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Jung, Nadine; Patera, Anthony T.; Haasdonk, Bernard; Lohmann, Boris

Model order reduction and error estimation with an application to the parameter-dependent eddy current equation. (English) Zbl 1303.93052

Math. Comput. Model. Dyn. Syst. 17, No. 6, 561-582 (2011).
Summary: In product development, engineers simulate the underlying partial differential equation many times with commercial tools for different geometries. Since the available computation time is limited, we look for reduced models with an error estimator that guarantees the accuracy of the reduced model. Using commercial tools the theoretical methods proposed by G. Rozza et al. [Arch. Comput. Methods Eng. 15, No. 3, 229–275 (2008; Zbl 1304.65251)] lead to technical difficulties. We present how to overcome these challenges and validate the error estimator by applying it to a simple model of a solenoid actuator that is a part of a valve.

Cited in 2 Documents

MSC:

93B11 System structure simplification
93E10 Estimation and detection in stochastic control theory
93C20 Control/observation systems governed by partial differential equations

Keywords:

model order reduction; Krylov subspace method; reduced basis method; a posteriori error estimator; eddy current equation

Citations:

Zbl 1304.65251

Software:

rbMIT
Cite Review PDF
Full Text: DOI Link

References:

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