An implicit family of time marching procedures with adaptive dissipation control

作     者：Soares, Delfim 

作者机构：Univ Fed Juiz de Fora Dept Struct Engn BR-36036330 Juiz De Fora MG Brazil 

出 版 物：《APPLIED MATHEMATICAL MODELLING》 (应用数学模型)

年 卷 期：2016年第40卷第4期

页      面：3325-3341页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：CNPq (Conselho Nacional de Desenvolvimento Cientifico e Tecnologico) FAPEMIG (Fundacao de Amparo a Pesquisa do Estado de Minas Gerais) 

主　　题：Time integration methods Dissipation control High frequency behavior Stability Accuracy Dynamics 

摘      要：In this work, an unconditionally stable family of time marching procedures is proposed, in which the time integration parameters of the method are locally computed, considering the properties of the model. Thus, the technique adapts to the characteristics of the problem, enabling enhanced analyses. Here, adaptive dissipation control is explored, allowing spurious modes to be more effectively dissipated. The proposed technique is second-order accurate, L stable, truly self-starting and very easy to implement. Numerical results are presented along the paper, illustrating the good performance of the novel single-step technique. (C) 2015 Elsevier Inc. All rights reserved.