Modified nonlocal boundary value problem method for an ill-posed problem for the biharmonic equation

DOI10.1080/17415977.2018.1461859zbMath1471.65178OpenAlexW2801193318WikidataQ129899373 ScholiaQ129899373MaRDI QIDQ4988529

A. Benrabah, Nadjib Boussetila

Publication date: 17 May 2021

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2018.1461859

zbMATH Keywords

a priori estimatesbiharmonic equationregularization methodill-posed problemconvergence estimate

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Ill-posed problems for PDEs (35R25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) A priori estimates in context of PDEs (35B45) Linear operators and ill-posed problems, regularization (47A52) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (5)

A Mathematical Analysis Method for Bending Problem of Clamped Shallow Spherical Shell on Elastic Foundation ⋮ Integral equations method for solving a biharmonic inverse problem in detection of Robin coefficients ⋮ Regularized solution of an ill-posed biharmonic equation ⋮ An approximate solution for a nonlinear biharmonic equation with discrete random data ⋮ Regularized solution for a biharmonic equation with discrete data

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