An equilibrated fluxes approach to the certified descent algorithm for shape optimization using conforming finite element and discontinuous Galerkin discretizations
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Publication:1747641
DOI10.1007/s10915-017-0545-1zbMath1388.49046arXiv1611.03391OpenAlexW3106307320MaRDI QIDQ1747641
Publication date: 26 April 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.03391
shape optimizationconforming finite elementelectrical impedance tomographya-posteriori error estimatorequilibrated fluxescertified descent algorithmdiscontinuous Galerkin discretrization
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Optimization of shapes other than minimal surfaces (49Q10) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)
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Anisotropic mesh adaptation for region-based segmentation accounting for image spatial information ⋮ Hybrid coupling of CG and HDG discretizations based on Nitsche's method ⋮ A high order discontinuous Galerkin method for the recovery of the conductivity in electrical impedance tomography ⋮ Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM
Uses Software
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