The idea of homotopy methods is to continuously connect the problem of interest with a simpler problem and to follow the corresponding solution path by a predictor-corrector scheme. We use a shape-Newton method as a corrector and arbitrary order shape derivatives for the predictor.
May 6, 2024
Homotopy is a kind of topology that gives more general ideas of presenting invariant properties of geometrical objects and is further expanded to conceptual ...
Oct 28, 2024 · Homotopy is a kind of topology that gives more general ideas of preserving invariant properties of geometrical objects and is further expanded ...
We introduce a new method of shape modeling using homotopy and object-oriented modeling. Homotopy is a kind of topology that gives more general ideas of ...
We introduce a new method of shape modeling using homotopy and object-oriented modeling. Homotopy is a kind of topology that gives more general ideas of ...
May 6, 2024 · The idea of homotopy methods is to continuously connect the problem of interest with a simpler problem and to follow the corresponding solution ...
Nov 13, 2021 · The term “model” in model category comes from the idea that a model category models a homotopy theory.
Homotopy theory is a branch of algebraic topology that studies spaces and their continuous transformations, focusing on the idea that spaces can be deformed ...
May 6, 2024 · In this section, we apply the concepts of homotopy methods introduced in Section 2 to the setting of solving shape optimization problems rather ...
Bibliographic details on Shape Modeling Using Homotopy.