Development of a benchmark problem and a general optimisation package with Powell's method to develop the benchmark

Hoole, S. Ratnajeevan H.; Udawalpola, Rajitha; Wijesinghe, K.R.C.

doi:10.1016/j.jmatprotec.2006.03.058

Cited by 3 publications

(2 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To illustrate these ideas we use in class the same bench mark design problem that is used to test commercial optimization programs . Figures and describe the problem at the initial design.…”

Section: The Test Problem For Teaching Real Designmentioning

confidence: 99%

“…Highly competitively selected undergraduates whether at Harvey Mudd College [11][12][13], or, later when the same was taught, at The National University of Singapore [14] or University of Peradeniya (Sri Lanka) [15][16][17][18][19][20][21][22], had no difficulties with the depth of the course and in many cases co-authored high quality journal articles based on course assignments.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Flip‐teaching engineering optimization, electromagnetic product design, and nondestructive evaluation in a semester's course

Hoole

Sivasuthan

Karthik

et al. 2014

Comp Applic In Engineering

View full text Add to dashboard Cite

Teaching practical design to students requires first a numerical course such as on finite elements and then a course on optimization. However, because of curricular constraints, it is very difficult to get students to take two courses. This paper describes a new semester's course at Michigan State University that accomplishes this through flip teaching to tackle the challenges of time. It is the flip teaching that made it possible to cover two large courses as one. The traditional order of (a) delivering theory (b) programming ancillary tools (mesh generators, solvers), and (c) programming and solving design problems, is flipped. Pre‐constructed meshes described by design parameters and ancillary programs (solvers, mesh generators, and equipotential plotters) are given to students. They familiarize themselves with these at home so that class discussion is focused on the tough concepts inherent to finite element optimization. Further to manage time, students do the massive homework in teams of two and in the last 3 weeks, each student master's one optimization method working closely with the instructor in face‐to‐face sessions. Flip teaching was praised by all students. The final assignment with a realistic design problem (using a method specific to each student) involved a seminar where students presented their results and taught their specific method to the others. A survey proved the learning accomplished. © 2014 Wiley Periodicals, Inc. Comput Appl Eng Educ 23:374–382, 2015; View this article online at http://wileyonlinelibrary.com/journal/cae; DOI http://10.1002/cae.21607

show abstract

Section: The Test Problem For Teaching Real Designmentioning

confidence: 99%

mentioning

confidence: 99%

Flip‐teaching engineering optimization, electromagnetic product design, and nondestructive evaluation in a semester's course

Hoole

Sivasuthan

Karthik

et al. 2014

Comp Applic In Engineering

View full text Add to dashboard Cite

show abstract

Electromagnetic field computation: The beginnings and current directions in optimization

Hoole

2009

2009 International Conference on Industrial and Information Systems (ICIIS)

View full text Add to dashboard Cite

Finite elements, design optimization, and nondestructive evaluation: A review in magnetics, and future directions in GPU-based, element-by-element coupled optimization and NDE

Jayakumar¹,

Thyagarajan²,

Rahunanthan

et al. 2015

International Journal of Applied Electromagnetics and Mechanics

Self Cite

View full text Add to dashboard Cite

Most important journal papers in magnetics are selected from conference records with quick review and subject to stringent page limits. The literature as a result is unsatisfactory, inadequately attributing previous works and without sufficient details to replicate work presented. This paper therefore reviews mathematical optimization in synthesis and nondestructive evaluation (NDE) by the finite element method in magnetics. The review identifies the earliest papers. Thereafter this paper proposes and establishes the feasibility of coupled problem optimization using the genetic algorithm to avoid mesh induced minima which hurt gradient based methods. The genetic algorithm, while avoiding the need for derivatives, results in having to undertake even more numerous finite element solutions. Although the genetic algorithm has been applied in optimization, in coupled systems the number of object function evaluations doubles. We there examine the use of graphics processing units (GPUs) to handle the immense computational load. GPUs have recently been introduced in finite element analysis but their memory limits are often not recognized and are critically limiting when parallelizing the several solutions required in optimization. To overcome this limit, element-by-element finite element matrix processing is employed, making coupled problems practicable on GPUs. We overcome the memory limits faced by others.

show abstract

Development of a benchmark problem and a general optimisation package with Powell's method to develop the benchmark

Cited by 3 publications

References 6 publications

Flip‐teaching engineering optimization, electromagnetic product design, and nondestructive evaluation in a semester's course

Flip‐teaching engineering optimization, electromagnetic product design, and nondestructive evaluation in a semester's course

Electromagnetic field computation: The beginnings and current directions in optimization

Finite elements, design optimization, and nondestructive evaluation: A review in magnetics, and future directions in GPU-based, element-by-element coupled optimization and NDE

Contact Info

Product

Resources

About