Exploiting symmetry in boundary element methods

@article{Allgower1992ExploitingSI,
  title={Exploiting symmetry in boundary element methods},
  author={Eugene L. Allgower and Klaus B{\"o}hmer and Kurt Georg and Rick Miranda},
  journal={SIAM Journal on Numerical Analysis},
  year={1992},
  volume={29},
  pages={534-552}
}
Linear operator equations $\mathcal {L}f = g$ are considered in the context of boundary element methods, where the operator $\mathcal {L}$ is equivariant, i.e., commutes with the actions of a given finite symmetry group. By introducing a generalization of Reynolds projectors, a decomposition of the identity operator is constructed, which in turn allows the decomposition of the problem $\mathcal {L}f = g$ into a finite number of symmetric subproblems. The data function g does not need to possess… 

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