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math.NA2023
Generalized moving least squares vs. radial basis function finite difference methods for approximating surface derivatives
Andrew M. Jones, Peter A. Bosler, Paul A. Kuberry +1
Approximating differential operators defined on two-dimensional surfaces is an important problem that arises in many areas of science and engineering. Over the past ten years, loca…
math.NA2022★ 1 cited
MGM: A meshfree geometric multilevel method for systems arising from elliptic equations on point cloud surfaces
Grady B. Wright, Andrew M. Jones, Varun Shankar
We develop a new meshfree geometric multilevel (MGM) method for solving linear systems that arise from discretizing elliptic PDEs on surfaces represented by point clouds. The metho…