Scalable shape optimization methods for structured inverse modeling in 3D diffusive processes

DOI10.1007/s00791-015-0248-9zbMath1360.65240OpenAlexW1198646705WikidataQ125768910 ScholiaQ125768910MaRDI QIDQ519082

Gabriel Wittum, Arne Nägel, Martin Siebenborn, Volker H. Schulz

Publication date: 4 April 2017

Published in: Computing and Visualization in Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00791-015-0248-9

zbMATH Keywords

inverse problemsshape optimizationhigh performance optimization

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Biophysics (92C05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Optimization of shapes other than minimal surfaces (49Q10) Cell biology (92C37) Computational methods for problems pertaining to biology (92-08) Inverse problems in optimal control (49N45)

Related Items

Computational comparison of surface metrics for PDE constrained shape optimization, Shape optimization for interface identification with obstacle problems, Structured Inverse Modeling in Parabolic Diffusion Problems, Efficient PDE Constrained Shape Optimization Based on Steklov--Poincaré-Type Metrics, On diffeologies from infinite dimensional geometry to PDE constrained optimization, On diffeologies for power sets and measures, Fluid dynamic shape optimization using self-adapting nonlinear extension operators with multigrid preconditioners, Suitable spaces for shape optimization, Mesh quality preserving shape optimization using nonlinear extension operators, A Continuous Perspective on Shape Optimization via Domain Transformations

Uses Software

• UG4
• libGrid
• libAlgebra
• libDiscretization
• pcl

Cites Work

• A massively parallel geometric multigrid solver on hierarchically distributed grids
• \textit{UG} 4: a novel flexible software system for simulating PDE based models on high performance computers
• Computational Optimization of Systems Governed by Partial Differential Equations
• Structured Inverse Modeling in Parabolic Diffusion Problems
• Mesh deformation using the biharmonic operator
• Unnamed Item