6 articles
Domain decomposition methods
Domain decomposition methods (DDMs) are numerical methods that solve large systems from discretized partial differential equations by splitting them into smaller subdomain problems, coupled at interfaces and solved in parallel.
Fictitious domain method
The fictitious domain method is a numerical technique for solving partial differential equations on irregular or moving domains by embedding them in a larger, simply shaped one.
Frequency domain decomposition
Frequency domain decomposition (FDD) is an operational modal analysis method that extracts natural frequencies, mode shapes, and damping ratios from a structure's ambient vibration without knowing the exciting forces.
Overlapping domain decomposition
Overlapping domain decomposition solves a partial differential equation by splitting its domain into overlapping subdomains, solving local problems in parallel, and exchanging interface data until they combine.
Parareal algorithm
The parareal algorithm is a parallel-in-time integration method for time-dependent differential equations, introduced by Lions, Maday, and Turinici in 2001, which iteratively corrects a cheap coarse solution using fine computations run in parallel.
Schwarz alternating method
The Schwarz alternating method is an iterative domain decomposition technique for solving partial differential equations on overlapping subdomains, devised by Hermann Schwarz in 1869 and now used mainly as a parallel preconditioner.