Search Results for author: Thomas J. R. Hughes

Found 4 papers, 0 papers with code

Variationally Mimetic Operator Networks

no code implementations26 Sep 2022 Dhruv Patel, Deep Ray, Michael R. A. Abdelmalik, Thomas J. R. Hughes, Assad A. Oberai

The application of the VarMiON to a canonical elliptic PDE and a nonlinear PDE reveals that for approximately the same number of network parameters, on average the VarMiON incurs smaller errors than a standard DeepONet and a recently proposed multiple-input operator network (MIONet).

The Quad Layout Immersion: A Mathematically Equivalent Representation of a Surface Quadrilateral Layout

no code implementations17 Dec 2020 Kendrick M. Shepherd, René R. Hiemstra, Thomas J. R. Hughes

In this work, a surface quadrilateral layout is alternatively characterized as a special immersion of a cut representation of the surface into the Euclidean plane.

Computational Geometry Differential Geometry 53-08, 53Z30, 57R15, 57Z20 I.3.5

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