The field of numerical methods for nonlocal and nonlinear problems is witnessing significant advancements, with a focus on developing innovative and efficient solution strategies. Researchers are exploring new finite element methods, such as hybrid high-order and scaled boundary finite element methods, to tackle complex problems in solid mechanics and electromagnetism. Additionally, there is a growing interest in designing robust and stable numerical schemes for nonlocal models, including those with heterogeneous material properties. Noteworthy papers in this area include: A Hybrid High-Order Finite Element Method for a Nonlocal Nonlinear Problem of Kirchhoff Type, which presents a novel finite element method for nonlocal nonlinear problems. Unique continuation for the wave equation: the stability landscape, which establishes stability estimates for the wave equation and designs a convergent finite element method. Well-Posedness and Approximation of Weak Solutions to Time Dependent Maxwell's Equations with $L^2$-Data, which provides a direct proof of well-posedness and a structure-preserving semi-discrete finite element method for Maxwell's equations.