3 papers
math.NA2026
Algorithm XXXX: Computation of finite element degree-of-freedom transformation matrices
Matthew W. Scroggs, Garth N. Wells
The arithmetic intensity of algorithms for computing finite element operators increases with increasing polynomial degree. This has made high degree methods particularly attractive…
math.NA2025
DefElement: an encyclopedia of finite element definitions
Matthew W. Scroggs, Pablo D. Brubeck, Joseph P. Dean +2
DefElement is an online encyclopedia of finite element definitions that was created and is maintained by the authors of this paper. DefElement aims to make information about elemen…
physics.comp-ph2023
Coupling finite and boundary element methods to solve the Poisson--Boltzmann equation for electrostatics in molecular solvation
Michal Bosy, Matthew W. Scroggs, Timo Betcke +2
The Poisson--Boltzmann equation is widely used to model electrostatics in molecular systems. Available software packages solve it using finite difference, finite element, and bound…