Fast solvers of integral and pseudodifferential equations on closed curves

نویسندگان

  • Jukka Saranen
  • Gennadi Vainikko
چکیده

On the basis of a fully discrete trigonometric Galerkin method and two grid iterations we propose solvers for integral and pseudodifferential equations on closed curves which solve the problem with an optimal convergence order ‖uN − u‖λ ≤ cλ,μNλ−μ‖u‖μ, λ ≤ μ (Sobolev norms of periodic functions) in O(N log N) arithmetical operations.

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عنوان ژورنال:
  • Math. Comput.

دوره 67  شماره 

صفحات  -

تاریخ انتشار 1998