An Adaptive Finite Element Method for the Laplace-Beltrami Operator on Implicitly Defined Surfaces

نویسندگان

  • Alan Demlow
  • Gerhard Dziuk
چکیده

We present an adaptive finite element method for approximating solutions to the Laplace-Beltrami equation on surfaces in R3 which may be implicitly represented as level sets of smooth functions. Residual-type a posteriori error bounds which show that the error may be split into a “residual part” and a “geometric part” are established. In addition, implementation issues are discussed and several computational examples are given.

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عنوان ژورنال:
  • SIAM J. Numerical Analysis

دوره 45  شماره 

صفحات  -

تاریخ انتشار 2007