Multiwavelets for Second-kind Integral Equations

نویسندگان

  • TOBIAS VON PETERSDORFF
  • REINHOLD SCHNEIDER
چکیده

Abstract. We consider a Galerkin method for an elliptic pseudodifferential operator of order zero on a two-dimensional manifold. We use piecewise linear discontinuous trial functions on a triangular mesh and describe an orthonormal wavelet basis. Using this basis we can compress the stiffness matrix from N to O(N logN) nonzero entries and still obtain (up to logN terms) the same convergence rates as for the exact Galerkin method.

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تاریخ انتشار 1997