Finite-Difference Time-Domain (FDTD) methods represent a cornerstone in the numerical simulation of wave propagation phenomena. These methods solve Maxwell’s equations directly in the time domain, ...

Finite-difference approximations for the first derivative, valid halfway between equidistant gridpoints, are in general much more accurate than the corresponding approximations, which are valid at ...

SIAM Journal on Numerical Analysis, Vol. 26, No. 6 (Dec., 1989), pp. 1474-1486 (13 pages) An explicit finite difference algorithm is developed to approximate the solution of a nonlinear and nonlocal ...

Abstract: The radar cross section analysis combined with an efficient subgridding technique is formulated and implemented in this paper by means of the nonstandard finite difference time domain ...

Methods for treating material and geometric nonlinearities by finite elements; transient analysis: explicit and implicit time integration, partitioned methods, and stability; hybrid and mixed elements ...

Abstract: Immersed finite element methods enable the simulation of physical systems that are challenging - or even prohibitively complex - for classical finite element approaches, spanning domains ...

This course will cover the fundamentals of non-standard finite element formulations such as Moving Least Squares (MLS), Element Free Galerkin (EFG), Reproducing Kernel Particle Method (RKPM), Material ...