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Mahadevan 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@mines.edu

Mahadevan Ganesh (Devan Ganesh)

External Positions

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)
  • Current Grants: Simons Foundation (2021-2026, PI) and ARC (2023-2025, CO-PI)

Publications

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.
  • A fast algorithm for the Helmholtz transmission problem with large multiple scattering configurations. (With S.C. Hawkins .) J. Acoust. Soc. Am (JASA), 158 (2024), 752-762. 
  • Evaluating the Impact of Uncertainty in Ground Motion Forecasts for Post-Earthquake Impact Modeling Applications.  (With D. Engler and K. Jaiswal .) Earthquake Spectra, 2024 (to appear).
  • An all-frequency stable surface-integral-equation algorithm for electromagnetism in 3D unbounded penetrable media: Continuous and fully-discrete model analysis. (Submitted to Adv. Comp. Math., 2024) (With S.C. Hawkins and D. Volkov .)
  • T-matrix computations for light scattering by penetrable particles with large aspect ratios.  (Submitted to J. Quant. Spect. Radiative Transfer, 2024)  (With S.C. Hawkins)