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04/27/2023
Computing the L1 optimal transport density: a FEM approach
The L^1 optimal transport density μ^* is the unique L^∞ solution of the ...
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09/08/2022
A geometrically intrinsic Lagrangian-Eulerian scheme for 2D Shallow Water Equations with variable topography and discontinuous data
We present a Lagrangian-Eulerian scheme to solve the shallow water equat...
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03/14/2022
Convergence analysis of the intrinsic surface finite element method
The Intrinsic Surface Finite Element Method (ISFEM) was recently propose...
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01/04/2022
Nodal domain count for the generalized graph p-Laplacian
Inspired by the linear Schrödinger operator, we consider a generalized p...
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07/06/2021
Data-driven reduced order modeling of environmental hydrodynamics using deep autoencoders and neural ODEs
Model reduction for fluid flow simulation continues to be of great inter...
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06/14/2021
Computing the Cut Locus of a Riemannian Manifold via Optimal Transport
In this paper, we give a new characterization of the cut locus of a poin...
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06/11/2021
Numerical Solution of the L^1-Optimal Transport Problem on Surfaces
In this article we study the numerical solution of the L^1-Optimal Trans...
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05/05/2021