A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems. (English) Zbl 1235.74352
Summary: A novel model reduction technique for static systems is presented. The method is developed using a goal-oriented framework, and it extends the concept of snapshots for proper orthogonal decomposition (POD) to include (sensitivity) derivatives of the state with respect to system input parameters. The resulting reduced-order model generates accurate approximations due to its goal-oriented construction and the explicit ’training’ of the model for parameter changes. The model is less computationally expensive to construct than typical POD approaches, since efficient multiple right-hand side solvers can be used to compute the sensitivity derivatives. The effectiveness of the method is demonstrated on a parameterized aerospace structure problem.
MSC:
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
Keywords:
proper orthogonal decomposition; model reduction; sensitivity analysis; goal-oriented; static systemsReferences:
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