Time-Adaptive FEM for Distributed Parameter Identification in Biological Models

DOI10.1007/978-1-4614-7816-4_3zbMath1275.92004OpenAlexW2123157938MaRDI QIDQ2863531

Irina Gainova, Larisa Beilina

Publication date: 22 November 2013

Published in: Applied Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-7816-4_3

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) General biology and biomathematics (92B05) Computational methods for problems pertaining to biology (92-08)

Related Items (2)

Time-adaptive determination of drug efficacy in mathematical model of HIV infection ⋮ Time-adaptive FEM for distributed parameter identification in mathematical model of HIV infection with drug therapy

Cites Work

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• Iterative methods for ill-posed problems. An introduction.
• Iterative regularization methods for nonlinear ill-posed problems
• Adaptive finite element methods for the identification of distributed parameters in elliptic equation
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Adaptivity with relaxation for ill-posed problems and global convergence for a coefficient inverse problem
• HIV dynamics: Modeling, data analysis, and optimal treatment protocols
• A Posteriori Error Estimates for Fredholm Integral Equations of the First Kind
• Synthesis of global convergence and adaptivity for a hyperbolic coefficient inverse problem in 3D
• A posteriori error estimates in a globally convergent FEM for a hyperbolic coefficient inverse problem
• Reconstruction of dielectrics from experimental data via a hybrid globally convergent/adaptive inverse algorithm
• Adaptive finite element method for a coefficient inverse problem for Maxwell's system
• Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems
• Adaptive discretizations for the choice of a Tikhonov regularization parameter in nonlinear inverse problems
• An optimal control approach to a posteriori error estimation in finite element methods
• Adaptive finite element methods for the solution of inverse problems in optical tomography
• A posteriori error estimates for the adaptivity technique for the Tikhonov functional and global convergence for a coefficient inverse problem
• A POSTERIORI ERROR ESTIMATION IN COMPUTATIONAL INVERSE SCATTERING
• Relaxation property for the adaptivity for ill-posed problems
• Efficient computation of the Tikhonov regularization parameter by goal-oriented adaptive discretization
• An Adaptive Hybrid FEM/FDM Method for an Inverse Scattering Problem in Scanning Acoustic Microscopy

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