#### Articolele autorului Alexandru RapLink la profilul stiintific al lui Alexandru Rap

##### An inverse source problem for the convection-diffusion equation

Purpose - To develop a numerical technique for solving the inverse source problem associated with the constant coefficients convection-diffusion equation. Design/methodology/approach - The proposed numerical technique is based on the boundary element method (BEM) combined with an iterative sequential quadratic programming (SQP) procedure. The governing convection-diffusion equation is transformed into a Helmholtz equation and the ill-conditioned

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##### Inverse contaminant fluid flow problems using boundary element methods

The purpose of this thesis is to develop some necessary techniques to solve inverse contaminant fluid flow problems related with water pollution. In general the water pollution phenomenon is mathematically modelled by the convection-diffusion equation and, in particular, the water pollution source identification problem leads to the need to solve ill-posed inverse problems related with this equation. Recently, inverse problems have become more and

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##### The Cauchy problem for the steady-state convection-diffusion equation using a regularised DRBEM

In this paper we develop a numerical technique based on the Dual Reciprocity Boundary Element Method (DRBEM) combined with the Tikhonov regularisation method in order to solve the Cauchy problem associated to the steady-state convection-diffusion equation with variable coefficients. The choice of the regularisation parameter is based on the discrepancy principle method.

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##### The Cauchy Problem for the Steady-State Convection-Diffusion Equation using BEM

In this paper, a numerical technique based on the BEM combined with the Tikhonov regularisation method is developed in order to solve the Cauchy problem associated to the steady-state convection-diffusion equation. The governing convection-diffusion equation is transformed into a Helmholtz or modified Helmholtz equation. The choice of the regularisation parameter is based on the discrepancy principle method

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##### DRBEM for Cauchy convection-diffusion problems with variable coefficients

In this study we present a numerical technique based on the Dual Reciprocity Boundary Element Method (DRBEM) combined with the Tikhonov regularisation method, or with the Truncated Singular Value Decomposition (TSVD) method, in order to solve the Cauchy problem associated with the steady-state convection-diffusion equation with variable coefficients. This is an interesting problem from the practical point of view as it can be used to model certain

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