Stabilized Finite Elements and a Domain Decomposition Method for First-Order Transient Problems

In the third part, a novel domain decomposition method for first-order transient nonlinear problems is presented. To the author's knowledge the proposed method is the only known robust domain decomposition method for transient problems that enables arbitrary numeric schemes to be coupled with different time steps in each subdomain, which is a highly desirable feature in the multiscale and multiphysics simulations. One of the advantages of the method is that existing software and numerical techniques can be used to solve each subdomain separately. The proposed coupling method provides a powerful approach not only to solve large-scale problems very efficiently, but also to solve small-scale problems wherein multiple scales in the response demand the use of different schemes in different regions.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Civil and Environmental Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Nakshatrala, Kalyana Babu

Contributors dc:contributor

• Keith J. Hjelmstad

• Engineering, Civil

Language dc:language

eng

Identifier

(MiAaPQ)AAI3269989

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/83331