106 citations · 360 across the 21 of their papers we have counts for
4 papers · 1 filter
A priori error analysis of high-order LL* (FOSLL*) finite element methods
Brendan Keith
A number of non-standard finite element methods have been proposed in recent years, each of which derives from a specific class of PDE-constrained norm minimization problems. The m…
Adaptive sampling strategies for risk-averse stochastic optimization with constraints
Florian Beiser, Brendan Keith, Simon Urbainczyk +1
We introduce adaptive sampling methods for stochastic programs with deterministic constraints. First, we propose and analyze a variant of the stochastic projected gradient method w…
A fractional PDE model for turbulent velocity fields near solid walls
Brendan Keith, Ustim Khristenko, Barbara Wohlmuth
This paper presents a class of turbulence models written in terms of fractional partial differential equations (FPDEs) with stochastic loads. Every solution of these FPDE models is…
The surrogate matrix methodology: Accelerating isogeometric analysis of waves
Daniel Drzisga, Brendan Keith, Barbara Wohlmuth
The surrogate matrix methodology delivers low-cost approximations of matrices (i.e., surrogate matrices) which are normally computed in Galerkin methods via element-scale quadratur…