Regularized solution for a biharmonic equation with discrete data

DOI10.3934/eect.2020008zbMath1439.65135OpenAlexW2964557319WikidataQ127354649 ScholiaQ127354649MaRDI QIDQ777219

Donal O'Regan, Tran Ngoc Thach, Nguyen Huy Tuan

Publication date: 3 July 2020

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2020008

zbMATH Keywords

Cauchy problembiharmonic equationill-posed problemestimatediscrete dataregularized method

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

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Cites Work

• The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation
• Regularized solution of the Cauchy problem for the biharmonic equation
• THE METHOD OF FUNDAMENTAL SOLUTIONS FOR AN INVERSE INTERNAL BOUNDARY VALUE PROBLEM FOR THE BIHARMONIC EQUATION
• Application of radial basis meshless methods to direct and inverse biharmonic boundary value problems
• Modified nonlocal boundary value problem method for an ill-posed problem for the biharmonic equation
• Introduction to nonparametric estimation
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