Logarithmic Convexity for Discrete Harmonic Functions and the Approximation of the Cauchy Problem for Poisson's Equation

DOI10.2307/2008085zbMath0623.65095OpenAlexW1976848204MaRDI QIDQ3761612

Richard S. Falk, Peter B. Monk

Publication date: 1986

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/96d5bba87dd75f4ec73599efe4d41f7d0568d61a

zbMATH Keywords

stabilitynumerical resultsCauchy problemLaplace equationPoisson equationill-posed problemdiscrete harmonic functionslogarithmic convexityError estimatesleast squares penalty method

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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