Numerical simulation of wave problems is computationally demanding. Efficient parallelization, capability to handle complex geometries, and sufficient numerical accuracy are some of the requirements ...

Discontinuous Galerkin time-domain (DGTD) methods represent a significant evolution in the numerical simulation of electromagnetic phenomena. By decomposing the spatial domain into a series of ...

Discontinuous Galerkin methods: A class of finite element methods that allow discontinuities between elements, providing flexibility in mesh design and high-order accuracy for approximating PDEs.

LIJUN YI, BENQI GUO, AN h-p VERSION OF THE CONTINUOUS PETROV-GALERKIN FINITE ELEMENT METHOD FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH SMOOTH AND NONSMOOTH KERNELS, SIAM Journal on Numerical ...