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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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01/15/2021
Implicit Surface Reconstruction with a Curl-free Radial Basis Function Partition of Unity Method
Surface reconstruction from a set of scattered points, or a point cloud,...
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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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10/29/2020
A Divergence-free and Curl-free Radial Basis Function Partition of Unity Method
Divergence-free (div-free) and curl-free vector fields are pervasive in ...
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01/13/2020
A stable algorithm for divergence-free radial basis functions in the flat limit
The direct method used for calculating smooth radial basis function (RBF...
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10/15/2019