Boundary Element Analysis of Nonlinear Heat Conduction Problem with Point, Line and Distributed Heat Sources Employing Analytical integrations

boundary element analysis of nonlinear heat conduction problem with point, line and distributed heat sources employing analytical integrations

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A Nonlinear Optimization Problem in Heat Conduction

In this paper we study the existence and geometric properties of an optimal configuration to a nonlinear optimization problem in heat conduction. The quantity to be minimized is R ∂D Γ(x, uμ)dσ, where D is a fixed domain. A nonconstant temperature distribution is prescribed on ∂D and a volume constraint on the set where the temperature is positive is imposed. Among other regularity properties o...

Boundary temperature reconstruction in an inverse heat conduction problem using boundary integral equation method

‎In this paper‎, ‎we consider an inverse boundary value problem for two-dimensional heat equation in an annular domain‎. ‎This problem consists of determining the temperature on the interior boundary curve from the Cauchy data (boundary temperature and heat flux) on the exterior boundary curve‎. ‎To this end‎, ‎the boundary integral equation method is used‎. ‎Since the resulting system of linea...

Heat Conduction in Multiply Adjoined Anisotropic Media with Embedded Point Heat Sources

In this article the direct domain-mapping technique is applied in the boundary element method (BEM) to investigate the heat conduction in composites consisting of multiple anisotropic media with embedded point heat sources. By use of a linear coordinate transformation, the physical domain is mapped to an auxiliary plane for 2D or space for 3D, where the heat conduction is considered isotropic. ...

A Distributed Algorithm for 1-d Nonlinear Heat Conduction with an Unknown Point Source