Convergence of an adaptive modified WG method for second-order elliptic problem-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Convergence of an adaptive modified WG method for second-order elliptic problem

Published:2021-11-18 Issue: Volume: Page:
ISSN:1017-1398
Container-title:Numerical Algorithms
language:en
Short-container-title:Numer Algor

Author:

Xie Yingying,Zhong Liuqiang^ORCID,Zeng Yuping

Funder

National Natural Science Foundation of China

Guangdong Basic and Applied Basic Research Foundation

Characteristic Innovation Projects of Guangdong Colleges and Universities, China

General Project topic of Science and Technology in Guangzhou, China

Applied Basic Research Foundation of Yunnan Province

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s11075-021-01209-3.pdf

Reference41 articles.

1. Al-Taweel, A., Hussain, S., Wang, X., Jones, B.: A P0-P0 weak Galerkin finite element method for solving singularly perturbed reaction–diffusion problems. Numer. Methods Partial Differential Equations 36(2), 213–227 (2020)

2. Binev, P., Dahmen, W., DeVore, R.A.: Adaptive finite element methods with convergence rates. Numer. Math. 97(2), 219–268 (2004)

3. Bonito, A., Nochetto, R.H.: Quasi-optimal convergence rate of an adaptive discontinuous Galerkin method. SIAM J. Numer. Anal. 48(2), 734–771 (2010)

4. Cascon, J.M., Kreuzer, C., Nochetto, R.H., Siebert, K.G.: Quasi-optimal convergence rate for an adaptive finite element method. SIAM J. Numer. Anal. 46(5), 2524–2550 (2008)

5. Chen, L., Wang, J.P., Ye, X.: A posteriori error estimates for weak Galerkin finite element methods for second order elliptic problems. J. Sci. Comput. 59(2), 496–511 (2014)

Cited by 4 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. A posteriori error estimate of a weak Galerkin finite element method for solving linear elasticity problems;Computers & Mathematics with Applications;2024-11

2. Convergence of adaptive two-grid weak Galerkin finite element methods for semilinear elliptic differential equations;Communications in Nonlinear Science and Numerical Simulation;2024-03

3. A posteriori error estimate for a modified weak Galerkin method of 2D (curl) elliptic problems;Computers & Mathematics with Applications;2023-07

4. Convergence and optimality of an adaptive modified weak Galerkin finite element method;Numerical Methods for Partial Differential Equations;2023-04-04

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