Stable numerical solution of the Cauchy problem for the Laplace equation in irregular annular regions

DOI10.1002/NUM.22159zbMath1383.65118OpenAlexW2606264085WikidataQ115398017 ScholiaQ115398017MaRDI QIDQ4603152

D. A. León-Velasco, Jose Jacobo Oliveros Oliveros, Lorenzo Héctor Juárez Valencia, Jose Julio Conde Mones

Publication date: 19 February 2018

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22159

zbMATH Keywords

stabilityoptimal controlinverse problemerror estimatesCauchy problemnumerical examplesfinite element approximationLaplace equationill-posed problemconjugate gradientboundary control problem

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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