Inverse Problems and Model Validation and Interpretation

From Forward to Inverse Problems 
• Why inverse problems are ill-posed 
• How perturbation methods regularize inverse identification 
Material Identification via Indentation 
• Mapping effective indentation modulus to depth-dependent shear modulus 
• Sensitivity to grading profiles 
• Limitations and assumptions of the approach 
Validation and Interpretation of Asymptotic Models 
• Consistency checks and scaling arguments 
• Role of perturbation methods in model reduction

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