23 citations · 28 across the 5 of their papers we have counts for
9 papers
A First Closed-Form Robin Parameter for Optimized Schwarz Waveform Relaxation as a Function of Iteration Count, Overlap, and Time Window Length
Alejandro Alfonso Rodriguez, Martin J. Gander, Felix Kwok
Schwarz waveform relaxation (SWR) is a parallel-in-time iterative method for the solution of evolution problems and belongs to the class of Parallel-in-Time algorithms that have re…
Time-parallelization of sequential data assimilation problems
Sebastián Riffo, Félix Kwok, Julien Salomon
This paper is devoted to the problem of time parallelization of assimilation methods applying on unbounded time domain. In this way, we present a general procedure to couple the Lu…
Convergence analysis of the Schwarz alternating method for unconstrained elliptic optimal control problems
Wei Gong, Felix Kwok, Zhiyu Tan
In this paper we analyze the Schwarz alternating method for unconstrained elliptic optimal control problems. We discuss the convergence properties of the method in the continuous c…
Nonlinear optimized Schwarz preconditioner for elliptic optimal control problems
Gabriele Ciaramella, Felix Kwok, Georg Müller
We introduce a domain decomposition-based nonlinear preconditioned iteration for solving nonlinear, nonsmooth elliptic optimal control problems, with a nonlinear reaction term, $L^…
PARAOPT: A parareal algorithm for optimality systems
Martin Gander, Félix Kwok, Julien Salomon
The time parallel solution of optimality systems arising in PDE constraint optimization could be achieved by simply applying any time parallel algorithm, such as Parareal, to solve…
Nonlinear Preconditioning: How to use a Nonlinear Schwarz Method to Precondition Newton's Method
V. Dolean, M. J. Gander, F. Kwok +2
For linear problems, domain decomposition methods can be used directly as iterative solvers, but also as preconditioners for Krylov methods. In practice, Krylov acceleration is alm…
Dirichlet-Neumann Waveform Relaxation Method for the 1D and 2D Heat and Wave Equations in Multiple subdomains
Martin J. Gander, Felix Kwok, Bankim C. Mandal
We present a Waveform Relaxation (WR) version of the Dirichlet-Neumann algorithm, formulated specially for multiple subdomains splitting for general parabolic and hyperbolic proble…
Dirichlet-Neumann and Neumann-Neumann Waveform Relaxation for the Wave Equation
Martin J. Gander, Felix Kwok, Bankim C. Mandal
We present a Waveform Relaxation (WR) version of the Dirichlet-Neumann and Neumann-Neumann algorithms for the wave equation in space time. Each method is based on a non-overlapping…
Dirichlet-Neumann and Neumann-Neumann Waveform Relaxation Algorithms for Parabolic Problems
Martin J. Gander, Felix Kwok, Bankim C. Mandal
We present a waveform relaxation version of the Dirichlet-Neumann and Neumann-Neumann methods for parabolic problems. Like the Dirichlet-Neumann method for steady problems, the met…