Journal ArticleDOI
On two-scale analysis of heterogeneous materials by means of the meshless finite difference method
Irena Jaworska,Sławomir Milewski +1 more
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This article is published in International Journal for Multiscale Computational Engineering.The article was published on 2016-01-01. It has received 10 citations till now. The article focuses on the topics: Regularized meshless method & Singular boundary method.read more
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A combined scheme of generalized finite difference method and Krylov deferred correction technique for highly accurate solution of transient heat conduction problems
TL;DR: Six numerical experiments show that the proposed hybrid KDC‐GFDM scheme allows big time step size for a long‐time dynamic simulation and has a great potential for the problems with complex boundaries.
Journal ArticleDOI
Topology optimization of steady-state heat conduction structures using meshless generalized finite difference method
TL;DR: In this article, the authors proposed the topology optimization for steady-state heat conduction structures by incorporating the meshless-based generalized finite difference method (GFDM) and the solid isotropic microstructures with penalization interpolation model.
Journal ArticleDOI
On the use of complex stretching coordinates in generalized finite difference method with applications in inhomogeneous visco-elasto dynamics
TL;DR: In this paper, an approach is proposed for the evaluation of complex derivatives directly in terms of complex stretching coordinates of points in PML. For doing this within the framework of generalized finite difference method (GFDM), a difference equation is formulated and presented, where both the function values and coordinates of data points might be complex.
Journal ArticleDOI
On the use of complex stretching coordinates in generalized finite difference method with applications in inhomogeneous visco-elasto dynamics
TL;DR: In this paper , an approach is proposed for the evaluation of complex derivatives directly in terms of complex stretching coordinates of points in PML. For doing this within the framework of generalized finite difference method (GFDM), a difference equation is formulated and presented, where both the function values and coordinates of data points might be complex.
Journal ArticleDOI
Generalization of the Multipoint meshless FDM application to the nonlinear analysis
TL;DR: In this article, a new Multipoint meshless finite difference method, following the original Collatz higher order multipoint concept and the essential ideas of the Meshless FDM, was formulated, developed and tested for various boundary value problems.