BDF-α : A Multistep Method with Numerical Damping Control

Autor:	Juan Jose Anza, Elisabete Alberdi Celaya
Rok vydání:	2013
Předmět:	Partial differential equation Control theory Ode Applied mathematics Dissipation Stability (probability) Finite element method Mathematics::Numerical Analysis Parametric statistics Mathematics
Zdroj:	Universal Journal of Computational Mathematics. 1:96-108
ISSN:	2332-3043 2332-3035
Popis:	When solving numerically the stiff second order ODE system obtained after semidiscretizing the wave-type partial differential equation (PDE) with the finite element method (FEM), and similarly to the HHT-α method, which allows the numerical damping of the undesirable high frequency modes associated to FEM semidiscretization, we have constructed a modification of the 2-order BDF method (the BDF2 method), which we have called BDF-α. This new method is second-order accurate and with a smaller local truncation error than the BDF2, it is unconditionally stable for some values of α and it permits a parametric control of numerical dissipation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e9f547560d87af39587ade56600103e5 https://doi.org/10.13189/ujcmj.2013.010305 Zobrazit plný text záznamu