Concepedia

An approach for robust PDE-constrained optimization with application to shape optimization of electrical engines and of dynamic elastic structures under uncertainty

Philip Kolvenbach, Oliver Lass, Stefan Ulbrich

Optimization and Engineering · 2018 · 27 citations · 50 references

Concepts

Numerical AnalysisEngineeringPde-constrained OptimizationDynamic Elastic StructuresMechanical EngineeringElectrical EnginesMechanical SystemsShape OptimizationNonlinear OptimizationStructural OptimizationComputational MechanicsRobust Pde-constrained OptimizationRobust OptimizationTopology Optimization

References

50

The finite element method. Linear static and dynamic finite element analysis

Thomas Zimmermann · Computer Methods in Applied Mechanics and Engineering · 1987 · 5.1K citations

Numerical Analysis, Finite Element Method, Method Of Fundamental Solution +7

Robust Convex Optimization

Aharon Ben‐Tal, Arkadi Nemirovski · Mathematics of Operations Research · 1998 · 2.6K citations

Mathematical Programming, Engineering, Data Science +12

Free-form deformation of solid geometric models

Thomas W. Sederberg, Scott R. Parry · ACM SIGGRAPH Computer Graphics · 1986 · 2.6K citations · Full text

Geometric Modeling, Engineering, Geometry +14

Theory and Applications of Robust Optimization

DSpace@MIT (Massachusetts Institute of Technology) · 2011 · 2.4K citations · Full text

Mathematical Programming, Data-driven Optimization, Engineering +14

Robust solutions of Linear Programming problems contaminated with uncertain data

Aharon Ben‐Tal, Arkadi Nemirovski · Mathematical Programming · 2000 · 1.7K citations

Mathematical Programming, Data-driven Optimization, Engineering +10