A localized boundary element method for the floating body problem

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The classic floating body problem is considered which is a linear Robin-Neumann boundary value problem in an infinite strip. Existence, uniqueness and regularity of solutions are discussed. Based on the investigation of related exterior problems, coupling operators are introduced to formulate localized boundary integral equations. Then stability and convergence for Galerkin discretizations are shown. Finally, numerical examples illustrate the results.
Original languageEnglish
JournalIMA Journal of Numerical Analysis
Issue number4
Pages (from-to)799-816
Number of pages18
Publication statusPublished - 01.10.2001
Externally publishedYes

    Research areas

  • Mathematics
  • boundary element method, convergence, existence, hypersingular operator, mixed boundary value problem, oscillating rigid body