A finite difference method for the very weak solution to a Cauchy problem for an elliptic equation

DOI10.1515/jiip-2018-0060zbMath1407.65268OpenAlexW2897205603MaRDI QIDQ1755911

Dinh Nho Hào, Le Thi Thu Giang, Sergey I. Kabanikhin, Maxim A. Shishlenin

Publication date: 11 January 2019

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

Full work available at URL: https://doi.org/10.1515/jiip-2018-0060

zbMATH Keywords

regularizationCauchy problemfinite difference schemeill-posed problemselliptic equationvery weak solutionnon-local boundary value problems

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Second-order elliptic equations (35J15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Weak solutions to PDEs (35D30) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

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