Iterative methods for solving a nonlinear boundary inverse problem in glaciology

DOI10.1515/JIIP.2009.018zbMath1173.35718MaRDI QIDQ3632731

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Publication date: 12 June 2009

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Matrix and operator functional equations (39B42)

Related Items (15)

Carleman weight functions for a globally convergent numerical method for ill-posed Cauchy problems for some quasilinear PDEs ⋮ Stability estimate for an inverse problem in glaciology ⋮ An efficient D-N alternating algorithm for solving an inverse problem for Helmholtz equation ⋮ An alternating iterative method for solving the Cauchy problem for the Helmholtz equation in Interior multiply connected domain ⋮ Robin-Dirichlet alternating iterative procedure for solving the Cauchy problem for Helmholtz equation in an unbounded domain ⋮ An effective relaxed alternating procedure for Cauchy problem connected with Helmholtz Equation ⋮ Fast reconstruction of harmonic functions from Cauchy data using integral equation techniques ⋮ Adaptive mesh techniques based on a posteriori error estimates for an inverse Cauchy problem ⋮ Bedrock topography reconstruction of glaciers from surface topography and mass-balance data ⋮ Fast reconstruction of harmonic functions from Cauchy data using the Dirichlet-to-Neumann map and integral equations ⋮ An alternating iterative procedure for the Cauchy problem for the Helmholtz equation ⋮ On the Alternating Method for Cauchy Problems and Its Finite Element Discretisation ⋮ Carleman estimates for the regularization of ill-posed Cauchy problems ⋮ The Cauchy problem for a nonlinear elliptic equation: Nash-game approach and application to image inpainting ⋮ Numerical Method for Solving an Inverse Boundary Problem with Unknown Initial Conditions for Parabolic PDE Using Discrete Regularization

Cites Work

• An iterative boundary element algorithm for a singular Cauchy problem in linear elasticity
• An alternating iterative algorithm for the Cauchy problem associated to the Helmholtz equation
• A procedure for the temperature reconstruction in corner domains from Cauchy data
• A strongly nonlinear problem arising in glaciology
• A comparison of different regularization methods for a Cauchy problem in anisotropic heat conduction
• Interpolation for Function Spaces Related to Mixed Boundary Value Problems
• An iterative procedure for solving a Cauchy problem for second order elliptic equations

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