5 citations · 10 across the 5 of their papers we have counts for
5 papers
Neural Network Preconditioning: A Case Study for the Solution of the Parametric Helmholtz Equation
Luc Giraud, Carola Kruse, Paul Mycek +2
This work presents a hybrid numerical approach for solving linear systems arising from the discretization of the two-dimensional parametric Helmholtz equation. A convolutional neur…
Deflation for the off-diagonal block in symmetric saddle point systems
Andrei Dumitrasc, Carola Kruse, Ulrich Ruede
Deflation techniques are typically used to shift isolated clusters of small eigenvalues in order to obtain a tighter distribution and a smaller condition number. Such changes induc…
Inexact inner-outer Golub-Kahan bidiagonalization method: A relaxation strategy
Vincent Darrigrand, Andrei Dumitrasc, Carola Kruse +1
We study an inexact inner-outer generalized Golub-Kahan algorithm for the solution of saddle-point problems with a two-times-two block structure. In each outer iteration, an inner…
Parallel solution of saddle point systems with nested iterative solvers based on the Golub-Kahan Bidiagonalization
Carola Kruse, Masha Sosonkina, Mario Arioli +2
We present a scalability study of Golub-Kahan bidiagonalization for the parallel iterative solution of symmetric indefinite linear systems with a 2x2 block structure. The algorithm…
An iterative generalized Golub-Kahan algorithm for problems in structural mechanics
Mario Arioli, Carola Kruse, Ulrich Ruede +1
This paper studies the Craig variant of the Golub-Kahan bidiagonalization algorithm as an iterative solver for linear systems with saddle point structure. Such symmetric indefinite…