R. Duffin’s scientific contributions

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Publications (2)

The Dirichlet problem for the vibrating string equation
  • Article

January 1939

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10 Reads

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132 Citations

D. G. Bourgin

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R. Duffin

Citations (1)

... It is not surprising that the results obtained numerically appear to be reasonable approximations of the smooth solution of the PDE and we also found mesh convergence in Section 4. In contrast, Example 2.7 is hyperbolic, which means that ill-posedness is responsible for the lack of mesh convergence and parasite solutions in this case. Interestingly, the hyperbolic case of the SDM with constant stress components is formally identical to the 1D wave equation, for which the root of ill-posedness has been studied in detail (Bourgin and Duffin, 1939). ...

Reference:

Structural form finding using the Stress Density Method: Well-posedness and convergence of numerical solutions
The Dirichlet problem for the vibrating string equation
  • Citing Article

  • January 1939

D. G. Bourgin

·

R. Duffin