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Preparation of CAD and Molecular Surfaces for Meshfree Solvers

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 65))

Abstract

Raw CAD and molecular data need to be prepared before they can be used in meshfree numerical solvers. After quickly summarizing the different steps required for that processing, we will focus on the practical realization of global continuity. In particular, we will examine error bounds about chord length approximation in which two procedures can yield errors: sample interpolation, length estimation. We will report eventually on some practical results where the initial data are acquired from IGES files for CAD models and from PDB files for molecular ones.

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References

  1. G. Brunnett, Geometric Design with Trimmed Surfaces, Computing Supplementum 10 (1995), 101–115.

    Google Scholar 

  2. W. Dahmen, A. Kunoth, and K. Urban, Biorthogonal Spline Wavelets on the Interval: Stability and Moment Conditions, Appl. Comput. Harmon. Anal. 6, No. 2 (1999), 132–196.

    Article  MATH  MathSciNet  Google Scholar 

  3. C. de Boor, A Practical Guide to Splines, Springer, New York, 1978.

    MATH  Google Scholar 

  4. M. Griebel, S. Knapek, and G. Zumbusch, Numerical Simulation in Molecular Dynamics, Springer, Berlin, 2007.

    MATH  Google Scholar 

  5. H. Harbrecht and M. Randrianarivony, From Computer Aided Design till Wavelet BEM, Berichtsreihe des mathematischen Seminars, Preprint 07-18, University Kiel, October 2007.

    Google Scholar 

  6. A. Kunoth, Adaptive Wavelet Schemes for an Elliptic Control Problem with Dirichlet Boundary Control, Number. Algor. 39 (1–3) (2005), 199–220.

    Article  MATH  MathSciNet  Google Scholar 

  7. C. Lee and S. Lo, A New Scheme for the Generation of a Graded Quadrilateral Mesh, Comput. Struct. 52 (5) (1994), 847–857.

    Article  MATH  MathSciNet  Google Scholar 

  8. S. Owen, M. Staten, S. Canann, and S. Saigal, Q-Morph: An Indirect Approach to Advancing Front Quad Meshing, Int. J. Numer. Methods Eng. 44 (9) (1999), 1317–1340.

    Article  MATH  Google Scholar 

  9. M. Randrianarivony, Geometric Processing of CAD Data and Meshes as Input of Integral Equation Solvers, Ph.D. thesis, Technische Universität Chemnitz, 2006.

    Google Scholar 

  10. M. Randrianarivony and G. Brunnett, Molecular Surface Decomposition Using Graphical Modeling, Bildverarbeitung für die Medizine (T. Tolxdorff and J. Braun, eds.), Informatik aktuell, Springer, 2008, pp. 197–201.

    Google Scholar 

  11. R. Schneider, Multiskalen-und Wavelet-Matrixkompression: Analysisbasierte Methoden zur Lösung grosser vollbesetzter Gleichungssysteme, Teubner, Stuttgart, 1998.

    MATH  Google Scholar 

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Randrianarivony, M., Brunnett, G. (2008). Preparation of CAD and Molecular Surfaces for Meshfree Solvers. In: Griebel, M., Schweitzer, M.A. (eds) Meshfree Methods for Partial Differential Equations IV. Lecture Notes in Computational Science and Engineering, vol 65. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79994-8_14

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