Discrete Adjoint-Based Approach for Optimization Problems on Three-Dimensional Unstructured Meshes

By Dimitri J. Mavriplis. 2007

182 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/a35efc35a9bbbdacefb9b36bad92430dfd56c30a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Joaquim R. Martins
2. Charles A. Mader
3. Gaetan K. W. Kenway
4. Ping He
5. Richard P. Dwight
6. Jacques Peter

In Computational Mechanics

1. Joaquim R. Martins
2. Gaetan K. W. Kenway
3. Charles A. Mader
4. Ping He
5. Jacques Peter
6. Richard P. Dwight
7. John T. Hwang
8. Rhea Patricia Liem

Citations in the corpus

• Effective adjoint approaches for computational fluid dynamics (2019, background): “Xu et al. [26] reported a Jacobian-trained Krylov-implicit Runge–Kutta method to stabilize the flow and adjoint solutions and implemented it in an open source solver STAMPS [27].”
• Numerical sensitivity analysis for aerodynamic optimization: A survey of approaches (2010, methodology): “A further complication is that the Jacobian, despite being a sparse matrix, has typically (depending on the discretization stencil size and the number of flow equations) two orders of magnitude more non-zero entries than a solution vector, and if stored explicitly would represent a memory bottleneck”