Information:
Computational fluid dynamics (CFD) simulations can generate linear systems with unknowns. Direct methods like LU require time and memory. Iterative methods like GMRES require time for iterations and memory.
A CFD simulation has variables. The workstation has 128 GB RAM. Can LU decomposition be used?

Question

Information: 
 Computational fluid dynamics (CFD) simulations can generate linear systems with    unknowns. Direct methods like LU require    time and    memory. Iterative methods like GMRES require    time for    iterations and    memory. 
A CFD simulation has    variables. The workstation has 128 GB RAM. Can LU decomposition be used?

Answer

No, because LU decomposition is numerically unstable for

Answer

Yes, LU works if we use block decomposition to fit data in cache

Answer

Yes, LU is practical here because iterative methods converge more slowly

Answer

No, because LU decomposition cannot handle CFD-type sparse systems at all

Answer

Yes, modern SSDs provide virtual memory sufficient for petabyte-scale matrices

Answer

No, dense storage needs    TB and    FLOPs are prohibitive

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