2024
DOI: 10.1002/nme.7548
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Point collocation with mollified piecewise polynomial approximants for high‐order partial differential equations

Dewangga Alfarisy,
Lavi Zuhal,
Michael Ortiz
et al.

Abstract: The solution approximation for partial differential equations (PDEs) can be substantially improved using smooth basis functions. The recently introduced mollified basis functions are constructed through mollification, or convolution, of cell‐wise defined piecewise polynomials with a smooth mollifier of certain characteristics. The properties of the mollified basis functions are governed by the order of the piecewise functions and the smoothness of the mollifier. In this work, we exploit the high‐order and high… Show more

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