Isogeometric analysis for second order partial differential equations on surfaces

@inproceedings{Bartezzaghi2015IsogeometricAF,
  title={Isogeometric analysis for second order partial differential equations on surfaces},
  author={Andrea Bartezzaghi and Luca Ded{\`e} and Alfio Quarteroni},
  year={2015}
}
We consider the numerical solution of second order Partial Differential Equations (PDEs) on lower dimensional manifolds, specifically on surfaces in three dimensional spaces. For the spatial approximation, we consider Isogeometric Analysis which facilitates the encapsulation of the exact geometrical description of the manifold in the analysis when this is represented by B–splines or NURBS. Our analysis addresses linear, nonlinear, time dependent, and eigenvalues problems involving the Laplace… CONTINUE READING
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References

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SHOWING 1-10 OF 50 REFERENCES

Bakenov . T – splines and T – NURCCSs

  • J. M. Zhengs, M. J.
  • ACM Transactions on Graphics
  • 2012

Topology optimization with Isogeometric Analysis in a phase field approach

  • L. Dedè, M. J. Borden, T.J.R. Hughes
  • Archives in Computational Methods in Engineering…
  • 2012

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