Ganesh

Ganesh, Mahadevan                 

Professor

College of Engineering & Computational Sciences

Department of Applied Mathematics & Statistics

Computer Science Department (Joint Faculty)

Colorado School of Mines, Golden, Colorado 80401-1887

Office   : Room 222, Chauvenet Hall
Phone   : 303-273-3927
Fax       : 303-273-3875                                                             
Email   : mganesh at mines dot edu



Research Interests   (Via Visualization)

    Stochastic, model reduction and multiscle algorithms

    Quantification of uncertainties in parallel scientific computing models

    Computational electromagnetics & High-performance computing

    High-order, high-performance computing algorithms for wave propagation and absorption simulations in 3-D.

     Forward and inverse  acoustic and electromagnetic scattering in 3-D.

    Efficient algorithms for the Stokes and Navier-Stokes equations on rotating surfaces.

    Quadrature finite element methods for elliptic, parabolic and hyperbolic problems.

    Free surface nonlinear evolutionary systems   with applications.

    Constructive approximations on spherical surfaces.

     Fully discrete spectral boundary integral and boundary element methods.

     Parallel evolutionary computations  and analysis.

    Radial basis functions based numerical schemes for PDEs.


Funding               

    Supported (as a single-PI) with research funds from the National Science Foundation (NSF), the Los Alamos National Laboratory (LANL), and the National Renewable Energy Lab

        PI/CO-PI of several grants funded by the ARC, LANL, NREL, NSF and other agencies grants

        ARC -- Australian Research Council (Australian equivalent of the NSF, USA)


Teaching              
        MATH 440/540 Parallel Scientific Computing.
        BELS/MATH 433 Mathematical Biology.
         MATH 550 Numerical Methods for Partial Differential Equations.
        MATH 332/342 Linear Algebra.
        MATH 307 Introduction to Scientific Computing.

Recent Journal Publications/submissions  (2011-2018) [Author/Co-author of over 100 research articles]     
     A fully discrete Galerkin method for high frequency exterior acoustic scattering in three dimensions .
        (With S. C. Hawkins .)  J. Comp. Phys. ,  230 (2011), 104-125.

     An efficient algorithm for simulating scattering by a large number of two dimensional particles.
        (With S. C. Hawkins .)  Aust. & NZ Indus. Appl. Math. (ANZIAM) J.,  52 (2011), C139-C155.

     A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres
        (With Q. T. Le Gia and I. H. Sloan .)  Math. Comp. ,  80 (2011), 1397-1430.

     A radial basis Galerkin method for spherical surface Stokes equations.
        (With Q.T. Le Gia .)  Aust. & NZ Indus. Appl. Math. (ANZIAM) J.,  52 (2011), C58-C71.

     Convergence analysis with parameter estimates for a reduced basis acoustics scattering T-matrix method
        (With S. C. Hawkins and R. Hiptmair .)  IMA J. Numer. Anal.,  32 (2012), 1348-1374.

     A reduced basis method for electromagnetic scatttering by multiple particles in three dimensions
        (With J. Hesthaven and B. Stamm .)  J. Comput. Phys.,  231 (2012), 7756-7779

     A stochastic pseudospectral and T-matrix algorithm for acoustic scattering by a class of multiple particle configurations
        (With S. C. Hawkins .)  J. Quant. Spect. Radiative Transfer, 123 (2013), 41-52

     Interpolation and cubature approximation and analysis for a class of wideband integrals on the sphere
        (With V. Dominguez .)  Advances in Comput. Math., 39, 547-584, 2013.

     An efficient algorithm for simulation of stochastic scattering cross-sections
        (With S. C. Hawkins .)  Aust. & NZ Indus. Appl. Math. (ANZIAM) J.,  54 (2013), C119-C136.

     An all-frequency weakly-singular surface integral equation for electromagnetism in dielectric media: Reformulation and well-posedness analysis
        (With S. C. Hawkins and D. Volkov .)  J. Math. Anal. & Appl.,  412 (2014), 277-300.

     Spectral properties of Schrodinger operators on superconducting surfaces
        (With T. Thompson .)  J. Spectral Theory, 4 (2014), 569-612.

     An efficient O(N) algorithm for computing O(N^2) acoustic wave interactions in large N-obstacle three dimensional configurations
        (With S. C. Hawkins .)  BIT Numer. Math., 55(2015), 117-139.

     Schrodinger eigenbasis on a class of superconducting surfaces : Ansatz, analysis, FEM approximations and computations
        (With T. Thompson .)  Appl. Numer. Math., 89 (2015), 45-75.

     A high performance computing and sensitivity analysis algorithm for stochastic many-particle wave scattering
        (With S. C. Hawkins .)  SIAM J Scientific Computing, 37 (2015), A1475-A1503

     Sobolev estimates for constructive uniform-grid FFT interpolatory approximations of spherical functions
        (With V. Dominguez .)  Advances in Comput. Math., 42 (2016), 843-887.

     Scattering by stochastic boundaries: hybrid low- and high-order quantification algorithms
        (With S. C. Hawkins .)  Aust. & NZ Indus. Appl. Math. (ANZIAM) J., 56 (2016) C312-C338.

     High-order FEM-BEM computer models for wave propagation in unbounded and heterogeneous media: Application to time-harmonic acoustic horn problem
        (With C. Morgenstern .)  J. Comp. Appl. Math., 307 (2016) 183-203.

     An offline/online algorithm for a class of stochastic multiple obstacle configurations in half-plane.
        (With S. C. Hawkins .)  )  J. Comp. Appl. Math., 307 (2016) 52-64.

     Parallel mixed FEM simulation of a class of single-phase models with non-local operators
        (With A. Alyoubi .)  J. Comp. Appl. Math., 307 (2016)106-118.

     An efficient multigrid algorithm for heterogeneous acoustic media sign-indefinite high-order FEM model
        (With C. Morgenstern .)  Numer. Linear Algebra, 24 (2017), e2049 (http://onlinelibrary.wiley.com/doi/10.1002/nla.2049/epdf).

     Computing spatial correlation of ground motion intensities for shakeMap
        (With S. A. Verros, D. J. Wald, C. B. Worden, M. Hearne .)  Computers & Geosciences, 37:106-118, 2017.

     Algorithm 975: TMATROM -- A T-matrix Reduced Order Model Software
        (With S. C. Hawkins .)  ACM Trans. Math. Softw, 44: Article 9, 2017 (http://dx.doi.org/10.1145/3054945).

     Sign-definite preconditioned high-order FEM. Part 1: Formulation and simulation for acoustic wave propagation in bounded homogeneous media.
        (With C. Morgenstern .)  SIAM J Sci. Comput, 39 (2017), S563-S586.

     A spectrally accurate algorithm and analysis for a Ginzburg-Landau model on superconducting surfaces
        (With T. Thompson .)  (SIAM) Multiscale Model. Simul., 16 (2018), 78-105.

     High-order FEM domain decomposition models for high-frequency wave propagation in heterogeneous media.
        (With C. Morgenstern .)  Comp. Math. Appl. (CAMWA), 75 (2018), 1961-1972.

     An FEM-MLMC algorithm for a moving shutter diffraction in time stochastic model.
        (With B. Reyes and A. Purkayastha .)  Discrete Cont. Dyn.-B, 2018 (to appear).

     A fast high order algorithm for multiple scattering from large sound-hard configurations in three dimensions
        (With S.C. Hawkins .)  Submitted.

     A coercive heterogeneous media Helmholtz model: Formulation, wavenumber-explicit analysis, and preconditioned high-order FEM
        (With C. Morgenstern .)  Submitted.

     An efficient algorithm for a class of stochastic forward and inverse Maxwell models in R^3.
        (With S.C. Hawkins .)  Submitted.