Stabilized mixed finite element method for a quasistatic Maxwell viscoelastic model

被引：1

作者：

Min, Ya ^{[1
]}

Feng, Minfu ^{[1
]}

机构：

[1] Sichuan Univ, Coll Math, Chengdu 610065, Peoples R China

来源：

APPLIED NUMERICAL MATHEMATICS | 2023年 / 193卷

基金：

中国国家自然科学基金;

关键词：

Mixed finite method; Stabilized method; Maxwell viscoelastic model; Semi -discrete scheme; Fully discrete scheme; Error estimates; COMPUTATIONAL FLUID-DYNAMICS; STOKES PROBLEM; APPROXIMATION; FORMULATION; ELASTICITY; DIFFUSION;

D O I：

10.1016/j.apnum.2023.07.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers a stabilized mixed finite element method (MFE) for a quasistatic Maxwell viscoelastic model based on the L2(⠂) x H1(⠂) variational framework. The spatial discretization uses arbitrary degree piecewise polynomials Pl - Pk(l > 0, k > 1) to approximate stress and velocity. The temporal discretization in the fully discrete method adopts a backward Euler difference scheme. We give a unified analysis to show the stability of the semi-discrete and fully discrete solutions and derive the corresponding priori error estimates. Numerical examples are provided to support the theoretical analysis. & COPY; 2023 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：22 / 42

页数：21

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