1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2026
Kreiss stability analysis of Hagstrom-Warburton nonreflecting boundary conditions for the first-order time-dependent Maxwell equations
Kaifang Liu, Matthias Schlottbom, J. J. W. van der Vegt +1
We analyze the stability of the Hagstrom-Warburton nonreflecting boundary conditions (HW-NRBCs) for the first-order time-dependent Maxwell equations. The HW-NRBCs enjoy very small…
math.NA2025★ 1 cited
Kernel compensation method for Maxwell eigenproblem with mimetic finite difference discretization
Chenhao Jin, Yinhua Xia, Yan Xu
We present a kernel compensation method for Maxwell eigenproblem for photonic crystals to avoid the infinite-dimensional kernels that cause many difficulties in the calculation of…
math.NA2023
Entropy dissipative higher order accurate positivity preserving time-implicit discretizations for nonlinear degenerate parabolic equations
F. Yan, J. J . W. van der Vegt, Y. Xia +1
We develop entropy dissipative higher order accurate local discontinuous Galerkin (LDG) discretizations coupled with Diagonally Implicit Runge-Kutta (DIRK) methods for nonlinear de…