Non-Singular Method of Fundamental Solutions for Two-dimensional Thermoelasticity
نویسندگان
چکیده
منابع مشابه
A method of fundamental solutions for two-dimensional heat conduction
Note: The following files were submitted by the author for peer review, but cannot be converted to PDF. You must view these files (e.g. movies) online. (Received) We investigate an application of the method of fundamental solutions (MFS) to heat conduction in two-dimensional bodies, where the thermal diffusivity is piecewise constant. We extend the MFS proposed in [15] for one-dimensional heat ...
متن کاملMethod of Fundamental Solutions: Singular Value Decomposition Analysis
The method of fundamental solutions (also known as the singularity or the source method) is a useful technique for solving linear partial di erential equations such as the Laplace or the Helmholtz equation. The procedure involves only boundary collocation or boundary tting and hence is a very fast procedure for the solution of these classes of problems. The resulting coe cient matrix, is howeve...
متن کاملThe method of fundamental solutions for three-dimensional elastostatics problems
We consider the application of the method of fundamental solutions to isotropic elastostatics problems in three space dimensions. The displacements are approximated by linear combinations of the fundamental solutions of the Cauchy–Navier equations of elasticity, which are expressed in terms of sources placed outside the domain of the problem under consideration. The final positions of the sourc...
متن کاملThe localized method of approximated particular solutions for near-singular two- and three-dimensional problems
In this paper, the localized method of approximate particular solutions (LMAPS) using radial basis functions (RBFs) has been simplified and applied to near-singular elliptic problems in twoand three-dimensional spaces. The leave-one-out cross validation (LOOCV) is used in LMAPS to search for a good shape parameter of multiquadric RBF. The main advantage of the method is that a small number of n...
متن کاملAn Invariant Method of Fundamental Solutions for the Cauchy Problem in Two-Dimensional Isotropic Linear Elasticity
In this paper, we propose a numerical algorithm based on the method of fundamental solutions (MFS) for the Cauchy problem in two-dimensional linear elasticity. Through the use of the double-layer potential function, we give the invariance property for a problem with two different descriptions. In order to adapt this invariance property, we give an invariant MFS to satisfy this invariance proper...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2016
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/745/3/032027