한국정밀공학회지 (Journal of the Korean Society for Precision Engineering)
- 제15권5호
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- Pages.120-127
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- 1998
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- 1225-9071(pISSN)
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- 2287-8769(eISSN)
장애물 접촉문제에서의 지역 A Posteriori 오차계산
Local A Posteriori Error Estimates for Obstacle Contact Problems
초록
Differential inequalities occurring in problems of obstacle contact problems are recast into variational inequalities and analyzed by finite element methods. A new a posteriori error estimator, which is essential in adaptive finite element method, is introduced to capture the errors in finite element approximations of these variational inequalities. In order to construct a posteriori error estimates, saddle point problems are introduced using Lagrange parameters and upper bounds are provided. The global upper bound is localized by a special mixed formulation, which leads to upper bounds of the element errors. A numerical experiment is performed on an obstacle contact problem to check the effectivity index both in a local and a global sense.
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