Adjoint sensitivity analysis for time-dependent partial differential equations with adaptive mesh refinement

DOI10.1016/j.jcp.2003.01.001zbMath1052.65089OpenAlexW2171997641MaRDI QIDQ1877115

Shengtai Li, Linda R. Petzold

Publication date: 16 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2003.01.001

zbMATH Keywords

numerical examplesadaptive mesh refinementSensitivity analysisAdjoint method

Mathematics Subject Classification ID

Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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Uses Software

• ADIFOR
• TAMC
• TAF
• FLASH

Cites Work

• Adaptive mesh refinement for hyperbolic partial differential equations
• A general optimization method using adjoint equation for solving multidimensional inverse heat conduction
• Aerodynamic design via control theory
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• Recipes for adjoint code construction
• ICIAM/GAMM 95 Applied sciences, especially Mechanics Contributed Lecture and Poster Presentations
• Adjoint Sensitivity Analysis for Differential-Algebraic Equations: The Adjoint DAE System and Its Numerical Solution
• Adaptive algorithms for optimal control of time‐dependent partial differential‐algebraic equation systems
• A Differentiation Index for Partial Differential-Algebraic Equations
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