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Han de Bruijn

A little bit of Physics would be NO Idleness in Mathematics (HdB)

Original Theorems @ Science & Mathematics:

  • MultiGrid. This Numerical Method is never going to work for
    Hyperbolic Equations.
    I have proved it for the 1-D case. But 1-D is embedded in 3-D.
    So the result is valid for 3-D as well.
    Nevertheless, there is ongoing research on this topic, in vain.
  • MultiGrid. There exist only two flavours for grid refinement
    and grid coarsening: DoubleGrid and TripleGrid.
  • The distinction between Continuous and Discrete is only gradual,
    not essential:
  • Least Squares Finite Element Method.
    Can only be formulated properly as a Unification of
    Finite Elements and Finite Differences.
    Two applications: Ideal Flow in 2-D and 3-D.
    The concept of Dual Elements is important with L.S.FEM.
  • Unification of Finite Elements and Finite Differences for
    Convection and Diffusion can be accomplished via
    Resistor Networks in 2-D and 3-D.

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