A WEIGHTED LEAST-SQUARES FINITE ELEMENT METHOD FOR BIOT'S CONSOLIDATION PROBLEM

被引：0

作者：

Lee, Hsueh-Chen ^{[1
]}

Lee, Hyesuk ^{[2
]}

机构：

[1] Wenzao Ursuline Univ Languages, Ctr Gen Educ, 900 Mintsu 1st Rd, Kaohsiung, Taiwan

[2] Clemson Univ, Sch Math & Stat Sci, Clemson, SC 29634 USA

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2022年 / 19卷 / 2-3期

关键词：

Weighted least-squares finite element method; Biot's consolidation model; STRESS-DISPLACEMENT FORMULATION; POROELASTICITY; MODEL;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper examines a weighted least-squares method for a poroelastic structure governed by Biot's consolidation model. Quasi-static model equations are converted to a first-order system of four-field, and the least-squares functional is defined for the time discretized system. We consider two different sets of weights for the functional and show its coercivity and continuity properties, from which an a priori error estimate for the primal variables is derived. Numerical experiments are provided to illustrate the performance of the proposed method.

引用

页码：386 / 403

页数：18

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