Exact integration of surface and volume potentials


Carley, M. and Angioni, S., 2017. Exact integration of surface and volume potentials. Journal of Engineering Mathematics, 104 (1), pp. 93-106.

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    A method for exact analytical integration of potentials from sources distributed on planar and volume elements is presented. The method is based on reduction of the surface integrals to a function similar to an incomplete elliptic integral, giving the integrals in closed form as functions of geometric properties of the surface or volume element. Explicit formulae and recursions are given for the integrals, allowing the evaluation of the potential for arbitrary polynomial sources. Volume integrals are derived from the surface integrals using a simple coordinate transformation which gives the volume integral with little more effort than that required for the surface calculation.


    Item Type Articles
    CreatorsCarley, M.and Angioni, S.
    Uncontrolled Keywordslaplace equation; potential theory; boundary element method; integral equations; quadrature; elliptic integrals
    DepartmentsFaculty of Engineering & Design > Mechanical Engineering
    Research CentresAerospace Engineering Research Centre
    ID Code52309


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