Semi-Discrete and Fully Discrete Mixed Finite Element Methods for Maxwell Viscoelastic Model of Wave Propagation

作     者：Hao Yuan Xiaoping Xie 

作者机构：School of MathematicsSichuan UniversityChengduSichuan 610064China 

出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)

年 卷 期：2022年第14卷第2期

页      面：344-364页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported in part by National Natural Science Foundation of China(No.11771312) 

主　　题：Maxwell viscoelastic model mixedfinite element semi-discrete and fully discrete error estimate stability. 

摘      要：Semi-discrete and fully discrete mixedfinite element methods are consid-ered for Maxwell-model-based problems of wave propagation in linear viscoelastic *** mixedfinite element framework allows the use of a large class of exist-ing mixed conformingfinite elements for elasticity in the spatial *** the fully discrete scheme,a Crank-Nicolson scheme is adopted for the approximation of the temporal derivatives of stress and velocity *** estimates of the semi-discrete and fully discrete schemes,as well as an unconditional stability result for the fully discrete scheme,are *** experiments are provided to verify the theoretical results.