Numerical analysis perspective in structural shape optimization: A review post 2000
This review presents developments in structural shape optimization post 2000 from
perspective of numerical analysis techniques. Traditional shape optimization with FEM has …
perspective of numerical analysis techniques. Traditional shape optimization with FEM has …
Design-space dimensionality reduction in shape optimization by Karhunen–Loève expansion
The paper presents a methodology to reduce the dimension of design spaces in shape
optimization problems, while retaining a desired level of geometric variance. The method is …
optimization problems, while retaining a desired level of geometric variance. The method is …
Digital twins that learn and correct themselves
Digital twins can be defined as digital representations of physical entities that employ real‐
time data to enable understanding of the operating conditions of these entities. Here we …
time data to enable understanding of the operating conditions of these entities. Here we …
Three-dimensional topology optimization of auxetic metamaterial using isogeometric analysis and model order reduction
We present an approach for designing material micro-structures by using isogeometric
analysis and parameterized level set method. Design variables, which are level set values …
analysis and parameterized level set method. Design variables, which are level set values …
[PDF][PDF] Model order reduction
This chapter presents an overview of Model Order Reduction–a new paradigm in the field of
simulationbased engineering sciences, and one that can tackle the challenges and leverage …
simulationbased engineering sciences, and one that can tackle the challenges and leverage …
Model reduction methods
This chapter presents an overview of model order reduction–a new paradigm in the field of
simulation‐based engineering sciences, and one that can tackle the challenges and …
simulation‐based engineering sciences, and one that can tackle the challenges and …
[HTML][HTML] An overlapping domain decomposition method for the solution of parametric elliptic problems via proper generalized decomposition
A non-intrusive proper generalized decomposition (PGD) strategy, coupled with an
overlapping domain decomposition (DD) method, is proposed to efficiently construct …
overlapping domain decomposition (DD) method, is proposed to efficiently construct …
Proper generalized decomposition for parameterized Helmholtz problems in heterogeneous and unbounded domains: Application to harbor agitation
Solving the Helmholtz equation for a large number of input data in an heterogeneous media
and unbounded domain still represents a challenge. This is due to the particular nature of …
and unbounded domain still represents a challenge. This is due to the particular nature of …
A stochastic finite element scheme for solving partial differential equations defined on random domains
This paper proposes a novel stochastic finite element scheme to solve partial differential
equations defined on random domains. A geometric mapping algorithm first transforms the …
equations defined on random domains. A geometric mapping algorithm first transforms the …
[HTML][HTML] NURBS-based shape parametrization enabling PGD-based space separability: Methodology and application
MJ Kazemzadeh-Parsi, A Pasquale… - Finite Elements in …, 2023 - Elsevier
In the context of MOR techniques for parametrized PDEs, a novel computational method
relying on NURBS-based geometric mappings and PGD-based space separated …
relying on NURBS-based geometric mappings and PGD-based space separated …