Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1995-09-30
A Fully Discrete Galerkin Method for Integral and Pseudo differential Equations on Closed CurvesO. Kelle and Gennadi Vainikko (1) Tartu University, Estonia
(2) Tartu University, Estonia
We propose a cheep fully discrete version of the trigonometric Galerkin method of optimal accuracy order for integral and pseudodifferential equations on closed curves. A practical implementation of the method leads to a band system of linear algebraic equations. The error analysis is based on a thorough study of related integral operators in Sobolev spaces of periodic functions.
Keywords: Galerkin method, boundary integral equations
Kelle O., Vainikko Gennadi: A Fully Discrete Galerkin Method for Integral and Pseudo differential Equations on Closed Curves. Z. Anal. Anwend. 14 (1995), 593-622. doi: 10.4171/ZAA/641