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边界元法在各向异性电磁问题求解中的应用。

Application of the boundary element method to the solution of anisotropic electromagnetic problems.

作者信息

Zhou H, van Oosterom A

机构信息

Laboratory of Medical Physics and Biophysics, University of Nijimegen, The Netherlands.

出版信息

Med Biol Eng Comput. 1994 Jul;32(4):399-405. doi: 10.1007/BF02524691.

Abstract

The paper discusses the application of the boundary element method to the computation of the electric potential and magnetic field generated by bioelectric sources in an anisotropic inhomogeneous volume conductor, using a proper coordinate transformation. It is shown that the co-ordinate transformation generally not only affects the conductivity and geometry of the volume conductor under consideration, but also the current source term and the continuity relation on the interfaces bounding regions of different conductivity. To illustrate these results, the electric potentials in an anisotropic finite length cylinder and in an anisotropic volume conductor of irregular (torso) shape, computed by the boundary element method, are compared with the results obtained by the analytical solution and the finite element method, respectively.

摘要

本文讨论了边界元法在计算各向异性非均匀体积导体中生物电源产生的电势和磁场时的应用,采用了适当的坐标变换。结果表明,坐标变换通常不仅会影响所考虑的体积导体的电导率和几何形状,还会影响电流源项以及不同电导率区域边界上的连续性关系。为了说明这些结果,将通过边界元法计算得到的各向异性有限长圆柱体和不规则(躯干)形状的各向异性体积导体中的电势,分别与解析解和有限元法得到的结果进行了比较。

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