Welcome to the homepage of Maharavo Randrianarivony.


RESEARCH INTEREST:

I am interested in Numerical Modeling and Simulation. Some important points are:
  1. Higher order Finite Element Method (FEM).
  2. A-posteriori estimates and adaptive error control of PDE (Partial Differential Equation).
  3. Geometric modeling and nonuniform rational B-splines for hypersurfaces.
  4. Mesh processing on manifold/solid/assembly: generation, parametrization, refinement, smoothing.
  5. Boundary Element Method (BEM) for singular integral equations on compact manifolds.
  6. Multi-wavelets on geometric manifolds and matrix compression.
  7. Scientific visualization, Computer Aided Design (CAD) and applications.
CV (Resume).


PUBLICATIONS:

NEW:

  1. Finite Element Polynomial Inverse Estimates and Elastostatic Higher Order Estimator.
    Author: M. Randrianarivony
    Preprint (PDF).
  2. Adaptive Mesh for Elasticity under Traction Boundary Condition using Higher Order FEM.
    Author: M. Randrianarivony
    Preprint (PDF).
  3. On a Multilevel Parallel Solver for Higher Order FEM on Elliptic Systems.
    Author: M. Randrianarivony
    Preprint (PDF).

OLD:

  1. From Computer Aided Design to Wavelet Boundary Element Method.
    Authors: H. Harbrecht and M. Randrianarivony
    Journal of Computing and Visualization in Science, Volume 13, Number 2,
    Pages 69-82, Year 2010.
    Preprint (PDF).
  2. On Global Continuity of Coons Mappings in Patching CAD Surfaces.
    Author: M. Randrianarivony
    Computer Aided Design, Volume 41,
    Pages 782-791, Year 2009.
    Preprint (PDF).
  3. Adaptive Discontinuous Galerkin B-Spline on Parametric Geometries.
    Author: M. Randrianarivony
    Lecture Notes in Computer Science, Volume 6785,
    Pages 59-74, Year 2011.
    Preprint (PDF)
  4. On Transfinite Interpolations with Respect to Convex Domains.
    Author: M. Randrianarivony
    Computer Aided Geometric Design, Volume 28, Number 2,
    Pages 135-149, Year 2011.
    Preprint (PDF).
  5. Domain Decomposition for Wavelet Single Layer on Geometries with Patches.
    Author: M. Randrianarivony
    Applied Mathematics, Volume 7, Number 15,
    Pages 1798-1823, Year 2016.
    Preprint (PDF).
  6. Parallel Processing of Analytical Poisson-Boltzmann Using
    Higher Order Finite Element Method.
    Author: M. Randrianarivony
    ACTA Press, Volume 455434
    Pages 1-6, Year 2013.
    Preprint (PDF).
  7. On Space Enrichment Estimator for Nonlinear Poisson-Boltzmann.
    Author: M. Randrianarivony
    American Institute of Physics, Volume 1558,
    Pages 2365-2369, Year 2013.
    Preprint (PDF) ,
  8. On DFT Molecular Simulation for Non-Adaptive Kernel Approximation.
    Author: M. Randrianarivony
    Advances in Material Physics and Chemistry, Volume 4,
    Pages 105-115, Year 2014.
    Preprint (PDF) ,
  9. Wavelet Boundary Element Method on Molecular Surfaces:
    Solvent Excluded Surfaces.
    Authors: H. Harbrecht and M. Randrianarivony
    Computing, Volume 92, Number 4,
    Pages 335-364, Year 2011.
    Preprint (PDF)
  10. Quasi-Optimal Local Refinements for Isogeometric Analysis in Two and Three Dimensions.
    Author: M. Randrianarivony
    LOGOS Verlag, ISBN: 978-3-8325-2435-7,
    Pages 1-75, Year 2010.
    Preprint (PDF)
  11. Arc Length of Rational Bezier Curves and Use for CAD Reparametrization.
    Author: M. Randrianarivony
    Fifth International Conference on Computational Geometry,ISSN: 2070-3740
    Venice, Italy, Pages 173-178, Year 2008.
    Preprint (PDF)
  12. Cavity Generation of Connolly Surfaces for Subsequent Patchwise
    Chemical Polarizable Continuum Model Simulation.
    Author: M. Randrianarivony
    INS Preprint 1001, Institute for Numerical Simulation
    Pages 1-31, Year 2010.
    Preprint (PDF)
  13. A Finite Element Study on the Effect of Curvature on the Reinforcement of
    Matrices by Randomly Distributed and Curved Nanotubes.
    Authors: C. Diedrich, D. Dijkstra, J. Hamaekers, B. Henninger and M. Randrianarivony
    Journal of Computational and Theoretical Nanoscience, Volume 12,
    Pages 2108-2116, Year 2015.
    Preprint (PDF)
  14. Molecular Dynamics for Two-Body Potential from Unobserved Gaussian Regression.
    Author: M. Randrianarivony
    Journal of Materials Science Research, Volume 3, Number 4,
    Pages 38-52, Year 2014.
    Preprint (PDF)
  15. Software Pertaining to the Preparation of CAD Data from IGES Interface
    for Mesh-Free and Mesh-Based Numerical Solvers.
    Author: M. Randrianarivony
    Chemnitz archive MONARCH, Number 0026-2007, Year 2007.
    Preprint (PDF)
  16. Harmonic Variation of Edge Size in Meshing CAD Geometries from IGES Format.
    Author: M. Randrianarivony
    Lecture Notes in Computer Science, Volume 5102,
    Pages 56-65, Year 2008.
    Preprint (PDF)
  17. Multilevel B-Spline Repulsive Energy in Nanomodeling of Graphenes.
    Author: M. Randrianarivony
    Journal of Surface Engineered Materials and Advanced Technology, Volume 4,
    Pages 75-86, Year 2014.
    Preprint (PDF)
  18. A Multiresolution Method for Detecting Higher Order Discontinuities
    from Irregular Noisy Samples.
    Authors: M. Randrianarivony and G. Brunnett
    Conference on curve and surface fitting, Saint-Malo, France,
    Nashboro Press, Pages 333-342, Year 2003.
    Preprint (PDF)
  19. Preparation of CAD and Molecular Surfaces for Meshfree Solvers.
    Authors: M. Randrianarivony and G. Brunnett
    Lecture Notes in Computational Science and Engineering, Volume 65,
    Pages 231-245, Year 2008.
    Preprint (PDF)
  20. Wavelet Formulation of the Polarizable Continuum Model.
    Authors: V. Weijo, M. Randrianarivony, H. Harbrecht and L. Frediani
    Journal of Computational Chemistry, Volume 31, Number 7,
    Pages 1469-1477, Year 2010.
    Preprint (PDF)
  21. Quadrilateral Decomposition by Two-Ear Property Resulting in CAD Segmentation.
    Author: M. Randrianarivony
    Fifth International Conference on Computational Geometry, Venice, Italy,
    ISSN: 2070-3740, Pages 179-185, Year 2008.
    Preprint (PDF)
  22. Multiwavelet Boundary Element Method for Cavities Admitting Many NURBS Patches.
    Author: M. Randrianarivony
    Modeling and Numerical Simulation, Volume 6, Number 4,
    Pages 69-93, Year 2016.
    Preprint (PDF)
  23. Analytical Polarizable Continuum Model for Wavelets on NURBS Patches.
    Author: M. Randrianarivony
    Applied Mathematics, Volume 8, Number 8,
    Pages 1045-1073, Year 2017.
    Preprint (PDF)
  24. B-Spline Wavelet Integral Tensorization on NURBS Manifolds.
    Author: M. Randrianarivony
    In preparation
    Preprint (PDF)
  25. Stability of the Discretizations of the Stokes Problem on Anisotropic Meshes.
    Authors: T. Apel and M. Randrianarivony
    Mathematics and Computers in Simulation, Volume 61, Numbers 3-6,
    Pages 437-447, Year 2003.
    Preprint (PDF)
  26. Error Estimator Using Higher Order Finite Element Method for an Interface Problem.
    Author: M. Randrianarivony
    Applied Mathematics, Volume 8, Number 12,
    Pages 1769-1794, Year 2017.
    Preprint (PDF)
  27. Generating Well Behaved Meshes for Parameterized Surfaces.
    Authors: M. Randrianarivony and G. Brunnett
    IEEE Computer Society, Volume PR01985
    Pages 56-61, Year 2003.
    Preprint (PDF)
  28. Treatment of General Domains in Two Space Dimensions in a Partition of Unity Method.
    Authors: M. A. Schweitzer and M. Randrianarivony
    Lecture Notes in Computational Science and Engineering, Volume 79,
    Pages 27-49, Year 2011.
    Preprint (PDF)
  29. Geometric Processing of CAD Data and Meshes as Input of Integral Equation Solvers.
    Author: M. Randrianarivony.
    Ph.D. thesis (supervised by Prof. G. Brunnett),
    Faculty of Computer Science, Technical University of Chemnitz, Germany, Year 2006.
    Preprint (PDF)
  30. Stability of Mixed Finite Element Method with Anisotropic Mesh.
    Author: M. Randrianarivony.
    Master's thesis (supervisor by Prof. T. Apel),
    Faculty of Mathematics, Technical University of Chemnitz, Germany, Year 2001.
    Preprint (PDF).
  31. Molecular Surface Decomposition Using Graphical Modeling.
    Authors: M. Randrianarivony and G. Brunnett.
    Conference Bildverarbeitung für die Medizin, Berlin, Germany
    ISSN: 1431-472-X, Springer Verlag,
    Pages 197-201, Year 2008.
    Preprint (PDF)
  32. On the Generation of Hierarchical Meshes for Multilevel FEM and
    BEM Solvers from CAD Data.
    Author: M. Randrianarivony
    18th International conference on the Application of Computer Science and
    Mathematics in Architecture and civil Engineering,
    Weimar, Germany, ISSN: 1611-4086, Year 2009.
    Preprint (PDF)
  33. Wavelet Boundary Element Method on Molecular Surfaces:
    Parametrization and Implementation.
    Authors: H. Harbrecht and M. Randrianarivony
    Computing, Volume 86,
    Pages 1-22, Year 2009.
    Preprint (PDF)
  34. Approximation by NURBS Curves with Free Knots.
    Authors: M. Randrianarivony and G. Brunnett
    Conference Vision Modeling and Visualization, Erlangen Germany,
    Akademische Verlagsgesellschaft AKA, Pages 195-202, Year 2002.
    Preprint (PDF)
  35. Anisotropic Finite Elements for the Stokes Problem: A-Posteriori
    Error Estimator and Adaptive Mesh.
    Author: M. Randrianarivony
    Journal of Computational and Applied Mathematics, Volume 169, Number 2,
    Pages 255-275, Year 2004.
    Preprint (PDF)

RECENT COMPUTER IMPLEMENTATIONS:


  1. Parallel higher order Finite Element Method
  2. Multi-processor Wavelet BEM package
  3. Clementine: modeling of molecular microgeometry
  4. Finite Element Method for Stokes flow
  5. Geometric library