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Modified duality scheme for solving model crack problem in mechanics

우경수|Robert V. Namm
대한수학회 (The Korean Mathematical Society)|2017.03|대한수학회보 (Bulletin of the KMS)|제54권 제2호|pp. 647-654

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키워드

crack problemduality methodmodified lagrangian functional
주제분류수학

초록

Duality methods based on modified Lagrangian functional for solving a model crack problem is considered. Without additional assumptions of regularity of the solution of an initial problem duality ratio is established for initial and dual problem.

Abstract

Duality methods based on modified Lagrangian functional for solving a model crack problem is considered. Without additional assumptions of regularity of the solution of an initial problem duality ratio is established for initial and dual problem.

참고문헌 (8)

  1. I. Ekeland, "Convex Analysis and Variational Problems" (1976), North-Holland
  2. S. Fuˇcik, "Nonlinear Differential Equations" (1988), Mir
  3. A. M. Khludnev, "Elasticity problems in non-smooth domains" (2010), Fizmatlit
  4. N. Kikuchi, "Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods" (1988), SIAM
  5. W. Maclean, "Strongly Elliptic Systems and Boundary Integrals Equations" (2000), University Press
  6. R. V. Namm, "Modified Lagrangian functional for solving the Sig-norini problem with friction, Advances in Mechanics Research", pp.435~446 (2011), Nova Science Publishers
  7. Robert V. Namm, "LAGRANGE MULTIPLIER METHOD FOR SOLVING VARIATIONAL INEQUALITY IN MECHANICS", 대한수학회지, 52(6), pp.1195~1207 (2015), 대한수학회
  8. E. M. Vikhtenko, "Sensitivity Functionals in Contact Problems of Elasticity Theory", Comput. Math. Math. Phys, 54(7), pp.1190~1200 (2014)

관련 논문AI추천

Modified Lagrange functional for solving elastic problem with a crack in continuum mechanics우경수, Georgiy Tsoy, Robert V. Namm대한수학회 · 대한수학회논문집2019 · 제34권 제4호LAGRANGE MULTIPLIER METHOD FOR SOLVING VARIATIONAL INEQUALITY IN MECHANICS우경수, Robert V. Namm대한수학회 · 대한수학회지2015 · 제52권 제6호Solution of semicoercive Signorini problem based on a duality scheme with modified Lagrangian functional이수철, Gyungsoo Woo, Robert V. Namm, Shu-Sen Xie대한수학회 · 대한수학회지2012 · 제49권 제4호Dynamic behavior of cracked beams and shallow arches손수덕, 하준홍, Semion Gutman대한수학회 · 대한수학회지2022 · 제59권 제5호WEAK SOLUTIONS OF THE ASYMMETRIC ELASTICITYCraciun장전수학회 · Advanced Studies in Contemporary Mathematics2009 · 제19권 제2호Singular and Dual Singular Functions for Partial Differential Equation with an Input Function in $H^1(\Omega)$김석찬, 우경수영남수학회 · East Asian Mathematical Journal2022 · 제38권 제5호

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