Truncation error estimates of approximate differential operators of a particle method based on the Voronoi decomposition

• DOI: 10.14495/jsiaml.9.69
• Publication Date: 2017-10-18T22:19:50Z
• Authors: Yusuke Imoto; Daisuke Tagami
• Keywords: Truncation (statistics); Truncation error

Truncation errors are considered for approximate differential operators with a class of particle methods. Introducing sufficient conditions the weight function and regularity family discrete parameters leads to truncation error estimates gradient Laplace method based on Voronoi decomposition. Moreover, some numerical results agree well theoretical ones.