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

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

Hardcover

Series: CISM International Centre for Mechanical Sciences, Book 554

Technology & EngineeringGeneral Computers

ISBN10: 3709117933
ISBN13: 9783709117934
Publisher: Springer Nature
Published: Sep 23 2014
Pages: 227
Weight: 1.41
Height: 0.60 Width: 6.30 Depth: 9.30
Language: English
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.

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