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Finite Element Balance Method and Boundary Element Method

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Book cover Solving Direct and Inverse Heat Conduction Problems
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Abstract

In this chapter, the finite element balance method (FEBM) and boundary element method (BEM) are discussed in depth. Also examples are given to demonstrate how two-dimensional steady-state temperature distributions can be determined using FEBM and BEM. The obtained results are compared with the results from FEM calculations, which were carried out by means of the ANSYS program with a highly dense finite element mesh.

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Literature

  1. ANSYS (2000) User’s Manuals. Swanson Analysis Systems, Inc.

    Google Scholar 

  2. Brebbia CA, Dominguez J (1992) Boundary Elements: An Introductory Course. Computational Mechanics, Southampton

    MATH  Google Scholar 

  3. Brebbia CA, Telles JCF, Wrobel LC (1984) Boundary Element Techniques. Theory and Applications in Engineering. Springer, Berlin

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  4. Duda P, Taler J (2000) Numerical method for the solution of non-linear two-dimensional inverse heat conduction problem using unstructured meshes. International Journal for Numerical Methods in Engineering 48: 881–899

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  5. Evans G, Blackledge J, Yardley P (2000) Numerical Methods for Partial Differential Equations. Springer, London

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  6. Paris F, Cañas J (1997) Boundary Element Method, Fundamentals and Applications. Oxford University Press, Oxford

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  7. Riley KF, Hobson MP, Bence SJ (1998) Mathematical Methods for Physics and Engineering. Cambridge University Press, Cambridge

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  8. Taler J, Duda P (1999) A space marching method for multidimensional transient inverse heat conduction problems. Heat and Mass Transfer 34: 349–356

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© 2006 Springer-Verlag Berlin Heidelberg

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(2006). Finite Element Balance Method and Boundary Element Method. In: Solving Direct and Inverse Heat Conduction Problems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-33471-2_12

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  • DOI: https://doi.org/10.1007/978-3-540-33471-2_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-33470-5

  • Online ISBN: 978-3-540-33471-2

  • eBook Packages: EngineeringEngineering (R0)

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