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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…