Solving Nonlinear Solid Mechanics Problems with the Jacobian-Free Newton Krylov Method
Journal Article
·
· CMES: Computer Modeling in Engineering & Sciences
OSTI ID:1045497
The solution of the equations governing solid mechanics is often obtained via Newton's method. This approach can be problematic if the determination, storage, or solution cost associated with the Jacobian is high. These challenges are magnified for multiphysics applications with many coupled variables. Jacobian-free Newton-Krylov (JFNK) methods avoid many of the difficulties associated with the Jacobian by using a finite difference approximation. BISON is a parallel, object-oriented, nonlinear solid mechanics and multiphysics application that leverages JFNK methods. We overview JFNK, outline the capabilities of BISON, and demonstrate the effectiveness of JFNK for solid mechanics and solid mechanics coupled to other PDEs using a series of demonstration problems.
- Research Organization:
- Idaho National Laboratory (INL)
- Sponsoring Organization:
- DOE - NE
- DOE Contract Number:
- AC07-05ID14517
- OSTI ID:
- 1045497
- Report Number(s):
- INL/JOU-11-22230
- Journal Information:
- CMES: Computer Modeling in Engineering & Sciences, Journal Name: CMES: Computer Modeling in Engineering & Sciences Journal Issue: 2 Vol. 84
- Country of Publication:
- United States
- Language:
- English
Similar Records
Application of the Jacobian-Free Newton-Krylov Method to Nonlinear Acceleration of Transport Source Iteration in Slab Geometry
Acceleration of k-Eigenvalue / Criticality Calculations using the Jacobian-Free Newton-Krylov Method
A Parallel, Fully Coupled, Fully Implicit Solution to Reactive Transport in Porous Media Using the Preconditioned Jacobian-Free Newton-Krylov Method
Journal Article
·
Mon Jan 31 23:00:00 EST 2011
· Nuclear Science and Engineering
·
OSTI ID:1016204
Acceleration of k-Eigenvalue / Criticality Calculations using the Jacobian-Free Newton-Krylov Method
Journal Article
·
Mon Jan 31 23:00:00 EST 2011
· Nuclear Science and Engineering
·
OSTI ID:1010691
A Parallel, Fully Coupled, Fully Implicit Solution to Reactive Transport in Porous Media Using the Preconditioned Jacobian-Free Newton-Krylov Method
Journal Article
·
Thu Feb 28 23:00:00 EST 2013
· Advances in Water Resources
·
OSTI ID:1062744