We have developed a flexible Discontinuous Galerkin (DG) toolkit for full-wave inversion (FWI) that operates on unstructured non-affine meshes using a variety of element types (quadrilateral, triangular, hexahedral). The code handles spatially-variable polynomial-order across the mesh, and includes two approaches: modal DG with exact adjoints and gradients, and spectral DG which, though computationally faster, has approximate adjoints and gradients. In this paper, we show that high-quality full wave inversion results are obtained using both the modal DG and the approximate spectral DG approaches. A 3D inversion of field data using spectral-element DG will be presented in the talk.


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