Recovering elastic inclusions by shape optimization methods with immersed finite elements
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Publication:2223022
DOI10.1016/j.jcp.2019.109123zbMath1453.74073OpenAlexW2990234860WikidataQ114163507 ScholiaQ114163507MaRDI QIDQ2223022
Tao Lin, Ruchi Guo, Yan Ping Lin
Publication date: 28 January 2021
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2019.109123
inverse problemsshape optimizationelasticity systemsimmersed finite element methodsdiscontinuous Lamé parametersinclusions reconstruction
Finite element methods applied to problems in solid mechanics (74S05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Geometrical methods for optimization problems in solid mechanics (74P20)
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Cites Work
- A locking-free immersed finite element method for planar elasticity interface problems
- Linear and bilinear immersed finite elements for planar elasticity interface problems
- Kohn-Vogelius formulation and topological sensitivity analysis based method for solving geometric inverse problems
- On the inverse problem of identifying Lamé coefficients in linear elasticity
- Reconstruction of inclusions in an elastic body
- A study of design velocity field computation for shape optimal design
- Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients.
- Identification of mechanical properties by displacement field measurement: a variational approach
- Structural optimization using sensitivity analysis and a level-set method.
- Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT
- Electrical impedance tomography using level set representation and total variational regularization
- Identification of geometric shapes and material properties of inclusions in two-dimensional finite bodies by boundary parametrization
- A fixed mesh method with immersed finite elements for solving interface inverse problems
- Sensitivity analysis for fixed-grid shape optimization by using oblique boundary curve approximation
- Eulerian shape design sensitivity analysis and optimization with a fixed grid
- Shape optimization by pursuing diffeomorphisms
- A gradient-based shape optimization scheme using an interface-enriched generalized FEM
- Level-set function approach to an inverse interface problem
- A direct sampling method for electrical impedance tomography
- Detection of flaws in piezoelectric structures using extended FEM
- On the identification of piecewise constant coefficients in optical diffusion tomography by level set
- A Variational Approach for Estimating the Compliance of the Cardiovascular Tissue: An Inverse Fluid-Structure Interaction Problem
- A level-set approach for inverse problems involving obstacles Fadil SANTOSA
- A numerical methodology to assess the quality of the design velocity field computation methods in shape sensitivity analysis
- Level set methods for geometric inverse problems in linear elasticity
- A direct sampling method to an inverse medium scattering problem
- Conformal mapping and inverse conductivity problem with one measurement
- Three-dimensional immersed finite element methods for electric field simulation in composite materials
- Approximate Shape Gradients for Interface Problems
- Detection and quantification of flaws in structures by the extended finite element method and genetic algorithms
- Calculating tissue shear modulus and pressure by 2D log-elastographic methods
- XFEM-based crack detection scheme using a genetic algorithm
- Level set reconstruction of conductivity and permittivity from boundary electrical measurements using experimental data
- Relaxation of a variational method for impedance computed tomography
- An Interior Penalty Finite Element Method with Discontinuous Elements
- An inverse method for determining elastic material properties and a material interface
- Regularization of Ill-Posed Problems Via the Level Set Approach
- Inverse scattering for elastic plane cracks
- Inverse Conductivity Problem with One Measurement: Uniqueness of Balls in $\Bbb R^3$
- Levenberg–Marquardt level set methods for inverse obstacle problems
- Higher-Order Moving Mesh Methods for PDE-Constrained Shape Optimization
- Detecting an Inclusion in an Elastic Body by Boundary Measurements
- Numerical size estimates of inclusions in elastic bodies
- Inverse problems in elasticity
- A convergent adaptive finite element method for electrical impedance tomography
- Introduction to Shape Optimization
- An analysis of electrical impedance tomography with applications to Tikhonov regularization
- On the Numerical Solution of a Shape Optimization Problem for the Heat Equation
- Can a finite element method perform arbitrarily badly?
- Approximation capabilities of immersed finite element spaces for elasticity Interface problems
- A Higher Degree Immersed Finite Element Method Based on a Cauchy Extension for Elliptic Interface Problems
- Mathematical Methods in Elasticity Imaging
- Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems
- Cavity identification in linear elasticity and thermoelasticity
- An Explicit Update Scheme for Inverse Parameter and Interface Estimation of Piecewise Constant Coefficients in Linear Elliptic PDEs
- The Mathematical Theory of Finite Element Methods
- A survey on level set methods for inverse problems and optimal design
- On the inverse conductivity problem with one measurement
- An introduction to the adjoint approach to design
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