Mollified hyperbolic method for coefficient identification problems

DOI10.1016/0898-1221(93)90067-6zbMath0789.65090OpenAlexW1991434512WikidataQ127632664 ScholiaQ127632664MaRDI QIDQ1309731

Diego A. Murio, Carlos E. Mejía

Publication date: 6 January 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(93)90067-6

zbMATH Keywords

regularizationparameter identificationparabolic equationcoefficient identificationstability estimatesmollification methodspace marching implementation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Applications to the sciences (65Z05) Initial value problems for second-order parabolic equations (35K15) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items

Regularization of a nonlinear inverse problem by discrete mollification method ⋮ Numerical identification of diffusivity coefficient and initial condition by discrete mollification ⋮ Discrete mollification in Bernstein basis and space marching scheme for numerical solution of an inverse two-phase one-dimensional Stefan problem ⋮ Identification of parameters in one-dimensional IHCP ⋮ Discrete mollification and automatic numerical differentiation ⋮ Surface fitting and numerical gradient computations by discrete mollification ⋮ Numerical identification of a nonlinear diffusion coefficient by discrete mollification ⋮ On the stable numerical evaluation of Caputo fractional derivatives ⋮ Identification of source terms in 2-D IHCP ⋮ Source term identification in 1-D IHCP ⋮ Stabilization of explicit methods for convection diffusion equations by discrete mollification ⋮ Numerical solution of generalized IHCP by discrete mollification ⋮ A numerical scheme based on discrete mollification method using Bernstein basis polynomials for solving the inverse one-dimensional Stefan problem ⋮ Identification of parameters in the 2-D IHCP ⋮ Simultaneous space diffusivity and source term reconstruction in 2D IHCP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Automatic numerical differentiation by discrete mollification
• An integral solution for the inverse heat conduction problem after the method of Weber
• Analysis and solution of the ill-posed inverse heat conduction problem