[PDF] Top 20 A modified regularization method for an inverse heat conduction problem with only boundary value

... The inverse heat conduction problem (IHCP) arises from many physical and engineer- ing ...the problem is severely ill posed in the Hadamard sense that the solution (if it exists) does ... See full document

... an inverse Sturm-Liouville problem requires a mathematical process to determine unknown function in the Sturm-Liouville operator from given data in addition to the boundary ...The method we ... See full document

... inverse heat conduction problem with moving ...the method is developed for the cases with complex moving boundary ...the method can be used to treat any cases with unknown ... See full document

... where A is a general differential operator, B is a boundary operator, f (r) is a known analytic function and Γ is the boundary of the domain Ω. The operator A can be generally divided into two parts L and ... See full document

... given heat source, or the heterogeneous conductivity equation ∇ · (κ(x)∇T ) = 0, one would have to use a more general purpose method such asthe multiple reciprocity [21] or the dual reciprocity BEMs ... See full document

... this problem, then use a modified regularization method to deal with it and derive the convergence estimate under an a-priori assumption for the exact solution in Section ... See full document

... Kansa’s method is a technique based on direct collocation ...the boundary element method formulation such as the dual reciprocity method DRM [11], the method of fundamen- tal solution ... See full document

... a heat transfer problem whose outcomes are difficult to ...Tikhonov’s regularization method (Qiao et ...serialization method, Blackwell’s time-marching algorithm method, Weber’s ... See full document

... least-squares method will be modified by the addition of reg- ularization terms that impose additional restrictions on admissible ...decomposition method has been ... See full document

... time-dependent boundary heat flux applied on a solid bar using the conjugate gradient method with adjoint equation and the zeroth-order Tikhonov regularization to stabilize the inverse ... See full document

... proposed method is a numerical method that can estimate unknown heat flux boundary condition sequentially without the sensitivity ...element method combined with the concept of future ... See full document

... Inverse heat conduction problems IHCP have become an interesting subject recently, and many regularization methods have been developed for the analysis of IHCP ...Tikhonov method 1, 2, ... See full document

... the boundary in the case of two-dimensional linear isotropic thermoelastic materials from over-prescribed noisy measurements taken on the remaining accessible boundary ...This inverse problem ... See full document

... wavelet method has become a powerful method for solving partial differential equa- tions ...the method has been applied to direct problems as well as to various types of inverse problems such ... See full document

... axisymmetric inverse problem for the heat equation inside the cylinder a ≤ r ≤ ...This problem is ...direct problem. Then the inverse problem is reduced to a Volterra ... See full document

... meshless method based on the MFS for the three-dimensional inverse heat conduction ...of boundary value problems associated with the anisotropic heat conduc- tion equation ... See full document

... an inverse initial value problem for the fractional diffusion equation with discrete ...This problem is ill-posed in the sense of ...trigonometric method in a nonparametric regression ... See full document

... nonlinear inverse heat conduction problem in solidification process is ...interfacial heat transfer coefficients during squeeze casting of commercial aluminum alloy (Al- ...unknown ... See full document

... famous problem and has been considered by many authors by different methods ...the method of integral equation to reg- ularize backward heat conduction problem and get some error ...this ... See full document

... real heat loading in the surface layer of the workpiece material in grinding largely depends on the reliability of basic principles of distribution of heat sources and the character of the temperature field ... See full document