Boundary integral equation (BIE) methods have emerged as a robust computational framework for addressing problems in elasticity analysis by reformulating partial differential equations into equivalent ...

Boundary integral equations (BIEs) have emerged as a powerful framework for modelling wave propagation, particularly in problems defined over unbounded or complex domains. By reformulating partial ...

For the integral equation $\mathrm{u}\left(\mathrm{x}\right)={\int }_{0}^{1}\mathrm{K}(\mathrm{x},\mathrm{y})\times \mathrm{u}\left(\mathrm{y}\right)\mathrm{d}\mathrm ...

This is a preview. Log in through your library . Abstract Many boundary integral equation methods used in the simulation of direct electromagnetic scattering of a time-harmonic wave at a perfectly ...

Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat and Laplace equations, Green's functions, and related integral ...

My general research interests are in Computational Fluid Dynamics and Low Reynolds Number Hydrodynamics. Currently, I am working on developing integral equation methods to solve the Stokes and the ...