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A note on the local approximation properties of piecewise polynomials with applications to LDG methods
(2006)
In this article we generalize some standard local approximation properties of piecewise polynomials, which are measured only in the Sobolev seminorms of order 0 and 1, to the case of fractional Sobolev seminorms. The ...
Insights on the Bifurcation Behavior of a Freeplay System with Piecewise and Continuous Representations
(2022-01-01)
Dynamical systems containing contact/impact between parts can be modeled as piecewise-smooth reduced-order models. The most common example is freeplay, which can manifest as a loose support, worn hinges, or backlash. ...