Benchmark computations of dynamic poroelasticity

Author:

Anselmann Mathias1,Bause Markus1ORCID,Margenberg Nils1,Shamko Pavel1

Affiliation:

1. Faculty of Mechanical and Civil Engineering, Helmut Schmidt University Hamburg Germany

Abstract

AbstractWe present benchmark computations of dynamic poroelasticity modeling fluid flow in deformable porous media by a coupled hyperbolic–parabolic system of partial differential equations. A challenging benchmark setting and goal quantities of physical interest for this problem are proposed. Computations performed by space–time finite element approximations with continuous and discontinuous discretizations of the time variable are summarized. By this work, we intend to stimulate comparative studies by other research groups for the evaluation of dynamic poroelasticity solver regarding the accuracy of discretization techniques, the efficiency and robustness of iterative methods for the linear systems, and the arrangement of the model equations in terms of their variables (two‐field or multifield formulations).

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Atomic and Molecular Physics, and Optics

Reference22 articles.

1. An energy‐efficient GMRES–multigrid solver for space‐time finite element computation of dynamic poro‐ and thermoelasticity;Anselmann M.;Computational Mechanics,2023

2. Convergence of a continuous Galerkin method for hyperbolic‐parabolic systems;Bause M.;Computers & Mathematics with Applications,2022

3. An efficient and stable finite element solver of higher order in space and time for nonstationary incompressible flow

4. Higher order Galerkin time discretizations and fast multigrid solvers for the heat equation

5. Variational Space–Time Methods for the Wave Equation

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3