Sensitivity Analysis and Inverse Problems for Laminates and Materials

1999 ◽  
pp. 453-463 ◽  
Author(s):  
Pauli Pedersen
Keyword(s):  
Sensitivity Analysis ◽  
Inverse Problems

Sensitivity Analysis and Inverse Problems in Microscale Heat Transfer

2015 ◽  
Vol 362 ◽  
pp. 209-223 ◽  
Author(s):  
Ewa Majchrzak ◽  
Jolanta Dziatkiewicz ◽  
Łukasz Turchan
Keyword(s):  
Heat Transfer ◽  
Sensitivity Analysis ◽  
Inverse Problems ◽  
Initial Conditions ◽  
Short Pulse ◽  
Relaxation Times ◽  
Coupling Factor ◽  
Hyperbolic Model ◽  
Short Pulse Laser ◽  
Microscale Heat Transfer

In the paper the selected problems related to the modeling of microscale heat transfer are presented. In particular, thermal processes occurring in thin metal films exposed to short-pulse laser are described by two-temperature hyperbolic model supplemented by appropriate boundary and initial conditions. Sensitivity analysis of electrons and phonons temperatures with respect to the microscopic parameters is discussed and also the inverse problems connected with the identification of relaxation times and coupling factor are presented. In the final part of the paper the examples of computations are shown.

scholarly journals SGN: Sparse Gauss-Newton for Accelerated Sensitivity Analysis

2022 ◽  
Vol 41 (1) ◽  
pp. 1-10
Author(s):  
Jonas Zehnder ◽  
Stelian Coros ◽  
Bernhard Thomaszewski
Keyword(s):  
Sensitivity Analysis ◽  
Nonlinear Programming ◽  
Inverse Problems ◽  
Convergence Rates ◽  
Optimization Problems ◽  
Sparse Matrix ◽  
Constrained Optimization Problems ◽  
Wide Range ◽  
The Cost ◽  
Problem Setting

We present a sparse Gauss-Newton solver for accelerated sensitivity analysis with applications to a wide range of equilibrium-constrained optimization problems. Dense Gauss-Newton solvers have shown promising convergence rates for inverse problems, but the cost of assembling and factorizing the associated matrices has so far been a major stumbling block. In this work, we show how the dense Gauss-Newton Hessian can be transformed into an equivalent sparse matrix that can be assembled and factorized much more efficiently. This leads to drastically reduced computation times for many inverse problems, which we demonstrate on a diverse set of examples. We furthermore show links between sensitivity analysis and nonlinear programming approaches based on Lagrange multipliers and prove equivalence under specific assumptions that apply for our problem setting.

scholarly journals A New Material Sensitivity Analysis for Electromagnetic Inverse Problems

2011 ◽  
Vol 16 (1) ◽  
pp. 77-82 ◽  
Author(s):  
Jin-Kyu Byun ◽  
Hyang-Beom Lee ◽  
Hyeong-Seok Kim ◽  
Dong-Hun Kim
Keyword(s):  
Sensitivity Analysis ◽  
Inverse Problems ◽  
New Material
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