Results 71 to 80 of about 2,181 (119)
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The convergence for nodal expansion method
Applied Mathematics-A Journal of Chinese Universities, 1993This paper is concerned with conditions for convergence of approximations using the nodal expansion method, a relatively new method for approximate solution of partial differential equations. The essence of the method, which is discussed in the context of a model linear elliptic equation (the Helmholtz equation), is that the domain is partitioned into ...
Huang, Aixiang, Zhang, Bo
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A parallel nodal method of second order
Future Generation Computer Systems, 1995Abstract A nodal method of the so-called analytical physical type, using partial currents as variables, is applied to the multigroup diffusion equations of nuclear reactor theory in two-dimensional rectangular geometry. To solve the associated criticity problem, the power method is used for the outer iteration, and the Gauss-Seidel iteration for ...
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Nuclear Science and Engineering, 2001
This paper demonstrates that the analytic nodal method (ANM) solution to two-group (2-G) diffusion equations can be formulated in the same way as the nodal expansion method (NEM) solution, and ther...
Hyun Chul Lee, Chang Hyo Kim
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This paper demonstrates that the analytic nodal method (ANM) solution to two-group (2-G) diffusion equations can be formulated in the same way as the nodal expansion method (NEM) solution, and ther...
Hyun Chul Lee, Chang Hyo Kim
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A development of the HEXNEM nodal expansion method
Annals of Nuclear Energy, 2013Abstract In this paper a development of the HEXNEM nodal expansion methods is presented, together with a program implementation and results from comparisons with benchmark problem solutions. The new development consists in the introduction of tangentially weighted exponential basis functions and continuity and boundary conditions for the tangential ...
Ivaylo Christoskov, Petko T. Petkov
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A nodal integral method for quadrilateral elements
International Journal for Numerical Methods in Fluids, 2008AbstractNodal integral methods (NIMs) have been developed and successfully used to numerically solve several problems in science and engineering. The fact that accurate solutions can be obtained on relatively coarse mesh sizes, makes NIMs a powerful numerical scheme to solve partial differential equations.
Nezami, Erfan G. +3 more
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The Finite Patch Method: a nodal equation method based on FEM
Advances in Engineering Software, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Variational Nodal Methods for Neutron Transport
Nuclear Science and Engineering, 1985Nodal diffusion and transport methods are formulated variationally in terms of the even-parity form of the neutron transport equation and applied to problems in X-Y geometry.
I. Dilber, E. E. Lewis
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On the development of finite nodal point methods
27th Structures, Structural Dynamics and Materials Conference, 1986A new method for the numerical solution of ordinary or partial differential equations over one or several dimensional domains, developed jointly at the Engineering College at Kansas State University and the University of Mississippi, is presented. This method has the advantages of being flexible, and well suited for many engineering problems in which ...
K. HU, S. SWARTZ, P. KIRMSER, S. WANG
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The analytic nodal method in cylindrical geometry
Nuclear Engineering and Design, 2008Abstract Nodal diffusion methods have been used extensively in nuclear reactor calculations, specifically for their performance advantage, but also for their superior accuracy. More specifically, the Analytic Nodal Method (ANM), utilising the transverse integration principle, has been applied to numerous reactor problems with much success.
Rian H. Prinsloo, Djordje I. Tomašević
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2017
For a truly meshfree technique, Galerkin meshfree methods rely chiefly on nodal integration of the weak form. In the case of Strong Form Collocation meshfree methods, direct collocation at the nodes can be employed. In this paper, performance of these node-based Galerkin and collocation meshfree methods is compared in terms of accuracy, efficiency, and
M. Hillman, J. S. Chen
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For a truly meshfree technique, Galerkin meshfree methods rely chiefly on nodal integration of the weak form. In the case of Strong Form Collocation meshfree methods, direct collocation at the nodes can be employed. In this paper, performance of these node-based Galerkin and collocation meshfree methods is compared in terms of accuracy, efficiency, and
M. Hillman, J. S. Chen
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