Achieving high sustained performance in an unstructured mesh CFD application
SC '99 Proceedings of the 1999 ACM/IEEE conference on Supercomputing
Performance modeling and tuning of an unstructured mesh CFD application
Proceedings of the 2000 ACM/IEEE conference on Supercomputing
Globally convergent algorithms for nonsmooth nonlinear equations in computational fluid dynamics
Journal of Computational and Applied Mathematics - Proceedings of the international conference on recent advances in computational mathematics
A parallel block multi-level preconditioner for the 3D incompressible Navier--Stokes equations
Journal of Computational Physics
Jacobian-free Newton-Krylov methods: a survey of approaches and applications
Journal of Computational Physics
Adaptive Software for Scientific Computing: Co-Managing Quality-Performance-Power Tradeoffs
IPDPS '05 Proceedings of the 19th IEEE International Parallel and Distributed Processing Symposium (IPDPS'05) - Workshop 10 - Volume 11
Globalized Newton-Krylov-Schwarz Algorithms and Software for Parallel Implicit CFD
International Journal of High Performance Computing Applications
Journal of Computational Physics
Journal of Computational Physics
Convergence analysis of the Levenberg-Marquardt method
Optimization Methods & Software
Preconditioning methods for discontinuous Galerkin solutions of the Navier-Stokes equations
Journal of Computational Physics
ICCS '09 Proceedings of the 9th International Conference on Computational Science: Part I
Journal of Computational Physics
The role of multi-method linear solvers in PDE-based simulations
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartI
Marker Redistancing/Level Set Method for High-Fidelity Implicit Interface Tracking
SIAM Journal on Scientific Computing
A hybrid trust region algorithm for unconstrained optimization
Applied Numerical Mathematics
A fast algorithm for simulating vesicle flows in three dimensions
Journal of Computational Physics
SIAM Journal on Scientific Computing
ACM Transactions on Mathematical Software (TOMS)
A parallel adaptive newton-krylov-schwarz method for 3D compressible inviscid flow simulations
Modelling and Simulation in Engineering
Multiphysics simulations: Challenges and opportunities
International Journal of High Performance Computing Applications
Hi-index | 0.04 |
Pseudo-transient continuation ($\Psi$tc) is a well-known and physically motivated technique for computation of steady state solutions of time-dependent partial differential equations. Standard globalization strategies such as line search or trust region methods often stagnate at local minima. \ptc succeeds in many of these cases by taking advantage of the underlying PDE structure of the problem. Though widely employed, the convergence of \ptc is rarely discussed. In this paper we prove convergence for a generic form of \ptc and illustrate it with two practical strategies.