A least squares method for solving biharmonic problems (Q2706375)

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A least squares method for solving biharmonic problems
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    19 March 2001
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    biharmonic equation
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    least squares method
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    finite element method
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    numerical examples
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    convergence
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    A least squares method for solving biharmonic problems (English)
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    This paper introduces a least squares technique for solving 2D biharmonic problems in \(H^1(S)\) with test and trial functions. The problem is designed with a solid mathematical foundation with a number of theorems which prove its optimal convergence. Finally, a number of experiments are illustrated for validation.
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