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Discretization of Semicoercive Variational Inequalities

  • Joachim Gwinner
Conference paper

Abstract

In this contribution we report on recent progress towards approximation and discretization theory for semicoercive variational inequalities. We discuss a broad range of applications: approximation and stability results for finite dimensional semidefinite quadratic optimization problems, convergence results for finite element discretizations and for boundary element discretizations of steady-state unilateral problems in mathematical physics, approximation results for elliptic control problems.

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References

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    J. Gwinner, Discretization of semicoerive variational inequalities. Aequationes Math. 42 (1991) 72–79.CrossRefGoogle Scholar
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    J. Gwinner, Finite element convergence for contact problems in plane linear elastostatics, Quarterly of Applied Math. 50 (1992) 11–25.Google Scholar
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    J. Gwinner and E.P. Stephan, A boundary element procedure for contact problems in plane linear elastostatics, to appear in Mathematical Modelling and Numerical Analysis.Google Scholar
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    J. Gwinner, A discretization theory for monotone semzcoercive problems and finite element convergence for p-harmonic Signorini problems, to appear in ZAMM.Google Scholar
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    J. Gwinner, On stability for semicoercive variational inequalities applied to constrained market equilibria and Neumann-Signorini problems (submitted).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Joachim Gwinner
    • 1
  1. 1.Institut für Angewandte MathematikUniversität Erlangen-NürnbergErlangenGermany

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