1,721,046 research outputs found
An Efficient Hybrid Algorithm for the Optimisation of Problems with several Local Minima
No full textA Second-Order Cell Method for Poisson's Equation
Full text linkThe Cell Method, similar to the Finite Integration Technique, is a well-established numerical method for the solution
of field problems, however an often raised criticism is that it is limited to constant fields within elements. In this paper
we show that for the case of Poisson’s equation the Cell Method can be extended to the second order convergence.
Numerical results showing the order of convergence of the method are presented
"A 2D finite element procedure for magnetic analysis involving non-linear and hysteretic materials"
No full textComparison of conditions v=0 and a-n=0 on conductor boundaries in ajv-a-h' formulations
No full textIn a previous paper the authors proposed a Coulomb gauge A,V-A-psi formulation for quasi-static transient eddy current problems using V=0, instead of A . n=0, as guage condition on the conductor boundary. Further numerical experimentation using either V=0 or A . n=0 on different parts of the conductor boundary, however, has shown that, rather unexpectedly, J . n=0 is numerically more weakly enforced where V=0 is used. Hence, in spite of some advantages of V=0, A . n=0 still seems to be a better choice, after all. A theoretical explanation for this unexpected drawback of V=0 has been found and is presented here in detail
Gradient-Informed Weighted Sum Multi-Objective Topology Optimization in Electromagnetics
No full textGradient-Informed Pareto-Based Multi-Objective Binary Topology Optimization
Full text linkMulti-objective topology optimization (TO) problems frequently arise in practical engineering applications, necessitating the identification of Pareto-optimal solutions. This article introduces a gradientin-formed Pareto-based multi-objective TO algorithm with binary decision variables, called GPBTO, tailored to constrained bi-objective optimization problems (CBOPs), a common scenario in engineering design. By leveraging a binary decision space and incorporating a linearization step for objectives and constraints, the method enables the use of efficient integer linear programming (ILP) techniques for evolving the decision vector. Unlike traditional weighted sum (WS) approaches, which are widely used in TO despite their known limitations, GPBTO provides an alternative that integrates gradient-based formulations while facilitating the identification of Pareto-optimal solutions. While WS remains a dominant method in TO, GPBTO represents a promising alternative for cases where Pareto-based..
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