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Rozza G. Real Time Reduced Order Computational Mechanics. Parametric PDEs...2024

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Added: 2025-03-10 23:38:56

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Textbook in PDF format Preface A Short Introduction to Reduced Basis Method Worked Out Problems for Beginners: Steady Cases Worked Out Problem 1: Steady Heat Conduction in a Thermal Block Worked Out Problem 2: A Linear Elasticity Problem on a Square Worked Out Problem 3: Thermal Transfer Problem in a Parametrized Geometry Worked Out Problem 4: A Transport Problem for the 2D Graetz Flow Worked Out Problem 5: Heat Conduction with Gaussian Flux Advanced Worked Out Problems: Time Dependent and Nonlinear Cases Worked Out Problem 6: Unsteady Heat Conduction in a Thermal Block Worked Out Problem 7: A Nonlinear Elliptic Problem Worked Out Problem 8: A Nonlinear Parabolic FitzHugh–Nagumo Problem Real-Life Worked Out Problems: Engineering Applications Worked Out Problem 9: A Thermal Conduction Problem Through an Extended Surface Worked Out Problem 10: An Idealized Contact Problem in Linear Elasticity with Friction Worked Out Problem 11: A Linear Elasticity Application on a Beam Bridge Fluid Dynamics Worked Out Problems Worked Out Problem 12: Navier-Stokes System for a Backward-Facing Step Worked Out Problem 13: Bifurcating Coanda Effect in a Channel Worked Out Problem 14: Unsteady Navier-Stokes Equations for Vortex Shedding Behind a Cylinder More Advanced Worked Out Problems Worked Out Problem 15: Stabilized Reduced Method for an Advection Dominated Problem Worked Out Problem 16: A Parametrized Elliptic Optimal Control Problem Worked Out Problem 17: Uncertainty Quantification for a Stochastic Thermal Block