An Adaptive Savitsky-Golay Filter for Smoothing Finite Element Computation
Teodoro Collin, Gordon Kindlmann, and L. Ridgway Scott
TL;DR
This paper introduces an adaptive Savitzky-Golay filter tailored for smoothing data on multidimensional meshes in finite element computations, enhancing accuracy while preserving smoothness.
Contribution
It extends the Savitzky-Golay filter to multidimensional meshes and develops a SIAC filter suitable for finite-element methods.
Findings
Improved smoothing on multidimensional finite element data
Enhanced accuracy in finite element computations
Maintains smoothness while filtering
Abstract
The smoothing technique of Savitzky and Golay is extended to data defined on multidimensional meshes. A smoothness-increasing accuracy-conserving (SIAC) filter is defined that is suitable for use with finite-element computation.
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Taxonomy
TopicsStructural Health Monitoring Techniques · Numerical methods in engineering · Dam Engineering and Safety