225 citations · 286 across the 8 of their papers we have counts for
10 papers
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…
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…
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…
Construction of arbitrary order finite element degree-of-freedom maps on polygonal and polyhedral cell meshes
Matthew W. Scroggs, Jørgen S. Dokken, Chris N. Richardson +1
We develop a method for generating degree-of-freedom maps for arbitrary order finite element spaces for any cell shape. The approach is based on the composition of permutations and…
Boundary element methods for Helmholtz problems with weakly imposed boundary conditions
Timo Betcke, Erik Burman, Matthew W. Scroggs
We consider boundary element methods where the Calderón projector is used for the system matrix and boundary conditions are weakly imposed using a particular variational boundary o…
Weak imposition of Signorini boundary conditions on the boundary element method
Erik Burman, Stefan Frei, Matthew W. Scroggs
We derive and analyse a boundary element formulation for boundary conditions involving inequalities. In particular, we focus on Signorini contact conditions. The Calderón projector…
Calderón preconditioning of PMCHWT boundary integral equations for scattering by multiple absorbing dielectric particles
Antigoni Kleanthous, Timo Betcke, David P. Hewett +2
We consider the simulation of electromagnetic scattering by single and multiple isotropic homogeneous dielectric particles using boundary integral equations. Galerkin discretizatio…
Boundary element methods with weakly imposed boundary conditions
Timo Betcke, Erik Burman, Matthew W. Scroggs
We consider boundary element methods where the Calderón projector is used for the system matrix and boundary conditions are weakly imposed using a particular variational boundary o…
Product algebras for Galerkin discretisations of boundary integral operators and their applications
Timo Betcke, Matthew Scroggs, Wojciech Smigaj
Operator products occur naturally in a range of regularized boundary integral equation formulations. However, while a Galerkin discretisation only depends on the domain space and t…
Software frameworks for integral equations in electromagnetic scattering based on Calderón identities
Matthew Scroggs, Timo Betcke, Erik Burman +2
In recent years there have been tremendous advances in the theoretical understanding of boundary integral equations for Maxwell problems. In particular, stable dual pairing of disc…