Boundary Condition

Boundary conditions, specifying the behavior of a system at its edges, are crucial for solving partial differential equations (PDEs) and are a central focus in numerous scientific and engineering fields. Current research emphasizes improving the accuracy and efficiency of boundary condition implementation across diverse model architectures, including Physics-Informed Neural Networks (PINNs), domain decomposition methods, and boundary integral equation-based approaches. These advancements are driving progress in areas such as medical image registration, computational fluid dynamics, and material science by enabling more accurate and computationally efficient simulations of complex systems.