Mesh refinement and numerical sensitivity analysis for parameter calibration of partial differential equations

DOI10.1016/j.jcp.2004.12.018zbMath1082.65130OpenAlexW2151325878MaRDI QIDQ1780617

Boris Vexler, Roland Becker

Publication date: 13 June 2005

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.12.018

zbMATH Keywords

Galerkin methodparameter estimationsensitivity analysisadaptive mesh refinementHilbert spacesleast squareserror estimatormeasurement errorsdiscretizaton errors

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Variational methods for second-order elliptic equations (35J20)

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