Several Galerkin schemes for approximate solution of linear elliptic boundary value problems are studied for such computational aspects as obtainable accuracy, sensitivity to parameters and conditioning of linear systems. Methods studied involve computing subspaces (e.g., splines) whose elements need not satisfy boundary conditions. A Poisson problem study… (More)

SERBIN, A Computational Investigation of Least Squares and Other Projection Methods for the Approximate Solution of Boundary Value Problems, Ph.D Thesis, Cornell University, Ithaca

M. S

N. Y.

1971

Highly Influential

6 Excerpts

SCHATZ, "Rayleigh-Ritz-Galerkin methods for Dirichlet's problem using subspaces without boundary conditions,

NITSCHE, "A generalized Ritz-least-squares method for Dirichlet problems,

J.A.J.H. BRAMBLE

SIAM J. Numer. Anal, v

1973

2 Excerpts

Effects of quadrative error in the finite element method,

FIX G

Proc. of the Second Japan- U.S. Symposium on…

1972

1 Excerpt

KELLOGG, "Higher order singularities for interface problems," 77ie Mathematical Foundations of the Finite Element Method With Applications to Partial Differential Equations, (A

B. R

1972

1 Excerpt

Numerical construction of the hill functions,

J. SEGETHOVÁ

SIAM J. Numer. Anal, V

1972

1 Excerpt

VARGA, "The effect of quadrature errors in the numerical solution of two-dimensional boundary value problems by variational techniques,

R.S.R.J. HERBOLD

Aequationes Math., v

1972

2 Excerpts

LARSEN, "On the convergence of SOR-iterations for finite element approximations to elliptic boundary value problems,

@inproceedings{Serbin2010ComputationalIO,
title={Computational Investigations of Least - Squares Type Methods for the Approximate Solution of Boundary Value Problems * By Steven},
author={Steven M. Serbin},
year={2010}
}