Structure of shape derivatives for nonsmooth domains

Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I

Shmuel Agmon, Avron Douglis, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1959 · 3.7K citations

Monge-ampere Equation, Elliptic Equation, Geometric Partial Differential Equation +4

Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

Shmuel Agmon, Avron Douglis, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1964 · 1.3K citations

Monge-ampere Equation, Elliptic Equation, Geometric Partial Differential Equation +4

Shape Sensitivity Analysis via Min Max Differentiability

Michel C. Delfour, J.-P. Zolésio · SIAM Journal on Control and Optimization · 1988 · 92 citations

Mathematical Programming, Engineering, Variational Analysis +20

Velocity Method and Lagrangian Formulation for the Computation of the Shape Hessian

Michel C. Delfour, Jean-Paul Zolésio · SIAM Journal on Control and Optimization · 1991 · 60 citations

On the problems of riblets as a drag reduction device

G. Arumugam, Olivier Pironneau · Optimal Control Applications and Methods · 1989 · 30 citations

Numerical Analysis, Finite Element Method, Engineering +15