Abstract: When a finite-difference time-domain (FDTD) method is constructed by applying the Crank-Nicolson (CN) scheme to discretize Maxwell's equations, a huge sparse irreducible matrix results, ...
SIAM Journal on Numerical Analysis, Vol. 56, No. 1 (2018), pp. 369-396 (28 pages) In this paper, we study a Crank-Nicolson finite element method for the modified ...
Abstract: Thermomechanical ice sheet model is applied to simulate ice sheet behavior in the Antarctic region. The parameters involved are ice thickness, ice temperature and ice velocity. This model is ...
SIAM Journal on Numerical Analysis, Vol. 52, No. 6 (2014), pp. 2599-2622 (24 pages) In this paper, a new alternating direction implicit Galerkin–Legendre spectral method for the two-dimensional Riesz ...