Identification of uncertainties in the shape of geophysical objects with level sets and the adjoint method
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Publication:416075
DOI10.1007/s10596-011-9242-6zbMath1237.86006OpenAlexW1971378296MaRDI QIDQ416075
Michael Herty, Marek Behr, Volker Rath, Dimitris Papadopoulos
Publication date: 9 May 2012
Published in: Computational Geosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10596-011-9242-6
Inverse problems in geophysics (86A22) Computational methods for problems pertaining to geophysics (86-08) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
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Cites Work
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- The flexible, extensible and efficient toolbox of level set methods
- Sensitivity of optimal shapes of artificial grafts with respect to flow parameters
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
- Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients.
- A framework for the construction of level set methods for shape optimization and reconstruction
- Incorporating topological derivatives into level set methods.
- Structural optimization using sensitivity analysis and a level-set method.
- ``Color level sets: A multi-phase method for structural topology optimization with multiple materials.
- Structural boundary design via level set and immersed interface methods
- Electrical impedance tomography using level set representation and total variational regularization
- A level set method for structural topology optimization.
- Recent progress on reservoir history matching: a review
- Shape reconstruction of buried obstacles by controlled evolution of a level set: from a min-max formulation to numerical experimentation
- Non‐linear flow in fractured rock
- Level-set function approach to an inverse interface problem
- A level set method for inverse problems
- Shape inversion from TM and TE real data by controlled evolution of level sets
- A level-set approach for inverse problems involving obstacles Fadil SANTOSA
- Level set methods for geometric inverse problems in linear elasticity
- Level set methods for inverse scattering—some recent developments
- Reconstruction of a two-dimensional binary obstacle by controlled evolution of a level-set
- Numerical Optimization
- Identification of Discontinuous Coefficients in Elliptic Problems Using Total Variation Regularization
- A shape reconstruction method for electromagnetic tomography using adjoint fields and level sets
- Inverse Problem Theory and Methods for Model Parameter Estimation
- On Parameter Estimation Using Level Sets
- Level set methods for inverse scattering
- A Simplex Method for Function Minimization
- A survey on level set methods for inverse problems and optimal design
- Level set methods: An overview and some recent results
- Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum
- An introduction to the adjoint approach to design
