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      Isogeometric and NURBS-enhanced boundary element formulations for steady-state heat conduction with volumetric heat source and nonlinear boundary conditions

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      Author(s)
      Gümüş, Özgür Can
      Baranoğlu, B.
      Çetin, Barbaros
      Date
      2022-12
      Source Title
      Engineering Analysis with Boundary Elements
      Print ISSN
      0955-7997
      Electronic ISSN
      1873-197X
      Publisher
      Elsevier
      Volume
      145
      Pages
      229 - 309
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      Boundary Element Method (BEM) is a numerical tool that is applied to many different types of engineering problems. BEM possesses several advantages over other numerical methods such as boundary-only discretization and its semi-analytical nature. Application of Isogeometric Analysis (IGA) to BEM is a recently proposed computational method where the main purpose is to use geometrical basis functions as the shape functions of field variables. Key features of combining these two techniques are the exact representation of the geometry, elimination or suppression of the meshing procedure, reduction of the problem dimension and obtaining highly accurate results especially for the flux values on the boundaries compared to conventional BEM. In this study, steady-state heat conduction problems with nonlinear boundary condition and surface heat source are analyzed where geometries are formed by NURBS, and field variables are described with Lagrangian (constant and quadratic) basis functions and NURBS basis functions. Convergence rates and CPU time of different types of element representations are discussed which eventually reveals the performance and capabilities of IGABEM.
      Keywords
      BEM
      Heat conduction
      Isogeometric
      Nonlinear boundary condition
      NURBS
      Permalink
      http://hdl.handle.net/11693/111559
      Published Version (Please cite this version)
      https://doi.org/10.1016/j.enganabound.2022.09.021
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      • Department of Mechanical Engineering 369
      • Institute of Materials Science and Nanotechnology (UNAM) 2256
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