Analysis of finite element methods for dynamic poroelasticity: Low frequency waves

被引：0

作者：

Lee, Jeonghun J. ^{[1
]}

机构：

[1] Baylor Univ, Dept Math, Sid Richardson Sci Bldg,One Bear,Pl 97328, Waco, TX 76798 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2023年 / 419卷

关键词：

Poroelasticity; Finite element method; Error analysis; BIOTS CONSOLIDATION MODEL; DISCONTINUOUS GALERKIN; ELASTICITY ELEMENT; LINEAR ELASTICITY; MIXED METHODS; POROUS-MEDIA; PROPAGATION; BEHAVIOR; APPROXIMATIONS; CONVERGENCE;

D O I：

10.1016/j.cam.2022.114717

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a finite element discretization of low-frequency dynamic poroelasticity models and carry out the a priori error analysis. In contrast to the widely used quasi-static poroelasticity models, the dynamic models are hyperbolic partial differential equations with acceleration terms of solid and fluid phases. We reformulate the problem to a symmetric hyperbolic system and discretize it with two mixed finite element methods. The error analysis semidiscrete solutions are discussed in detail and numerical results of the backward Euler fully discrete scheme are presented. (C) 2022 Elsevier B.V. All rights reserved.

引用

页数：12

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