Mahadevan Ganesh

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Galerkin boundary element methods for the solution of novel first kind Steklov–Poincaré and hypersingular operator boundary integral equations with nonlinear perturbations are investigated to solve potential type problems in two-and three-dimensional Lipschitz domains with nonlinear boundary conditions. For the numerical solution of the resulting Newton(More)
AIM The anatomical pits and fissures of the teeth have long been recognized as susceptible areas for the initiation of dental caries. The extreme vulnerability to decay of these pits and fissures on the occlusal surfaces has prompted dental scientists to seek methods of caries prevention. Motivated by the role of pit and fissure sealants in caries(More)
In this work, we analyse new robust spline approximation methods for mth order boundary value problems described by nonlinear ordinary diierential and integro-diierential equations with m linear boundary conditions. Our main aim is to introduce a cost-eeective alternative to the highly successful orthogonal col-location method, and to prove stability and(More)
We study a subspace of bivariate trigonometric polynomials for interpolating functions on the sphere. We give an explicit construction for a system of interpolation nodes, and the corresponding basis for this space, that allows a (discrete) fast Fourier transform–type formula for the interpolant. We prove that the uniform norm of our interpolation operator(More)
200 children of the age groups of 3-5 years and 6-7 years were selected for sealant application, each consisting of 100 children. The clinical retention of Fuji VII was tested in both primary and permanent molar teeth at time intervals of 6 months, 12 months and 24 months follow-up and compared with a resin based sealant, Concise. Results demonstrated that(More)
Anomalous sub-diffusion models are currently considered to be efficient for characterization of complex single - (and hence multi -) phase fluid flow in reservoir simulations. For simulation of such models in three space dimensions, typically, millions of degree of freedoms (DoF) are required to resolve multiscale features in reservoirs. Further, the key(More)