[BOOK][B] Data assimilation: methods, algorithms, and applications
This book places data assimilation (DA) into the broader context of inverse problems and the
theory, methods, and algorithms that are used for their solution. It strives to provide a …
theory, methods, and algorithms that are used for their solution. It strives to provide a …
[BOOK][B] Computational optimization of systems governed by partial differential equations
This book provides an introduction to some modern computational techniques for
optimization problems governed by partial differential equations (PDEs). The optimization …
optimization problems governed by partial differential equations (PDEs). The optimization …
The vertex morphing method for node-based shape optimization
M Hojjat, E Stavropoulou, KU Bletzinger - Computer Methods in Applied …, 2014 - Elsevier
Abstract The Vertex Morphing method, a consistent surface control approach for shape
optimization is presented. This method introduces a control field and a map that relates it to …
optimization is presented. This method introduces a control field and a map that relates it to …
Three-dimensional large-scale aerodynamic shape optimization based on shape calculus
Large-scale three-dimensional aerodynamic shape optimization based on the compressible
Euler equations is considered. Shape calculus is used to derive an exact surface formulation …
Euler equations is considered. Shape calculus is used to derive an exact surface formulation …
Efficient shape optimization for certain and uncertain aerodynamic design
Efficient shape optimization for certain and uncertain aerodynamic design - ScienceDirect
Skip to main contentSkip to article Elsevier logo Journals & Books Help Search My account …
Skip to main contentSkip to article Elsevier logo Journals & Books Help Search My account …
A Riemannian view on shape optimization
VH Schulz - Foundations of Computational Mathematics, 2014 - Springer
Shape optimization based on the shape calculus is numerically mostly performed using
steepest descent methods. This paper provides a novel framework for analyzing shape …
steepest descent methods. This paper provides a novel framework for analyzing shape …
Two-dimensional shape optimization with nearly conformal transformations
In shape optimization it is desirable to obtain deformations of a given mesh without negative
impact on the mesh quality. We propose a new algorithm using least square formulations of …
impact on the mesh quality. We propose a new algorithm using least square formulations of …
AONN-2: An adjoint-oriented neural network method for PDE-constrained shape optimization
PDE-constrained shape optimization has been playing an important role in a large variety of
engineering applications. Traditional mesh-dependent shape optimization methods often …
engineering applications. Traditional mesh-dependent shape optimization methods often …
Large-scale three-dimensional acoustic horn optimization
We consider techniques that enable large-scale gradient-based shape optimization of wave-
guiding devices in the context of three-dimensional time-domain simulations. The approach …
guiding devices in the context of three-dimensional time-domain simulations. The approach …
Gradient-limiting shape control for efficient aerodynamic optimization
Local shape control methods, such as B-spline surfaces, are well-conditioned such that they
allow high-fidelity design optimization; however, this comes at the cost of degraded …
allow high-fidelity design optimization; however, this comes at the cost of degraded …