A multigrid Newton-Krylov method for multimaterial equilibrium radiation diffusion
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Publication:1306109
DOI10.1006/jcph.1999.6240zbMath0944.85002OpenAlexW2092013376MaRDI QIDQ1306109
Gordon L. Olson, Dana A. Knoll, William J. Rider
Publication date: 20 September 2000
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jcph.1999.6240
equilibrium radiation diffusionmultigrid Newton-Krylov methodmultimaterial equilibrium radiation diffusion
Numerical computation of solutions to systems of equations (65H10) Nonlinear parabolic equations (35K55) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Computational methods for problems pertaining to astronomy and astrophysics (85-08) Radiative transfer in astronomy and astrophysics (85A25)
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Cites Work
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- A high-order projection method for tracking fluid interfaces in variable density incompressible flows
- The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
- Numerical simulations for nonlinear heat transfer in a system of multimaterials
- Iterative linear solvers in a 2D radiation-hydrodynamics code: Methods and performance
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Inexact Newton Methods
- An efficient multigrid scheme for elliptic equations with discontinuous coefficients
- A Multigrid Preconditioned Newton--Krylov Method
- Matrix-Free Methods for Stiff Systems of ODE’s
