This volume features a curated selection of peer-reviewed papers to be included in the proceedings of the 29th International Conference on Domain Decomposition Methods, held in Milan, Italy, from June 23 to 27, 2025. The contributions highlight the latest advances in domain decomposition techniques, as well as related areas such as numerical analysis, scientific computing, high-performance computing, machine learning, and computational science, with a strong emphasis on industrial and societal applications.The format of the papers follows the well-established structure of previous volumes in the “Domain Decomposition Methods in Science and Engineering” series, published by Springer in the LNCSE collection.This volume offers readers a comprehensive and accessible overview of cutting-edge research, providing a valuable reference for those interested in the current state and future directions of the field.

This volume features a curated selection of peer-reviewed papers to be included in the proceedings of the 29th International Conference on Domain Decomposition Methods, held in Milan, Italy, from June 23 to 27, 2025. The contributions highlight the latest advances in domain decomposition techniques, as well as related areas such as numerical analysis, scientific computing, high-performance computing, machine learning, and computational science, with a strong emphasis on industrial and societal applications.The format of the papers follows the well-established structure of previous volumes in the “Domain Decomposition Methods in Science and Engineering” series, published by Springer in the LNCSE collection.This volume offers readers a comprehensive and accessible overview of cutting-edge research, providing a valuable reference for those interested in the current state and future directions of the field.