An adaptive element division algorithm for accurate evaluation of singular and near singular integrals in 3D

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2021

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Tubitak Scientific & Technological Research Council Turkey

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Software Engineering
(2005)
Department of Software Engineering was founded in 2005 as the first department in Ankara in Software Engineering. The recent developments in current technologies such as Artificial Intelligence, Machine Learning, Big Data, and Blockchains, have placed Software Engineering among the top professions of today, and the future. The academic and research activities in the department are pursued with qualified faculty at Undergraduate, Graduate and Doctorate Degree levels. Our University is one of the two universities offering a Doctorate-level program in this field. In addition to focusing on the basic phases of software (analysis, design, development, testing) and relevant methodologies in detail, our department offers education in various areas of expertise, such as Object-oriented Analysis and Design, Human-Computer Interaction, Software Quality Assurance, Software Requirement Engineering, Software Design and Architecture, Software Project Management, Software Testing and Model-Driven Software Development. The curriculum of our Department is catered to graduate individuals who are prepared to take part in any phase of software development of large-scale software in line with the requirements of the software sector. Department of Software Engineering is accredited by MÜDEK (Association for Evaluation and Accreditation of Engineering Programs) until September 30th, 2021, and has been granted the EUR-ACE label that is valid in Europe. This label provides our graduates with a vital head-start to be admitted to graduate-level programs, and into working environments in European Union countries. The Big Data and Cloud Computing Laboratory, as well as MobiLab where mobile applications are developed, SimLAB, the simulation laboratory for Medical Computing, and software education laboratories of the department are equipped with various software tools and hardware to enable our students to use state-of-the-art software technologies. Our graduates are employed in software and R&D companies (Technoparks), national/international institutions developing or utilizing software technologies (such as banks, healthcare institutions, the Information Technologies departments of private and public institutions, telecommunication companies, TÜİK, SPK, BDDK, EPDK, RK, or universities), and research institutions such TÜBİTAK.
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Manufacturing Engineering
(2003)
Opened in 2003 with the aim to graduate experts in the field of machine-production, our Department is among the firsts in our country to offer education in English. The Manufacturing Engineering program focuses on the manufacturing technologies that shape materials from raw materials to final products by means of analytical, experimental and numerical modeling methods. First Manufacturing Engineering Program to be engineered by Müdek, our department aims to graduate creative and innovative Manufacturing Engineers that are knowledgeable in the current technology, and are able to use production resources in an effective and sustainable way that never disregards environmental facts. As the first Department to implement the Cooperative Education Program at Atılım University in coordination with institutions from the industry, the Manufacturing Engineering offers a practice-oriented approach in education with its laboratory infrastructure and research opportunities. The curriculum at our department is supported by current engineering software, and catered to creating engineers equipped to meet the needs of the production industry.

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Abstract

An adaptive algorithm for evaluation of singular and near singular integrals in 3D is presented. The algorithm is based on successive adaptive/selective subdivisions of the element until a prescribed error criteria is met. For evaluating the integrals in each subdivision, Gauss quadrature is applied. The method is computationally simple, memory efficient and can be applied for both triangular and quadrilateral elements, including the elements with nonplanar and/or curved surfaces. To assess the method, several examples are discussed. It has shown that the algorithm performs well for singular and near-singular integral examples presented in the paper and evaluates the integrals with very high accuracy.

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Baranoglu, Besim/0000-0003-2005-050X
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Keywords

Near-singular integral, triangular elements, boundary element method, 3D

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0

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Q4

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Q3

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Volume

29

Issue

2

Start Page

1187

End Page

1206

URI

https://doi.org/10.3906/elk-1911-57
 https://hdl.handle.net/20.500.14411/1974

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