Research

Exact integration of surface and volume potentials


Reference:

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

Related documents:

[img]
Preview
PDF (jem15-revision-ii) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (320kB) | Preview

    Official URL:

    http://dx.doi.org/10.1007/s10665-016-9875-5

    Abstract

    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.

    Details

    Item Type Articles
    CreatorsCarley, M.and Angioni, S.
    DOI10.1007/s10665-016-9875-5
    Uncontrolled Keywordslaplace equation; potential theory; boundary element method; integral equations; quadrature; elliptic integrals
    DepartmentsFaculty of Engineering & Design > Mechanical Engineering
    Research CentresAerospace Engineering Research Centre
    RefereedYes
    StatusPublished
    ID Code52309

    Export

    Actions (login required)

    View Item

    Document Downloads

    More statistics for this item...