Quasi-solution approach for a two dimensional nonlinear inverse diffusion problem

DOI10.1016/j.amc.2013.05.013zbMath1396.35075OpenAlexW2017467382MaRDI QIDQ482447

Salih Tatar, Süleyman Ulusoy, Yi-Liang Liu

Publication date: 30 December 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.05.013

zbMATH Keywords

direct probleminverse coefficient problemexistence of quasi-solutionnonlinear diffusion problem

Mathematics Subject Classification ID

Diffusion (76R50) Initial-boundary value problems for second-order parabolic equations (35K20) Flows in porous media; filtration; seepage (76S05) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Quasilinear parabolic equations (35K59)

Related Items (4)

Simultaneous inversion for a diffusion coefficient and a spatially dependent source term in the SFADE ⋮ Simultaneous inversion for the exponents of the fractional time and space derivatives in the space-time fractional diffusion equation ⋮ Simultaneous inversion for the fractional exponents in the space-time fractional diffusion equation \(\partial_t^\beta u = -(-\Delta)^{\alpha /2}u -(-\Delta)^{\gamma /2}u\) ⋮ An inverse space-dependent source problem for a multi-term time fractional diffusion equation

Cites Work

• Unnamed Item
• Unnamed Item
• Existence and uniqueness of a solution for a two dimensional nonlinear inverse diffusion problem
• An inverse coefficient problem for a nonlinear parabolic variational inequality
• Inverse coefficient problems for nonlinear parabolic differential equations
• On the solvability of degenerate quasilinear parabolic equations of second order
• Convexity argument for monotone potential operators and its application
• An inverse problem related to the determination of elastoplastic properties of a cylindrical bar
• A numerical method for solving of a nonlinear inverse diffusion problem
• Regularization method with two parameters for nonlinear ill-posed problems
• On doubly degenerate quasilinear parabolic equations of higher order
• Semi-analytic inversion method for the determination of elastoplastic properties of power hardening materials from limited torsional experiment
• An Inverse Problem for a Nonlinear Diffusion Equation
• Monotonicity and Uniqueness Results in Identifying an Unknown Coefficient in a Nonlinear Diffusion Equation
• Browder–Tikhonov regularization of non-coercive evolution hemivariational inequalities
• An adjoint problem approach and coarse-fine mesh method for identification of the diffusion coefficient in a linear parabolic equation
• An inverse problem for a nonlinear diffusion equation

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