The Linearized Monotonicity Method for Elastic Waves and the Separation of Material Parameters
Abstract
Abstract. We derive a linearized version of the monotonicity method for shape reconstruction using time harmonic elastic waves. The linearized method provides an efficient version of the method, drastically reducing computation time. Here we show that the linearized method has some additional advantages. The linearized method in particular can be used to obtain additional information on the material parameters, and it is able to partially separate and identify the supports of the Lamé parameters.
Fields of Study & Subjects
Elasticity and Wave Propagation
Ultrasonics and Acoustic Wave Propagation
Numerical methods in inverse problems
Publication details
- Journal / source
- SIAM Journal on Mathematical Analysis
- Volume
- 58
- Issue
- 3
- Pages
- 2031–2066
- Publication date
- 4 May 2026
- Language
- EN