J. Borggaard

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20112026

most citedProper Orthogonal Decomposition Closure Models For Turbulent Flows: A Numerical Comparison

364 citations · 428 across the 14 of their papers we have counts for

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Showing 2018Show all

3 papers · 1 filter

math.ST2018

On Bayesian Consistency for Flows Observed Through a Passive Scalar

Jeff Borggaard, Nathan E. Glatt-Holtz, Justin A. Krometis

We consider the statistical inverse problem of estimating a background fluid flow field $v$ from the partial, noisy observations of the concentration $θ$ of a substance pa…

math.NA2018★ 4 cited

GPU-Accelerated Particle Methods for Evaluation of Sparse Observations for PDE-Constrained Inverse Problems

Jeff Borggaard, Nathan E. Glatt-Holtz, Justin A. Krometis

We consider the inverse problem of estimating parameters of a driven diffusion (e.g., the underlying fluid flow, diffusion coefficient, or source terms) from point measurements of…

math.AP2018

Affine Poisson & Non-Poisson trace principles for $H ˙^{- 1 < - α \leq - \frac{1}{2}} (R^{n - 1})$

Nico Lombardi, Jie Xiao

This note discovers not only an affine non-sharp-Poisson trace inequality but also its sharp-non-Poisson version for a Sobolev function with the fractional antiderivative.

On Bayesian Consistency for Flows Observed Through a Passive Scalar

GPU-Accelerated Particle Methods for Evaluation of Sparse Observations for PDE-Constrained Inverse Problems

Affine Poisson & Non-Poisson trace principles for H˙−1<−α≤−21​(Rn−1)

Affine Poisson & Non-Poisson trace principles for $H ˙^{- 1 < - α \leq - \frac{1}{2}} (R^{n - 1})$