Interpolation properties of generalized plane waves
Abstract
This paper is aimed at developing new shape functions adapted to the scalar wave equation with smooth (possibly vanishing) coefficients and investigates the numerical analysis of their interpolation properties. The interpolation is local, but high order convergence is shown with respect to the size of the domain considered. The new basis functions are then implemented in a numerical method to solve a scalar wave equation problem with a mixed...
Paper Details
Title
Interpolation properties of generalized plane waves
Published Date
Jan 15, 2015
Journal
Volume
131
Issue
4
Pages
683 - 711
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