A matrix-free isogeometric Galerkin method for Karhunen–Loève approximation of random fields using tensor product splines, tensor contraction and interpolation based quadrature

Author:

Mika Michal L.ORCID,Hughes Thomas J.R.,Schillinger Dominik,Wriggers PeterORCID,Hiemstra René R.

Funder

National Science Foundation Directorate for Engineering

DFG

Publisher

Elsevier BV

Subject

Computer Science Applications,General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference70 articles.

1. Structural Reliability Analysis and Prediction,2017

2. Stochastic Finite Element Methods and Reliability: A State-of-the-Art Report;Sudret,2000

3. Computational aspects of the stochastic finite element method;Eiermann;Comput. Vis. Sci.,2007

4. A Review of Recent Developments in the Numerical Solution of Stochastic Partial Differential Equations (Stochastic Finite Elements);Keese,2003

5. Über lineare Methoden in der Wahrscheinlichkeitsrechnung;Karhunen,1947

Cited by 14 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Fast immersed boundary method based on weighted quadrature;Computer Methods in Applied Mechanics and Engineering;2023-12

2. Towards higher-order accurate mass lumping in explicit isogeometric analysis for structural dynamics;Computer Methods in Applied Mechanics and Engineering;2023-12

3. Karhunen-Loève expansion based on an analytical solution over a bounding box domain;Probabilistic Engineering Mechanics;2023-10

4. Operator-valued Gaussian processes and their covariance kernels;Infinite Dimensional Analysis, Quantum Probability and Related Topics;2023-08-30

5. Stochastic spectral cell method for structural dynamics and wave propagations;International Journal for Numerical Methods in Engineering;2023-07-16

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