A Fast Radial Basis Functions Method For Solving Partial Differential Equations On Arbitrary Surfaces
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Date and time:听
Friday, September 18, 2015 - 3:00pm
尝辞肠补迟颈辞苍:听
ECCR 245
础产蝉迟谤补肠迟:听
The RBF Orthogonal Gradients Method (OGr) allows us to compute differential operators restricted to general surfaces in R3 just by means of point clouds. It also benefits from RBFs' strengths: simplicity, high accuracy and also a meshfree character, which gives the flexibility to represent the most complex geometries. We are introducing a fast version of the OGr algorithm, which makes use of RBF-generated finite dierences to discretize the differential operators.
REFERENCES
[1] Piret C. "The Orthogonal Gradients Method: a Radial Basis Functions Method for Solving Partial Differential Equations on Arbitrary Surfaces", Journal of Computational Physics, 231(14), 4662{4675, (2012).
[2] Piret C. "The Fast Orthogonal Gradients Method: a Radial Basis Functions Method for Solving Partial Differential Equations on Arbitrary Surfaces", to be submitted.
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