L2-bounded commuting projections using discrete local problems on Alfeld splits arXiv:2502.03601
- Discrete Poincaré inequalities: a review on proofs, equivalent formulations, and behavior of constants arXiv:2412.11796 doi:10.1093/imanum/draf089