2D FEM code to calculate Electromagnetic Simulations

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2D FEM code to calculate Electromagnetic Simulations

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Edge element-based 2D Finite Element Method (FEM) code is a powerful tool for solving electromagnetic simulations, particularly for problems involving wave propagation, scattering, or resonant structures. Unlike traditional nodal elements, edge elements ensure tangential field continuity while allowing normal field discontinuities, making them ideal for modeling electromagnetic fields accurately.

The implementation involves discretizing the domain into finite elements, typically triangles or quadrilaterals, where vector basis functions are defined along edges rather than nodes. This approach naturally enforces the physical boundary conditions of Maxwell's equations and avoids spurious solutions. The core steps include mesh generation, matrix assembly from weak forms of governing equations, and solving the resulting linear system efficiently, often using iterative solvers for large-scale problems.

Applications range from waveguide analysis to antenna design, where edge-based FEM provides better accuracy for field singularities and material interfaces compared to conventional methods. Performance optimizations may include adaptive mesh refinement and parallel computing techniques to handle complex geometries efficiently.

For those extending this work, consider hybrid formulations with boundary elements or incorporating nonlinear material properties for advanced applications like metamaterial simulation.