## A computational investigation of least squares and other projection methods for the approximate solution of boundary value problems |

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### Contents

The Least Squares Method | 12 |

Nitsches Method and Method | 34 |

Computational Tools | 46 |

10 other sections not shown

### Common terms and phrases

accuracy aoaaa applied approximate solution Babuska biharmonic bilinear form boundary value problem boundary weighting Bramble and Schatz Cholesky Cholesky decomposition condition number constant coefficient constant independent Cubic Splines define dimensional Dirichlet problem double precision dTTS elliptic equations error behavior error estimates error reductions experiments exponential data fourth order reductions Galerkin Galerkin method Green's formula heat equation hill functions independent of h indicate inner products integration King's method L-Shaped Domain Laplace operator least squares approximation least squares matrix least squares method Lemma matrix problems mesh point Method Kq Nitsche's method nonsymmetric NV3W obtain order problem Periodic Boundary Condition Poisson problem positive definite quadratic splines quintic splines results in Table roundoff S3NI1dS schemes second order section XI sensitivity with respect singularity Sobolev norms Sobolev space spaces H squares and Method subspace supremum symmetric theoretical theory treat VIII VWWV9 xxyy