Optimum Experimental Design for Interface Identification Problems

DOI10.1137/18M1208125zbMath1433.62211arXiv1808.05776OpenAlexW2885542024MaRDI QIDQ5243530

Tommy Etling, Martin Siebenborn, Roland Griesse

Publication date: 18 November 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.05776

zbMATH Keywords

diffusion processoptimum experimental designsensor activationinterface identificationinclusion detection

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Initial-boundary value problems for second-order parabolic equations (35K20) Diffusion processes (60J60)

Uses Software

• Gmsh
• Getfem++
• Algorithm 97

Cites Work

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• A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
• A Riemannian view on shape optimization
• The Floyd-Warshall algorithm on graphs with negative cycles
• Nonlinear programming and variational inequality problems. A unified approach
• A minimax equivalence theorem for optimum bounded design measures
• Design of experiments in nonlinear models. Asymptotic normality, optimality criteria and small-sample properties
• Inverse shape and surface heat transfer coefficient identification
• D-optimal design of a monitoring network for parameter estimation of distributed systems
• Riemannian geometries on spaces of plane curves
• Optimal Design for Nonlinear Response Models
• A-Optimal Design of Experiments for Infinite-Dimensional Bayesian Linear Inverse Problems with Regularized $\ell_0$-Sparsification
• Efficient PDE Constrained Shape Optimization Based on Steklov--Poincaré-Type Metrics
• Optimal Measurement Methods for Distributed Parameter System Identification
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• Optimum experimental design for identification of distributed parameter systems
• An inverse boundary value problem for the heat equation: the Neumann condition
• On the Numerical Solution of a Shape Optimization Problem for the Heat Equation
• Optimal Design of Experiments
• Detecting Interfaces in a Parabolic‐Elliptic Problem from Surface Measurements

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