We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A priori error estimates of two monolithic schemes for Biot's consolidation model.
- Authors
Gu, Huipeng; Cai, Mingchao; Li, Jingzhi; Ju, Guoliang
- Abstract
This paper concentrates on a priori error estimates of two monolithic schemes for Biot's consolidation model based on the three‐field formulation introduced by Oyarzúa et al. (SIAM J Numer Anal, 2016). The spatial discretizations are based on the Taylor–Hood finite elements combined with Lagrange elements for the three primary variables. We employ two different schemes to discretize the time domain. One uses the backward Euler method, and the other applies the combination of the backward Euler and Crank‐Nicolson methods. A priori error estimates show that both schemes are unconditionally convergent with optimal error orders. Detailed numerical experiments are presented to validate the theoretical analysis.
- Subjects
EULER method; CRANK-nicolson method; A priori
- Publication
Numerical Methods for Partial Differential Equations, 2024, Vol 40, Issue 1, p1
- ISSN
0749-159X
- Publication type
Article
- DOI
10.1002/num.23059