Concepedia

Stabilisation of discrete steady adjoint solvers

Shenren Xu, D. C. Radford, Marcus Meyer, Jens‐Dominik Müller

Journal of Computational Physics · 2015 · 66 citations · 33 references

Open access

Concepts

Natural SciencesComputational EngineeringMathematicsDiscrete MathematicsFinite Element MethodsDiscrete Dynamical SystemsNumerical AlgorithmsNumerical AnalysisNumerical Methods For Differential EquationsNumerical StabilityStability TheoryAdjoint FormulationDifferential Equation SolversStability Of Numerical Schemes

References

33

Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method

Bram van Leer · Journal of Computational Physics · 1979 · 7K citations

Natural Sciences, Computational Engineering, Mathematics +11

Jacobian-free Newton–Krylov methods: a survey of approaches and applications

D. A. Knoll, David E. Keyes · Journal of Computational Physics · 2003 · 1.9K citations

Natural Sciences, Mathematics, Computational Mechanics +11

An Introduction to the Adjoint Approach to Design

Michael B. Giles, Niles A. Pierce · Flow Turbulence and Combustion · 2000 · 967 citations

Arts, Design, Systems Engineering +8

The Tapenade automatic differentiation tool

Laurent Hascoët, Valérie Pascual · ACM Transactions on Mathematical Software · 2013 · 473 citations · Full text

Computing, Computer Engineering, Computer Science +12

Aerodynamic design optimization on unstructured grids with a continuous adjoint formulation

W. Kyle Anderson, V. N. Venkatakrishnan · Computers & Fluids · 1999 · 411 citations

Engineering, Aerospace Engineering, Computational Engineering +15