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08/14/2023
Locally Adaptive and Differentiable Regression
Over-parameterized models like deep nets and random forests have become ...
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07/25/2023
Differentiable Turbulence II
Differentiable fluid simulators are increasingly demonstrating value as ...
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07/07/2023
Differentiable Turbulence
Deep learning is increasingly becoming a promising pathway to improving ...
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03/05/2023
Discretization of non-uniform rational B-spline (NURBS) models for meshless isogeometric analysis
We present an algorithm for fast generation of quasi-uniform and variabl...
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02/13/2023
Multiscale Graph Neural Network Autoencoders for Interpretable Scientific Machine Learning
The goal of this work is to address two limitations in autoencoder-based...
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09/23/2022
Differentiable physics-enabled closure modeling for Burgers' turbulence
Data-driven turbulence modeling is experiencing a surge in interest foll...
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05/19/2022
Accelerated Training of Physics Informed Neural Networks (PINNs) using Meshless Discretizations
We present a new technique for the accelerated training of physics-infor...
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04/13/2022
MGM: A meshfree geometric multilevel method for systems arising from elliptic equations on point cloud surfaces
We develop a new meshfree geometric multilevel (MGM) method for solving ...
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08/20/2021
Immersed boundary simulations of cell-cell interactions in whole blood
We present a new method for the geometric reconstruction of elastic surf...
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04/30/2021
Towards an Extrinsic, CG-XFEM Approach Based on Hierarchical Enrichments for Modeling Progressive Fracture
We propose an extrinsic, continuous-Galerkin (CG), extended finite eleme...
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12/11/2020
A fine-grained parallelization of the immersed boundary method
We present new algorithms for the parallelization of Eulerian-Lagrangian...
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11/13/2020
An Efficient High-Order Meshless Method for Advection-Diffusion Equations on Time-Varying Irregular Domains
We present a high-order radial basis function finite difference (RBF-FD)...
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10/15/2019
A Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds
We present a new hyperviscosity formulation for stabilizing radial basis...
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07/08/2018
RBF-LOI: Augmenting Radial Basis Functions (RBFs) with Least Orthogonal Interpolation (LOI) for Solving PDEs on Surfaces
We present a new method for the solution of PDEs on manifolds M⊂R^d of c...
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06/11/2018
Hyperviscosity-Based Stabilization for Radial Basis Function-Finite Difference (RBF-FD) Discretizations of Advection-Diffusion Equations
We present a novel hyperviscosity formulation for stabilizing RBF-FD dis...
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06/08/2018
Robust Node Generation for Meshfree Discretizations on Irregular Domains and Surfaces
We present a new algorithm for the automatic one-shot generation of scat...
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04/10/2018
Curvilinear Mesh Adaptation using Radial Basis Function Interpolation and Smoothing
We present a new iterative technique based on radial basis function (RBF...
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04/04/2018
