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A priori error analysis of new semidiscrete, Hamiltonian HDG methods for the time-dependent Maxwell’s equations
Bernardo Cockburn, Shukai Du and Manuel A. Sánchez ESAIM: Mathematical Modelling and Numerical Analysis 57(4) 2097 (2023) https://doi.org/10.1051/m2an/2023048
Structure-preserving discretization of Maxwell's equations as a port-Hamiltonian system
Non-Smooth and Complementarity-Based Distributed Parameter Systems
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Symplectic Hamiltonian finite element methods for electromagnetics
Manuel A. Sánchez, Shukai Du, Bernardo Cockburn, Ngoc-Cuong Nguyen and Jaime Peraire Computer Methods in Applied Mechanics and Engineering 396 114969 (2022) https://doi.org/10.1016/j.cma.2022.114969
Developing and Analyzing New Unconditionally Stable Finite Element Schemes for Maxwell’s Equations in Complex Media
Qiang Chen and Peter Monk Lecture Notes in Computational Science and Engineering, Frontiers in Numerical Analysis - Durham 2010 85 149 (2011) https://doi.org/10.1007/978-3-642-23914-4_3
Finite element analysis of an A–ϕ method for time-dependent Maxwell’s equations based on explicit-magnetic-field scheme
Parallel Solution of Partial Differential Equations
Ralf Hiptmair and Andrea Toselli The IMA Volumes in Mathematics and its Applications, Parallel Solution of Partial Differential Equations 120 181 (2000) https://doi.org/10.1007/978-1-4612-1176-1_8
Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients