| Autor: |
BARKER, ANDREW T., GELEVER, STEPHAN V., LEE, CHAK S., OSBORN, SARAH V., VASSILEVSKI, PANAYOT S. |
| Předmět: |
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| Zdroj: |
SIAM Journal on Scientific Computing; 2021, Vol. 43 Issue 4, pA2737-A2765, 29p |
| Abstrakt: |
We extend previously developed two-level coarsening procedures for graph Laplacian problems written in a mixed saddle point form to the fully recursive multilevel case. The resulting hierarchy of discretizations gives rise to a hierarchy of upscaled models, in the sense that they provide approximation in the natural norms (in the mixed setting). This property enables us to utilize them in three applications: (i) as an accurate reduced model, (ii) as a tool in multilevel Monte Carlo simulations (in application to finite volume discretizations), and (iii) for providing a sequence of nonlinear operators in a full approximation scheme for solving nonlinear pressure equations discretized by the conservative two-point flux approximation. We illustrate the potential of the proposed multilevel technique in all three applications on a number of popular benchmark problems used in reservoir simulation. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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