Tikhonov Regularization and Terrain-Relative Coordinate Mapping for Inhomogeneous Helmholtz Systems

Documents

• Computational Models
• Snippets
• A guide on solving ill-posed Helmholtz Cauchy inverse problems in subterranean radar and seismic imaging.

Exploration Frontiers

• Scalar Wave Assumption -> Vector Wave Equations
• Single-Frequency Back-Propagation -> Full Waveform Inversion (FWI)
• Deterministic Tikhonov Penalty -> Bayesian Inversion
• Sinusoidal Coordinate Mapping -> 3D Spatial Scaling & Unstructured Meshing

Relevant Documents: Analyze Flux and Laplacian of The Yukawa Potential