11 citations · 15 across the 8 of their papers we have counts for
8 papers
An all-frequency stable integral system for Maxwell's equations in 3-D penetrable media: continuous and discrete model analysis
Mahadevan Ganesh, Stuart C. Hawkins, Darko Volkov
We introduce a new system of surface integral equations for Maxwell's transmission problem in three dimensions. This system has two remarkable features, both of which we prove. Fir…
Analysis and application of an overlapped FEM-BEM for wave propagation in unbounded and heterogeneous media
V. Domínguez, M. Ganesh
An overlapped continuous model framework, for the Helmholtz wave propagation problem in unbounded regions comprising bounded heterogeneous media, was recently introduced and analyz…
An efficient epistemic uncertainty quantification algorithm for a class of stochastic models: A post-processing and domain decomposition framework
Mahadevan Ganesh, Stuart C Hawkins, Alexandre Tartakovsky +1
Partial differential equations (PDEs) are fundamental for theoretically describing numerous physical processes that are based on some input fields in spatial configurations. Unders…
Quasi-Monte Carlo finite element analysis for wave propagation in heterogeneous random media
M. Ganesh, Frances Y. Kuo, Ian H. Sloan
We propose and analyze a quasi-Monte Carlo (QMC) algorithm for efficient simulation of wave propagation modeled by the Helmholtz equation in a bounded region in which the refractiv…
An overlapping decomposition framework for wave propagation in heterogeneous and unbounded media: Formulation, analysis, algorithm, and simulation
Victor Dominguez, Mahadevan Ganesh, Francisco-Javier Sayas
A natural medium for wave propagation comprises a coupled bounded heterogeneous region and an unbounded homogeneous free-space. Frequency-domain wave propagation models in the medi…
A well-posed surface currents and charges system for electromagnetism in dielectric media
M. Ganesh, S. C. Hawkins, C. Jeznach +1
The free space Maxwell dielectric problem can be reduced to a system of surface integral equations (SIE). A numerical formulation for the Maxwell dielectric problem using an SIE sy…
Interpolation and cubature approximations and analysis for a class of wideband integrals on the sphere
V. Dominguez, M. Ganesh
We propose, analyze, and implement interpolatory approximations and Filon-type cubature for efficient and accurate evaluation of a class of wideband generalized Fourier integrals o…
A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres
M. Ganesh, Q. T. Le Gia, I. H. Sloan
In this work, we describe, analyze, and implement a pseudospectral quadrature method for a global computer modeling of the incompressible surface Navier-Stokes equations on the rot…