Publications related to The role of PDE-based parameterization techniques in gradient-based IGA shape optimization applications

The effect of smooth parametrizations on nonconvex optimization landscapes

We develop new tools to study landscapes in nonconvex optimization. Given one optimization problem, we pair it with another by smoothly parametrizing the domain. This is either for practical purposes (e.g., to use smooth optimization algorithms with good g ...

Springer Heidelberg2024

Robust mass lumping and outlier removal strategies in isogeometric analysis

Annalisa Buffa, Espen Sande, Yannis Dirk Voet

Mass lumping techniques are commonly employed in explicit time integration schemes for problems in structural dynamics and both avoid solving costly linear systems with the consistent mass matrix and increase the critical time step. In isogeometric analysi ...

2024

A cut-cell method for the numerical simulation of 3D multiphase flows with strong interfacial effects

Marco Picasso, Alexandre Caboussat, Alexandre Masserey, Julien Hess

We present a numerical model for the approximation of multiphase flows with free surfaces and strong interfacial effects. The model relies on the multiphase incompressible Navier-Stokes equations, and includes surface tension effects on the interfaces betw ...

Academic Press Inc Elsevier Science2024

The time-domain Cartesian multipole expansion of electromagnetic fields

Marcos Rubinstein, Farhad Rachidi-Haeri, Elias Per Joachim Le Boudec, Chaouki Kasmi, Nicolas Mora Parra, Emanuela Radici

Time-domain solutions of Maxwell’s equations in homogeneous and isotropic media are paramount to studying transient or broadband phenomena. However, analytical solutions are generally unavailable for practical applications, while numerical solutions are co ...

2024

Reliable data-driven decision-making through optimal transport

Bahar Taskesen

Decision-making permeates every aspect of human and societal development, from individuals' daily choices to the complex decisions made by communities and institutions. Central to effective decision-making is the discipline of optimization, which seeks the ...

EPFL2024

Contemporary Logic Synthesis: with an Application to AQFP Circuit Optimization

Siang-Yun Lee

Electronic devices play an irreplaceable role in our lives. With the tightening time to market, exploding demand for computing power, and continuous desire for smaller, faster, less energy-consuming, and lower-cost chips, computer-aided design for electron ...

EPFL2024

Mesh-based topology, shape and sizing optimization of ribbed plates

In this paper, we present a new parameterization and optimization procedure for minimizing the weight of ribbed plates. The primary goal is to reduce embodied CO2 in concrete floors as part of the effort to diminish the carbon footprint of the construction ...

Springer2024

Error assessment of an adaptive finite elements-neural networks method for an elliptic parametric PDE

Marco Picasso, Alexandre Caboussat, Maude Girardin

We present a finite elements-neural network approach for the numerical approximation of parametric partial differential equations. The algorithm generates training data from finite element simulations, and uses a data -driven (supervised) feedforward neura ...

Lausanne2024

Roger F. Harrington and the Method of Moments: Part 2: Electrodynamics

The method of moments (MOM), as introduced by Roger F. Harrington more than 50 years ago, is reviewed in the context of the classic potential integral equation (IE) formulations applied to both electrostatic (part 1) and electrodynamic or full-wave problem ...

Piscataway2024

Leveraging Continuous Time to Understand Momentum When Training Diagonal Linear Networks

Nicolas Henri Bernard Flammarion, Hristo Georgiev Papazov, Scott William Pesme

In this work, we investigate the effect of momentum on the optimisation trajectory of gradient descent. We leverage a continuous-time approach in the analysis of momentum gradient descent with step size

\gamma

and momentum parameter

\beta

that allows u ...

2024

The role of PDE-based parameterization techniques in gradient-based IGA shape optimization applications

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The effect of smooth parametrizations on nonconvex optimization landscapes

Robust mass lumping and outlier removal strategies in isogeometric analysis

A cut-cell method for the numerical simulation of 3D multiphase flows with strong interfacial effects

The time-domain Cartesian multipole expansion of electromagnetic fields

Reliable data-driven decision-making through optimal transport

Contemporary Logic Synthesis: with an Application to AQFP Circuit Optimization

Mesh-based topology, shape and sizing optimization of ribbed plates

Error assessment of an adaptive finite elements-neural networks method for an elliptic parametric PDE

Roger F. Harrington and the Method of Moments: Part 2: Electrodynamics

Leveraging Continuous Time to Understand Momentum When Training Diagonal Linear Networks

The effect of smooth parametrizations on nonconvex optimization landscapes

Robust mass lumping and outlier removal strategies in isogeometric analysis

A cut-cell method for the numerical simulation of 3D multiphase flows with strong interfacial effects

The time-domain Cartesian multipole expansion of electromagnetic fields

Reliable data-driven decision-making through optimal transport

Contemporary Logic Synthesis: with an Application to AQFP Circuit Optimization

Mesh-based topology, shape and sizing optimization of ribbed plates

Error assessment of an adaptive finite elements-neural networks method for an elliptic parametric PDE

Roger F. Harrington and the Method of Moments: Part 2: Electrodynamics

Leveraging Continuous Time to Understand Momentum When Training Diagonal Linear Networks