Solving nonlinear direct and inverse problems of stationary heat transfer by using Trefftz functions
The paper presents a new approximate method of solving nonlinear direct and inverse heat
conduction problems. A nonlinear differential operator is resolved into a linear and nonlinear …
conduction problems. A nonlinear differential operator is resolved into a linear and nonlinear …
Direct and inverse heat transfer in non-contacting face seals
S Blasiak, A Pawinska - International Journal of Heat and Mass Transfer, 2015 - Elsevier
The subject of this paper was to develop a mathematical model of a non-contacting face seal
describing the phenomenon of the heat transfer in the system: sealing rings–fluid film. The …
describing the phenomenon of the heat transfer in the system: sealing rings–fluid film. The …
Application of the homotopy perturbation method for the solution of inverse heat conduction problem
This paper deals with an application of the homotopy perturbation method for the solution of
inverse heat conduction problem. This problem consists in the calculation of temperature …
inverse heat conduction problem. This problem consists in the calculation of temperature …
Trefftz functions for the non-stationary problems
K Grysa, B Maciejewska - Journal of Theoretical and Applied Mechanics, 2013 - ptmts.org.pl
Different types of Trefftz functions for non-stationary linear and weakly nonlinear differential
equations are presented. The Trefftz methods are defined and briefly described. Certain …
equations are presented. The Trefftz methods are defined and briefly described. Certain …
Solution of the direct and inverse problems for beam
A Maciag, A Pawinska - Computational and Applied Mathematics, 2016 - Springer
The article presents an approximate method of solving direct and inverse problems
described by Bernoulli–Euler inhomogeneous equation of vibrations of a beam. A …
described by Bernoulli–Euler inhomogeneous equation of vibrations of a beam. A …
Trefftz Method of Solving a 1D Coupled Thermoelasticity Problem for One-and Two-Layered Media
This paper discusses a 1D one-dimensional mathematical model for the thermoelasticity
problem in a two-layer plate. Basic equations in dimensionless form contain both …
problem in a two-layer plate. Basic equations in dimensionless form contain both …
Trefftz functions applied to direct and inverse non-Fourier heat conduction problems
The paper presents a new approximate method of solving non-Fourier heat conduction
problems. The approach described here is suitable for solving both direct and inverse …
problems. The approach described here is suitable for solving both direct and inverse …
[PDF][PDF] Inverse heat conduction problems
K Grysa - Heat Conduction: Basic Research, 2011 - researchgate.net
In the heat conduction problems if the heat flux and/or temperature histories at the surface of
a solid body are known as functions of time, then the temperature distribution can be found …
a solid body are known as functions of time, then the temperature distribution can be found …
Solving direct and inverse problems of plate vibration by using the Trefftz functions
A Maciąg, A Pawińska - Journal of Theoretical and Applied Mechanics, 2013 - infona.pl
The paper presents an approximate method of solving direct and inverse problems which
are described by a non-homogenous plate vibration equation. The key idea of the presented …
are described by a non-homogenous plate vibration equation. The key idea of the presented …
Identifying heat source intensity in treatment of cancerous tumor using therapy based on local hyperthermia–The Trefftz method approachs
The presented study considers the equation of hyperbolic conduction of heat with perfusion
in order to identify such intensity of spatial heat source that will lead to hyperthermia of a …
in order to identify such intensity of spatial heat source that will lead to hyperthermia of a …