Numerical Optimization of Multifunctional Components
Abstract
Engineering components are increasingly complex in composition and structure and increasingly multifunctional: indeed, it is only through complexity and multifunctionality that we can satisfy the stringent performance requirements associated with critical defense applications. However, these complex, multifunctional systems no longer admit intuitive analysis of trade-off considerations: we must pursue optimization - optimal choice of material, configuration, and deployment - to realize the potential of these new approaches. The essential mathematical enabler - and our focus in this project - is very fast yet reliable prediction of component behavior; armed with the latter, we may then pursue extensive optimization and even real-time adaptive design and control. Critical ingredients of our approach are: (1) reduced-basis approximations to effect significant reduction in state-space dimensionality; (2) a posteriori error bounds to provide rigorous error estimation and control; (3) "offline/online" computational decompositions to permit rapid evaluation of output bounds in the limit of many queries. In this project, we extend our basic methodology to non-coercive, non-affine, non-linear, and "non-elliptic" (parabolic) problems: we may thus now address the full range of disciplines that typically describe actual "thermo structure fluid acoustic electromagnetic" multifunctional components.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 17, 2004
- Accession Number
- ADA428077
Entities
People
- Anthony T. Patera
Organizations
- Massachusetts Institute of Technology