Ganesh

Mahadevan Ganesh (Devan Ganesh)                 

Professor, Colorado School of Mines (Mines)

Department of Applied Mathematics & Statistics

Computer Science Department (Joint Faculty)

Golden, Colorado 80401-1887

                                                             
CSM Email   : mganesh at mines dot edu



Research Interests   (Via Visualization)

    Scientific machine learning and forward/inverse data-driven stochastic 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

    Efficient algorithms for atmospheric flows on rotating surfaces

    Quadrature finite element methods for elliptic, parabolic and hyperbolic problems

    Free surface nonlinear evolutionary systems   with applications

    Hybrid Finite and Boundary Element Methods (FEM-BEM) for unbounded media models

     Parallel evolutionary computations  and analysis


Funding               

    Supported (as a single-PI) with research funds from the National Science Foundation (NSF), Los Alamos National Laboratory (LANL), National Renewable Energy Lab (NREL), DoD Ordnance Technology Consortium (DOTC),Simons Foundation ...

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

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


Journal Publications  (2011+)
[Author of over 100 research articles ( See ORCID)]
     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, 24 (2019), 257-272.

     A fast high order algorithm for multiple scattering from large sound-hard configurations in three dimensions
        (With S.C. Hawkins .)  J. Comp. Appl Math., 362 (2019) 324–340.

     An efficient algorithm for a class of stochastic forward and inverse Maxwell models in R^3.
        (With S.C. Hawkins and D. Volkov .)  J. Comput. Phys., 398 (2019) 10881 (33-pages). (https://doi.org/10.1016/j.jcp.2019.108881).

     A coercive heterogeneous media Helmholtz model: Formulation, wavenumber-explicit analysis, and preconditioned high-order FEM
        (With C. Morgenstern .)  Numer. Algorithms, 83 (2020), 1441-1487.

     A well-posed surface currents and charges system for electromagnetism in dielectric media
        (With S.C. Hawkins, C. Jeznach and D. Volkov .)  J. Integ. Eqns. Appl., 32 (2020), 1-18.

     An overlapping decomposition framework for wave propagation in heterogeneous and unbounded media: Formulation, analysis, algorithm, and simulation.
        (With V. Dominguez and F.J. Sayas .)  J. Comput. Phys., 403 (2020) 109052.

     Quasi-Monte Carlo finite element analysis for wave propagation in heterogeneous random media.
        (With F.Y. Kuo and I.H. Sloan .)  SIAM/ASA J. Uncertainty Quantification, 9 (2021), 106-134

     An efficient multi-level high-order algorithm for simulation of a class of Allen-Cahn stochastic systems.
        (With B. Reyes .)  J. Comp. Appl. Math., 401 (2022), 113765 (https://doi.org/10.1016/j.cam.2021.113765)

     An Efficient Bayesian Neural Network Surrogate Algorithm for Shape Detection.
        (With S. C. Hawkins, N. Kordzakhia and S. Unicomb .)  ANZIAM J., 62 (2022), C112-C127.

     Approximation of radiating waves in the near-field: Error estimates and application to a class of inverse problems.
        (With J.Barkhan and S.C. Hawkins .)  J. Comp. Appl. Math., 401 (2022), 113769.

     Analysis and application of an overlapped FEM-BEM for wave propagation in unbounded and heterogeneous media.
        (With V. Dominguez .)  Appl. Numer. Math., 171 (2022), 76-105. (https://doi.org/10.1016/j.apnum.2021.08.015)

     A surrogate Bayesian framework for a SARS-CoV-2 data driven stochastic model.
        (With S. C. Hawkins .)  Comp. Math. Biophysics, 10 (2022), 34-67. (https://doi.org/10.1515/cmb-2022-0131)

     A numerically stable T-matrix method for acoustic scattering by nonspherical particles with large aspect ratios and size parameters.         (With S. C. Hawkins .)  J. Acoust. Soc. Am (JASA), 151 (2022), 1978-1988. (https://doi.org/10.1121/10.0009679)

     A high-order algorithm for time-domain scattering in three dimensions.
        (With F. Le Louer .)  Adv Comput Math 49, 46 (43 pages, 2023). ( https://doi.org/10.1007/s10444-023-10033-3 ).

     A stochastic domain decomposition and post-processing algorithm for epistemic uncertainity quantification. Submitted.
        (With S. C. Hawkins, A.M. Tartakovsky, and R. Tipireddy .)  Int. J. Uncertainty Quantification, 13 (2023), 1-22. ( https://doi.org/10.1615/Int.J.UncertaintyQuantification.2023045687 )

     Data-informed uncertainty quantification for wave scattering by heterogenous media.
        (With S. C. Hawkins, N. Kordzakhia and L. Stals .)  ANZIAM J., 64 (2023), C99-C115.