Transient heat conduction by different versions of the Method of Fundamental Solutions - a comparison study. (Received in the final form September 14, 2010)
Journal Title: Computer Assisted Methods in Engineering and Science - Year 2010, Vol 17, Issue 1
Abstract
The computational accuracy of three versions of the method of fundamental solutions (MFS) is compared. The first version of MFS is based on the Laplace transformation of the governing differential equations and of the boundary conditions. The second version of MFS is based on the fundamental solution of the governing differential equation and discretization in time. The third method approximates the temperature time derivative by finite difference scheme. As the test problems the 2D boundary-initial-value problems (2D_BIVP) in square rectangular region Ω with known exact solutions are considered. Our numerical experiments show that all discussed methods achieve relatively accurate approximate solution but the third one offers less computational complexity and better efficiency.
Authors and Affiliations
Jan A. Kołodziej, Magdalena Mierzwiczak
Keywords
Related Articles
- EP ID EP74064
- DOI -
- Views 157
- Downloads 0
Recent developments in stabilized Galerkin and collocation meshfree methods
Meshfree methods have been developed based on Galerkin type weak formulation and strong formulation with collocation. Galerkin type formulation in conjunction with the compactly supported approximation functions and poly...
Scatter assessment of rotating system vibrations due to uncertain residual unbalances and bearing properties
The main objective of the presented study is an evaluation of the effectiveness of various methods for estimating statistics of rotor-shaft vibration responses. The computational effectiveness as well as the accuracy of...
The efficiency of the application of the heap lists to the algorithm of mesh generation
The paper presents an analysis of the efficiency of the application of heap lists data structures to the 2D triangular mesh generation algorithms. Such efficiency is especially important for the frontal methods for which...
Delamination identification using machine learning methods and haar wavelets
The present paper focuses on the identification of delamination size and location in homogeneous and composite laminates. The modal analysis methods are employed to calculate the data patterns. An aggregated approach com...
Probabilistic multiscale analysis of inelastic localized failure in solid mechanics
In this work, we discuss the role of probability in providing the most appropriate multiscale based uncertainty quantification for the inelastic nonlinear response of heterogeneous materials undergoing localized failure....