Error analysis of H1 gradient method for topology optimization problems of continua

DOI10.14495/JSIAML.3.73zbMath1271.65103OpenAlexW2010515732MaRDI QIDQ2843189

Daisuke Murai, Hideyuki Azegami

Publication date: 9 August 2013

Published in: JSIAM Letters (Search for Journal in Brave)

Full work available at URL: https://www.jstage.jst.go.jp/A_PRedirectJournalInit?sryCd=jsiaml&kijiCd=3_0_73&screenID=AF06S010&noVol=3&noIssue=0

zbMATH Keywords

finite elementserror analysisboundary value problemcalculus of variationstopology optimizationH1 gradient methodfirst-order convergence

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

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Error analysis of the H1 gradient method for shape-optimization problems of continua

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