Computational inverse problems for partial differential equations. Abstracts from the workshop held May 14--20, 2017
type: Item
instance of: scholarly article
title: Computational inverse problems for partial differential equations. Abstracts from the workshop held May 14--20, 2017
zbMATH Open document ID: 1390.00076
DOI: 10.4171/OWR/2017/24
published in: Oberwolfach Reports
publication date: 2018-06-22T00:00:00Z
review text: Summary: The problem of determining unknown quantities in a PDE from measurements of (part of) the solution to this PDE arises in a wide range of applications in science, technology, medicine, and finance. The unknown quantity may e.g. be a coefficient, an initial or a boundary condition, a source term, or the shape of a boundary. The identification of such quantities is often computationally challenging and requires profound knowledge of the analytical properties of the underlying PDE as well as numerical techniques. The focus of this workshop was on applications in phase retrieval, imaging with waves in random media, and seismology of the Earth and the Sun, a further emphasis was put on stochastic aspects in the context of uncertainty quantification and parameter identification in stochastic differential equations. Many open problems and mathematical challenges in application fields were addressed, and intensive discussions provided an insight into the high potential of joining deep knowledge in numerical analysis, partial differential equations, and regularization, but also in mathematical statistics, homogenization, optimization, differential geometry, numerical linear algebra, and variational analysis to tackle these challenges.
Mathematics Subject Classification ID: 00B05
Mathematics Subject Classification ID: 00B25
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 65J20
Mathematics Subject Classification ID: 65J22
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 86A15
Mathematics Subject Classification ID: 86A22
Mathematics Subject Classification ID: 35-06
Mathematics Subject Classification ID: 65-06
zbMATH DE Number: 6893098
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/owr/2017/24
OpenAlex ID: W2765740117
description: scientific article; zbMATH DE number 6893098