Sparse BEM for Potential Theory and Stokes Flow using Variable Order Wavelets 1

  title={Sparse BEM for Potential Theory and Stokes Flow using Variable Order Wavelets 1},
  author={Johannes Tausch},
Waveletsfor the discretizationof boundaryintegral operators usuallyhavefixedorder and are constructedin someparameterspaceof the surface. Here a new approach is presented, where the order is flexible and no parameterizationsare needed.The waveletsare restrictions of piecewisepolynomial functionsin three variableson the boundarymanifold. This constructionis especiallysuitedfor surfaceswith complicatedgeometries.If thepolynomial order is suitablyadjustedto the level of the wavelet,then the non… CONTINUE READING

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