• Mathematics
  • Published 1989

Adaptive multilevel discretization in time and space for parabolic partial differential equations.

@inproceedings{Bornemann1989AdaptiveMD,
  title={Adaptive multilevel discretization in time and space for parabolic partial differential equations.},
  author={Folkmar Bornemann},
  year={1989}
}
The present paper developes an adaptive multilevel approach for parabolic PDE's - as a first step, for one linear scalar equation. Full adaptivity of the algorithm is conceptually realized by simultaneous multilevel discretization in both time and space. Thus the approach combines multilevel time discretization, better known as extrapolation methods, and multilevel finite element space discretization such as the hierarchical basis method. The algorithmic approach is theoretically backed by… CONTINUE READING

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