The Dirichlet and Neumann Problems for Elliptical Equations with Conjugation Conditions and High-Precision Algorithms of Their Discretization

  • Authors:

  • I. V. Sergienko;V. S. Deineka

  • Affiliations:

  • Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine;Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine

  • Venue:
  • Cybernetics and Systems Analysis
  • Year:
  • 2001

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Abstract

New Dirichlet and Neumann boundary-value problems for elliptic equations with conjugation conditions are considered and existence and uniqueness of their solutions are studied. High-precision discretization algorithms are constucted based on the classes of discontinuous admissible functions.