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math.NA2022
Adjoint-based Adaptive Multi-Level Monte Carlo for Differential Equations
Jehanzeb Chaudhry, Zachary Stevens
We present a multi-level Monte Carlo (MLMC) algorithm with adaptively refined meshes and accurately computed stopping-criteria utilizing adjoint-based a posteriori error analysis f…
math.NA2022
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…