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Publications Influence

The boundary-element method for the determination of a heat source dependent on one variable

This paper investigates the inverse problem of determining a heat source in the parabolic heat equation using the usual conditions of the direct problem and a supplementary condition, called an… Expand

192 8

The Cauchy problem for Laplace’s equation via the conjugate gradient method

A variational formulation of the Cauchy problem for the Laplace equation is studied. An efficient conjugate gradient method based on an optimal-order stopping criterion is presented together with its… Expand

150 8

A non-local boundary value problem method for the Cauchy problem for elliptic equations

Let H be a Hilbert space with norm || ||, A:D(A) ⊂ H → H a positive definite, self-adjoint operator with compact inverse on H, and T and given positive numbers. The ill-posed Cauchy problem for… Expand

56 7

An efficient method for computing eigenelements of Sturm-Liouville fourth-order boundary value problems

TLDR

30 6

Free convection boundary-layer flow along a vertical surface in a porous medium with Newtonian heating

Abstract In this paper the steady free convection boundary-layer flow along a vertical surface embedded in a porous medium with Newtonian heating is investigated. The mathematical problem reduces to… Expand

86 6

The Decomposition Approach to Inverse Heat Conduction

- D. Lesnic, L. Elliott
- Mathematics
- 1 April 1999

Adomian's decomposition approach is employed for solving some inverse boundary value problems in heat conduction. Further, the mollification method is applied to deal with noisy input data and obtain… Expand

84 5

The method of fundamental solutions for nonlinear functionally graded materials

In this paper, we investigate the application of the method of fundamental solutions (MFS) to two-dimensional steady-state heat conduction problems for both isotropic and anisotropic, single and… Expand

65 5

Determination of a spacewise dependent heat source

- T. Johansson, D. Lesnic
- Mathematics
- 1 December 2007

This paper investigates the inverse problem of determining a spacewise dependent heat source in the parabolic heat equation using the usual conditions of the direct problem and information from a… Expand

133 4

A survey of applications of the MFS to inverse problems

- A. Karageorghis, D. Lesnic, L. Marin
- Mathematics
- 1 April 2011

The method of fundamental solutions (MFS) is a relatively new method for the numerical solution of boundary value problems and initial/boundary value problems governed by certain partial differential… Expand

168 4

Application of the boundary element method to inverse heat conduction problems

- D. Lesnic, L. Elliott, D. Ingham
- Mathematics
- 1 May 1996

Abstract The solution of the one-dimensional, linear, inverse, unsteady heat conduction problem (IHCP) in a slab geometry is analysed. The initial temperature is known, together with a condition on… Expand

92 4

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