Acta Mechanica Sinica

, Volume 10, Issue 3, pp 227–236 | Cite as

The generalized (nonlinear) Poisson problem: A dual variational approach

  • Hans Bufler


A series of problems in mechanics and physics are governed by the ordinary Poisson equation which demands linearity, isotropy, and material homogeneity. In this paper a generalization with respect to nonliearity, anisotropy, and inhomogeneity is made. Starting from the canonical basic equations in the primal and dual formulation respectively we derive systematically the corresponding generalized variational principles; under certain conditions they can be extended to so calle complementary extremum principles allowing for global bounds. For simplicity a restriction to two dimensional problems is made, including twice-connected domains.

Key Words

Generalized Poisson problem dual and complementary variational priniples 


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Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1994

Authors and Affiliations

  • Hans Bufler
    • 1
  1. 1.Institute for MechanicsStuttgart UniversityStuttgartGermany

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