Separated Representations and Pgd-Based Model Reduction: Fundamentals and Applications

By Francisco Chinesta

Model order reduction based on proper orthogonal decomposition: Model reduction: extracting relevant information.- Interpolation of reduced basis: a geometrical approach.- POD for non-linear models.- Conclusions.- PGD for solving multidimensional and parametric models: Introduction.- Separated representations.- Advanced topics.- Models defined in plate and shell geometries.- Computational vademecums.- PGD in linear and nonlinear Computational Solid Mechanics: Introduction.- PGD -Verification for linear problems (elliptic and parabolic).- PGD for time dependent nonlinear problems (monoscale and multiscale problems).- Reduced basis approximation and error estimation for parameterized elliptic partial differential equations and applications: Introduction and motivation.- Parameterized problems.- High order and reduced order models with reduced basis method: greedy algorithm and a posteriori error estimation.- Applications.- Conclusion.

• Format: Hardcover
• Language: English
• ISBN: 3709117933
• ISBN13: 9783709117934
• Release Date: September 2014
• Publisher: Springer
• Length: 227 Pages
• Weight: 1.41 lbs.
• Dimensions: 0.6" x 6.3" x 9.3"