Xiao-Chuan Cai – författare

These are the proceedings of the 25th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in St. John's, Newfoundland, Canada in July 2018.

These are the proceedings of the 25th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in St. John's, Newfoundland, Canada in July 2018.

Domain decomposition is an active interdisciplinary area of research in the mathematical analysis and computational implementation of decoupling and coupling strategies for models of natural and engineered physical systems, networks, and graphs.  Since the advent of distributed-memory supercomputers, it has been motivated by considerations of concurrency and locality for a wide variety of large-scale problems, continuous and discrete.  Historically, it emerged from the analysis of partial differential equations, beginning with the work of Schwarz in 1870.  This volume contains fifty papers originally presented at the 28th International Conference on Domain Decomposition Methods at the King Abdullah University of Science and Technology in Saudi Arabia in 2024 by scientists from 24 countries, updated post-conference to 2026, spanning from fluid flow to Helmholtz problems, from optimization to neural networks.

This book is a collection of papers presented at the 23rd International Conference on Domain Decomposition Methods in Science and Engineering, held on Jeju Island, Korea on July 6-10, 2015. Domain decomposition methods solve boundary value problems by splitting them into smaller boundary value problems on subdomains and iterating to coordinate the solution between adjacent subdomains. Domain decomposition methods have considerable potential for a parallelization of the finite element methods, and serve a basis for distributed, parallel computations.