Multi-Dimensional Quadrature of Singular and Discontinuous Functions

@article{Tornberg2002MultiDimensionalQO,
  title={Multi-Dimensional Quadrature of Singular and Discontinuous Functions},
  author={Anna-Karin Tornberg},
  journal={BIT Numerical Mathematics},
  year={2002},
  volume={42},
  pages={644-669}
}
In many simulations of physical phenomena, discontinuous material coefficients and singular forces pose severe challenges for the numerical methods. The singularity of the problem can be reduced by using a numerical method based on a weak form of the equations. Such a method, combined with an interface tracking method to track the interfaces to which the discontinuities and singularities are confined, will require numerical quadrature with singular or discontinuous integrands. We introduce a… CONTINUE READING

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