Parameter estimation for elliptic equations in multidimensional domains with point and flux observations

DOI10.1016/0362-546X(86)90041-6zbMath0619.35034OpenAlexW1990886347MaRDI QIDQ3755848

Karl Kunisch, Luther W. White

Publication date: 1986

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(86)90041-6

zbMATH Keywords

Dirichlet conditionsflow in porous mediaelastic systemspoint observationsapproximation of parameter identification problemsobservation of fluxuniformly strongly elliptic boundary value problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

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Cites Work

• The stability in L\(^q\) of the L\(^2\)-projection into finite element function spaces
• Linear and quasilinear elliptic equations
• Nonconvex Optimization Problems Depending on a Parameter
• Asymptotic $L^\infty $-Error Estimates for Linear Finite Element Approximations of Quasilinear Boundary Value Problems
• Equivalent Norms for Sobolev Spaces
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