A Newton-Krylov solver with multiplicative Schwarz preconditioning for finite element compressible flow simulations

Communications in Numerical Methods in Engineering

Volumn 18, Issue 4, 2002, Pages 269-275

  Banas K ^a  

^a CRACOW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Compressible flow; Finite elements; Matrix free GMRES; Newton Krylov solvers; Schwarz preconditioning

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; FINITE ELEMENT METHOD; ITERATIVE METHODS; MATRIX ALGEBRA; NAVIER STOKES EQUATIONS;

NEWTON ITERATIONS;

COMPRESSIBLE FLOW;

COMPRESSIBLE FLOW; FINITE ELEMENT METHOD; NAVIER-STOKES EQUATIONS;

EID: 0036537629     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/cnm.495     Document Type: Article

References (8)

1. Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation
2. A globally convergent matrix-free algorithm for implicit time-marching schemes arising in finite element analysis in fluids
3. A new finite element formulation for computational fluid dynamics: X. The compressible Euler and Navier-Stokes equations
4. A multi-element group preconditioned GMRES algorithm for nonsymmetric systems arising in finite element analysis
5. An anisotropic h-adaptive finite element method for compressible Navier-Stokes equations
6. Convergence to steady-state solutions for stabilized finite element simulations of compressible flows
7. GMRES: A generalized minimal residual algorithm for solving non-symmetric linear systems
8. Domain decomposition method in computational mechanics