• Aucun résultat trouvé

Preconditioned Krylov subspace methods for solving radiative transfer problems with scattering and reflection

N/A
N/A
Protected

Academic year: 2021

Partager "Preconditioned Krylov subspace methods for solving radiative transfer problems with scattering and reflection"

Copied!
28
0
0

Texte intégral

Figure

Figure 1: Discretized angular space with the icosahedron refinements. (a) icosahedron, (b) first refinement icosahedron, and (c) second refinement icosahedron.
Figure 2: Dirichlet boundary conditions and the geometry used for the tests in section 4.
Table 1: Radiative properties for tests 1A to 1H used in section 4.1: absorption coefficient κ (in cm −1 ), scattering coefficient σ s (in cm −1 ), and index of refraction n of the medium.
Figure 3: Eigenspectra for the transparent (pure transport) medium (test 1A), for the highly absorbing (optically thick) medium (test 1B), for the semi-transparent medium (test 1C), and for the highly scattering medium (test 1D)
+7

Références

Documents relatifs

This section considers the development of finite element subspaces satisfying the crucial inf-sup condition in Assumption 3.1.. Lemma 4.1 below provides several equivalent

A significant result derived in this paper is the superlinear convergence of the GMRES algorithm when it is preconditioned with the so called Schwarz preconditioner in the case of

In order to check the validity of the present dual method, we compare the stress fields obtained using this method with the stress fields obtained using the classical displacement

Schwarz preconditioning combined with GMRES, Newton basis and deflation DGMRES: preconditioning deflation AGMRES: augmented subspace. 11

Freund, Reduced-order modeling of large linear subcircuits via a block Lanczos algorithm, in: Proceedings of the 32nd ACM=IEEE Design Automation Conference, ACM, New York, 1995,

3, it is shown how the number of iterations evolves with the number of degrees of freedom (dof) for the four implemented solving methods: three solvers (COCG, BiCGCR, QMR) with

Krylov Subspace Methods for Inverse Problems with Application to Image Restoration.. Mohamed

In Section 4, we define EGA-exp method by using the matrix exponential approximation by extended global Krylov subspaces and quadrature method for computing numerical solution