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Orthogonal spline collocation methods for biharmonic problems

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Abstract.

Orthogonal spline collocation methods are formulated and analyzed for the solution of certain biharmonic problems in the unit square. Particular attention is given to the Dirichlet biharmonic problem which is solved using capacitance matrix techniques.

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Authors and Affiliations

  1. Structural Dynamics Research Corporation, 2000 Eastman Drive, Milford, OH 45150, USA , , , , , , US

    Zhou-Ming Lou

  2. Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, CO 80401-1887, USA , , , , , , US

    Bernard Bialecki & Graeme Fairweather

Authors
  1. Zhou-Ming Lou
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  2. Bernard Bialecki
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  3. Graeme Fairweather
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Received November 11, 1996

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Lou, ZM., Bialecki, B. & Fairweather, G. Orthogonal spline collocation methods for biharmonic problems. Numer. Math. 80, 267–303 (1998). https://doi.org/10.1007/s002110050368

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  • DOI: https://doi.org/10.1007/s002110050368

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