Energy-Conserved Splitting Multidomain Legendre-Tau Spectral Method for Two Dimensional Maxwell’s Equations

[1]  Jie Shen,et al.  Wavenumber explicit analysis for time-harmonic Maxwell equations in a spherical shell and spectral approximations , 2018 .

[2]  Jun Hu,et al.  Solving electromagnetic scattering from complex composite objects with domain decomposition method based on hybrid surface integral equations , 2017 .

[3]  Chi-Wang Shu,et al.  Optimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials , 2017, Comput. Math. Appl..

[4]  Stéphane Lanteri,et al.  Locally Implicit Discontinuous Galerkin Time Domain Method for Electromagnetic Wave Propagation in Dispersive Media Applied to Numerical Dosimetry in Biological Tissues , 2016, SIAM J. Sci. Comput..

[5]  D. Liang,et al.  Analysis of the energy‐conserved S‐FDTD scheme for variable coefficient Maxwell's equations in disk domains , 2016 .

[6]  Christophe Geuzaine,et al.  A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell's equations , 2015, J. Comput. Phys..

[7]  Shan Zhao,et al.  Time-domain matched interface and boundary (MIB) modeling of Debye dispersive media with curved interfaces , 2014, J. Comput. Phys..

[8]  Dong Liang,et al.  Energy-conserved splitting spectral methods for two dimensional Maxwell's equations , 2014, J. Comput. Appl. Math..

[9]  Weiwei Sun,et al.  Legendre Spectral Galerkin Method for Electromagnetic Scattering from Large Cavities , 2013, SIAM J. Numer. Anal..

[10]  Dong Liang,et al.  Energy-Conserved Splitting Finite-Difference Time-Domain Methods for Maxwell's Equations in Three Dimensions , 2010, SIAM J. Numer. Anal..

[11]  Dong Liang,et al.  Energy-conserved splitting FDTD methods for Maxwell’s equations , 2007, Numerische Mathematik.

[12]  Dong Liang,et al.  The splitting finite-difference time-domain methods for Maxwell's equations in two dimensions , 2007 .

[13]  Chang-Hong Liang,et al.  Two dimensional multidomain pseudospectral time-domain algorithm based on alternating-direction implicit method , 2006, IEEE Transactions on Antennas and Propagation.

[14]  Daniel A. White,et al.  A high order mixed vector finite element method for solving the time dependent Maxwell equations on unstructured grids , 2005 .

[15]  Shan Zhao,et al.  High-order FDTD methods via derivative matching for Maxwell's equations with material interfaces , 2004 .

[16]  Chi-Wang Shu,et al.  Locally divergence-free discontinuous Galerkin methods for the Maxwell equations , 2004, Journal of Computational Physics.

[17]  J. Hesthaven,et al.  Nodal high-order methods on unstructured grids , 2002 .

[18]  Zhizhang Chen,et al.  Numerical dispersion analysis of the unconditionally stable 3-D ADI-FDTD method , 2001 .

[19]  Amir Yefet,et al.  A staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations , 2001 .

[20]  Jan S. Hesthaven,et al.  Multidomain pseudospectral computation of Maxwell's equations in 3-D general curvilinear coordinates , 2000 .

[21]  T. Namiki,et al.  A new FDTD algorithm based on alternating-direction implicit method , 1999 .

[22]  Alfio Quarteroni,et al.  Domain Decomposition Methods for Systems of Conservation Laws: Spectral Collocation Approximations , 1990, SIAM J. Sci. Comput..

[23]  K. Yee Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .

[24]  H. H. Rachford,et al.  On the numerical solution of heat conduction problems in two and three space variables , 1956 .

[25]  Jim Douglas,et al.  Numerical solution of two‐dimensional heat‐flow problems , 1955 .

[26]  He-ping Ma,et al.  Multidomain Legendre–Galerkin Chebyshev-collocation method for one-dimensional evolution equations with discontinuity☆ , 2017 .

[27]  Y. Wong,et al.  ADI-FDTD Method for Two-Dimensional Transient Electromagnetic Problems , 2016 .

[28]  Sigal Gottlieb,et al.  Spectral Methods , 2019, Numerical Methods for Diffusion Phenomena in Building Physics.