LSPG

Preconditioned least-squares Petrov–Galerkin reduced order models

This work proposes a preconditioning strategy for the least-squares Petrov–Galerkin (LSPG) reduced-order model. Preconditioning is critical for ensuring that the LSPG method produces accurate reduced-order models, particularly when the full-order …

Domain-decomposition least-squares Petrov–Galerkin (DD-LSPG) nonlinear model reduction

This work proposes a domain-decomposition approach for the least-squares Petrov–Galerkin (LSPG) reduced-order model. The DD-LSPG method enables reduced-order models to be constructed independently on subdomains of the computational domain, which …

Model reduction for steady hypersonic aerodynamics via conservative manifold least-squares Petrov–Galerkin projection

This work proposes a conservative manifold least-squares Petrov–Galerkin (LSPG) projection approach for model reduction of steady hypersonic aerodynamics. Hypersonic flows exhibit complex physics including shock waves, boundary layers, and …