2 citations · 2 across the 3 of their papers we have counts for
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On Computing Coercivity Constants in Linear Variational Problems Through Eigenvalue Analysis
Peter Sentz, Jehanzeb Hameed Chaudhry, Luke N. Olson
In this work, we investigate the convergence of numerical approximations to coercivity constants of variational problems. These constants are essential components of rigorous error…
Reduced Basis Approximations of Parameterized Dynamical Partial Differential Equations via Neural Networks
Peter Sentz, Kristian Beckwith, Eric C. Cyr +2
Projection-based reduced order models are effective at approximating parameter-dependent differential equations that are parametrically separable. When parametric separability is n…
A Least-Squares Finite Element Reduced Basis Method
Jehanzeb Hameed Chaudhry, Luke N. Olson, Peter Sentz
We present a reduced basis (RB) method for parametrized linear elliptic partial differential equations (PDEs) in a least-squares finite element framework. A rigorous and reliable e…