Date of Award

5-2025

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematical Sciences

Committee Chair/Advisor

Dr. Leo Rebholz

Committee Member

Dr. Vincent Ervin

Committee Member

Dr. Timo Heister

Committee Member

Dr. Fei Xue

Abstract

This work studies two techniques utilized to solve the Bingham equations that model viscoplastic flow. An Uzawa-type iterative procedure is first analyzed and tested for poor convergence of velocity and stress. We apply Anderson acceleration (AA) to this method and show improved convergence rates for both velocity and stress. A solver utilizing regularization is introduced, and AA is also applied to display better convergence results. We propose a new method that combines these two solvers and applies Anderson acceleration.

Author ORCID Identifier

0009-0007-0678-460X

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