A dual-reciprocity boundary element method for a class of elliptic boundary value problems for non-homogeneous anisotropic media.

*(English)*Zbl 1130.74456Summary: A dual-reciprocity boundary element method is proposed for the numerical solution of a two-dimensional boundary value problem (BVP) governed by an elliptic partial differential equation with variable coefficients. The BVP under consideration has applications in a wide range of engineering problems of practical interest, such as in the calculation of antiplane stresses or temperature in non-homogeneous anisotropic media. The proposed numerical method is applied to solve specific test problems.

##### MSC:

74S15 | Boundary element methods applied to problems in solid mechanics |

74E05 | Inhomogeneity in solid mechanics |

74E10 | Anisotropy in solid mechanics |

##### Keywords:

Elliptic partial differential equation; anisotropic non-homogeneous media; boundary element method; dual-reciprocity method
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\textit{W.-T. Ang} et al., Eng. Anal. Bound. Elem. 27, No. 1, 49--55 (2003; Zbl 1130.74456)

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##### References:

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