A new two-phase incompressible–compressible Smoothed Particle Hydrodynamics (SPH)
method has been developed where the interface is discontinuous in density. This is applied …

We employ Anderson extrapolation to accelerate the classical Jacobi iterative method for
large, sparse linear systems. Specifically, we utilize extrapolation at periodic intervals within …

Picard Iteration is a widely used coupling method for multiphysics simulations. This method
allows one to directly leverage existing and well-developed single-physics programs without …

The Anderson acceleration method is an algorithm for accelerating the convergence of fixed-
point iterations, including the Picard method. Anderson acceleration was first proposed in …

Today's multi-physics simulations suffer from a lack of either flexibility or scalability. Only
reconciling both will allow for translating the higher compute power of the forthcoming exa …

We present a variant of the restarted Pulay's Direct Inversion in the Iterative Subspace (DIIS)
method for efficiently and robustly accelerating the convergence of fixed-point iterations …

Abstract We present the Alternating Anderson–Richardson (AAR) method: an efficient and
scalable alternative to preconditioned Krylov solvers for the solution of large, sparse linear …

This paper presents the transient aerothermal analysis of a gas turbine internal air system
through an engine flight cycle featuring multiple fluid cavities that surround a HP turbine disk …

This paper deals with a general class of algorithms for the solution of fixed-point problems
that we refer to as Anderson–Pulay acceleration. This family includes the DIIS technique and …

In this note we demonstrate that using Anderson Acceleration (AA) in place of a standard
Picard iteration can not only increase the convergence rate but also make the iteration more …