Estimating spatial and parameter error in parameterized nonlinear reaction–diffusion equations

DOI10.1002/cnm.928zbMath1130.65111OpenAlexW1969184926MaRDI QIDQ5435428

Brian R. Carnes, Graham F. Carey

Publication date: 14 January 2008

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.928

zbMATH Keywords

algorithmparameter estimationnumerical examplesadaptive mesh refinementerror estimationfinite elementturning pointa posteriori error estimationpseudo-arclength continuationnonlinear reaction-diffusion problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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Uses Software

• deal.ii
• PITCON

Cites Work

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