Approximation of Nonlinear Parabolic Equations Using a Family of Conformal and Non-conformal Schemes

نویسندگان

  • Robert Eymard
  • Karol Mikula
  • K. MIKULA
چکیده

We consider a family of space discretisations for the approximation of nonlinear parabolic equations, such as the regularised mean curvature flow level set equation, using semi-implicit or fully implicit time schemes. The approximate solution provided by such a scheme is shown to converge thanks to compactness and monotony arguments. Numerical examples show the accuracy of the method.

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تاریخ انتشار 2010