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- Persephoni Karaolani, Geoffrey D. Sullivan, Keith D. Baker, M. J. Baines
- Alvey Vision Conference
- 1989

Deformable models of elastic structures have been proposed for use in image analysis. Previous work has used a variational approach, based on the Euler-Lagrange theory. In this paper an alternative mathematical treatment is introduced, based on a direct minimisation of the underlying energy integral using the Finite Element Method. The method is outlined… (More)

- M E Hubbard, M J Baines, P K Jimack
- 2008

We consider the imposition of Dirichlet boundary conditions in the finite element modelling of moving boundary problems in one and two dimensions for which the total mass is prescribed. A modification of the standard linear finite element test space allows the boundary conditions to be imposed strongly whilst simultaneously conserving a discrete mass. The… (More)

- M A Preece, M J Baines
- Annals of human biology
- 1978

A new family of mathematical functions to fit longitudinal growth data is described. All members derive from the differential equation dh/dt = s(t). (h1-h) where h1 is adult size and s(t) is a function of time. The form of s(t) is given by one of many functions, all solutions of differential equations, thus generating a family of different models. Three… (More)

- Yves Tourigny, M. J. Baines
- Math. Comput.
- 1997

This paper discusses the problem of constructing a locally optimal mesh for the best L 2 approximation of a given function by discontinuous piecewise polynomials. In the one-dimensional case, it is shown that, under certain assumptions on the approximated function, Baines' algorithm [M. for piecewise linear or piece-wise constant polynomials produces a mesh… (More)

- M. J. Baines
- 2004

A scale-invariant moving finite element method is proposed for the adaptive solution of nonlinear partial differential equations. The mesh movement is based on a finite element discretisation of a scale-invariant conservation principle incorporating a monitor function, while the time discretisation of the resulting system of ordinary differential equations… (More)

- R J Dunlop, J E Ellershaw, M J Baines, N Sykes, C M Saunders
- Journal of medical ethics
- 1995

Patients who are dying of cancer usually give up eating and then stop drinking. This raises ethical dilemmas about providing nutritional support and fluid replacement. The decision-making process should be based on a knowledge of the risks and benefits of giving or withholding treatments. There is no clear evidence that increased nutritional support or… (More)

- M. J. Baines
- 2008

A distributed Lagrangian moving-mesh finite element method is applied to problems involving changes of phase. The algorithm uses a distributed conservation principle to determine nodal mesh velocities, which are then used to move the nodes. The nodal values are obtained from an ALE (Arbitrary Lagrangian-Eulerian) equation, which represents a gener-alisation… (More)

- T. E. Lee, M. J. Baines, Stephen Langdon
- J. Computational Applied Mathematics
- 2015

- K.-H. Sun, M. J. Baines, N. Hall-Taylor
- 2003

A numerical study of fluid mechanics and heat transfer in a scraped surface heat exchanger with non-Newtonian power law fluids is undertaken. Numerical results are generated for 2D steady-state conditions using finite element methods. The effect of blade design and material properties, and especially the independent effects of shear thinning and heat… (More)

- M Baines, D J Oliver, R L Carter
- Lancet
- 1985

A clinical and pathological study was made of 40 patients with intestinal obstruction due to far-advanced abdominal and/or pelvic malignant disease. Surgical intervention was feasible in only 2 cases. The remaining 38 patients were managed medically without intravenous fluids and nasogastric suction. Obstructive symptoms such as intestinal colic, vomiting,… (More)