Technical papers produced at Brunel University from 1971-2001 http://bura.brunel.ac.uk/handle/2438/1622 2013-05-23T17:36:35Z 2013-05-23T17:36:35Z Levin, D http://bura.brunel.ac.uk/handle/2438/2702 2008-10-06T09:02:44Z 1980-01-01T00:00:00Z

Title: Near-best approximations to some problems in applied mathematics Authors: Levin, D Abstract: Expansion approximations are considered for the solution of Fredholm integral equations of the second kind, of two-point boundary value problems and of harmonic mixed boundary value problems. In each of these three cases the relation between the expansion approximations and the approximation of a certain integral is investigated. This relation leads to definitions of pointwise and of global "near-best" approxima- tions whose errors are given in terms of the error functional of a "best" quadrature formula.

1980-01-01T00:00:00Z Papamichael, N Soares, M J Stylianopoulos, N S http://bura.brunel.ac.uk/handle/2438/2640 2008-09-10T01:06:20Z 1991-01-01T00:00:00Z

Title: A numerical method for the computation of faber polynomials for starlike domains Authors: Papamichael, N; Soares, M J; Stylianopoulos, N S Abstract: We describe a simple numerical process (based on the Theodorsen method for conformal mapping ) for computing approximations to Faber polynomials for starlike domains.

1991-01-01T00:00:00Z Crank, J Gupta, R http://bura.brunel.ac.uk/handle/2438/2602 2012-02-03T10:50:39Z 1970-12-31T23:00:00Z

Title: A moving boundary problem arising from the diffusion of oxygen in absorbing tissue Authors: Crank, J; Gupta, R Abstract: Approximate analytical and numerical solutions of a partial differential equation are obtained which describe the diffusion of oxygen in an absorbing medium. Essential mathematical difficulties are associated with the presence of a moving boundary which marks the furthest penetration of oxygen into the medium and also with the need to allow for an initial distribution of oxygen through the medium.

1970-12-31T23:00:00Z Barnhill, RE Brown, JH Gregory, JA Mitchell, AR http://bura.brunel.ac.uk/handle/2438/2601 2012-01-13T10:41:06Z 1981-01-01T00:00:00Z

Title: Exact and approximate boundary data interpolation in the finite element method Authors: Barnhill, RE; Brown, JH; Gregory, JA; Mitchell, AR Abstract: Matching boundary data exactly in an elliptic problem avoids one of Strang's "variational crimes". (Strang and Fix (1973)). Supporting numerical evidence for this procedure is given by Marshall and Mitchell (1973), who considered the solution of Laplace's equation with Dirichlet boundary data by bilinear elements over squares and measured the errors in the L2 norm. Then Marshall and Mitchell (1978) obtained some surprising results: for certain triangular elements, matching the boundary data exactly produced worse results than the usual procedure of interpolating the boundary data.

1981-01-01T00:00:00Z