Adaptive Domain Partitioning and Deformation in Representations for the Wavespeed Using Unstructured Meshes in Full Waveform Inversion
نویسندگان
چکیده
We introduce adaptive domain partitioning, unstructured tetrahedral meshes and their deformation in parametrizations of the wavespeed in full waveform inversion. We develop a two-stage procedure consisting of levelset based segmentation and surface or boundary controlled mesh generation using a current model and residual shape optimization through mesh deformation using the data. The procedure is motivated by available Lipschitz stability estimates for the inverse boundary value problem for the Helmholtz equation, if the wavespeed can be described by piecewise constant functions and a given domain partitioning. We incorporate progressive local mesh refinement based on the gradient in the iterative scheme. We illustrate the procedure with numerical examples.
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