A scalable and robust preconditioner for high-order FEM based on the fast diagonalization method. - Pablo D. Brubeck; Patrick E. Farrell (CoRR, 2021)

Vandermonde with Arnoldi. - Pablo D. Brubeck; Yuji Nakatsukasa; Lloyd N. Trefethen (SIAM Rev., 2021)

A Scalable and Robust Vertex-Star Relaxation for High-Order FEM. - Pablo D. Brubeck; Patrick E. Farrell (SIAM J. Sci. Comput., 2022)

Lightning Stokes Solver. - Pablo D. Brubeck; Lloyd N. Trefethen (SIAM J. Sci. Comput., 2022)

FIAT: improving performance and accuracy for high-order finite elements. - Pablo D. Brubeck; Robert C. Kirby; Fabian Laakmann; Lawrence Mitchell (CoRR, 2024)

Multigrid Solvers for the de Rham Complex with Optimal Complexity in Polynomial Degree. - Pablo D. Brubeck; Patrick E. Farrell (SIAM J. Sci. Comput., 2024)

FIAT: enabling classical and modern macroelements. - Pablo D. Brubeck; Robert C. Kirby (CoRR, 2025)

Fast solvers for the high-order FEM simplicial de Rham complex. - Pablo D. Brubeck; Patrick E. Farrell; Robert C. Kirby; Charles Parker (CoRR, 2025)

DefElement: an encyclopedia of finite element definitions. - Matthew W. Scroggs; Pablo D. Brubeck; Joseph P. Dean; Jørgen S. Dokken; India Marsden (CoRR, 2025)