106 citations · 341 across the 22 of their papers we have counts for
5 papers · 1 filter
Hierarchical B-spline complexes of discrete differential forms
John A. Evans, Michael A. Scott, Kendrick Shepherd +2
In this paper, we introduce the hierarchical B-spline complex of discrete differential forms for arbitrary spatial dimension. This complex may be applied to the adaptive isogeometr…
Multi-patch discontinuous Galerkin isogeometric analysis for wave propagation: explicit time-stepping and efficient mass matrix inversion
Jesse Chan, John A Evans
We present a class of spline finite element methods for time-domain wave propagation which are particularly amenable to explicit time-stepping. The proposed methods utilize a disco…
A geometric multigrid method for isogeometric compatible discretizations of the generalized Stokes and Oseen problems
Christopher Coley, Joseph Benzaken, John A. Evans
In this paper, we present a geometric multigrid methodology for the solution of matrix systems associated with isogeometric compatible discretizations of the generalized Stokes and…
Variational Multiscale Modeling with Discontinuous Subscales: Analysis and Application to Scalar Transport
Christopher Coley, John A. Evans
We examine a variational multiscale method in which the unresolved fine-scales are approximated element-wise using a discontinuous Galerkin method. We establish stability and conve…
An isogeometric boundary element method for electromagnetic scattering with compatible B-spline discretizations
Robert N. Simpson, Zhaowei Liu, Ráfael Vazquez +1
We outline the construction of compatible B-splines on 3D surfaces that satisfy the continuity requirements for electromagnetic scattering analysis with the boundary element method…