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20132026
most citedInterpolation-based immersed finite element and isogeometric analysis

22 citations · 47 across the 22 of their papers we have counts for

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10 papers · 1 filter

math.OC2026

Learning Gradient Flow: Using Equation Discovery to Accelerate Engineering Optimization

Grant Norman, Conor Rowan, Kurt Maute +1

In this work, we investigate the use of data-driven equation discovery for dynamical systems to model and forecast continuous-time dynamics of unconstrained optimization problems.…

math.OC2021★ 1 cited

Topology Optimization under Microscale Uncertainty using Stochastic Gradients

Subhayan De, Kurt Maute, Alireza Doostan

This paper considers the design of structures made of engineered materials, accounting for uncertainty in material properties. We present a topology optimization approach that opti…

math.OC2021

Minimum Feature Size Control in Level Set Topology Optimization via Density Fields

Jorge L. Barrera, Markus J. Geiss, Kurt Maute

A level set topology optimization approach that uses an auxiliary density field to nucleate holes during the optimization process and achieves minimum feature size control in optim…

math.OC2021★ 1 cited

Reliability-based Topology Optimization using Stochastic Gradients

Subhayan De, Kurt Maute, Alireza Doostan

This paper addresses the computational challenges in reliability-based topology optimization (RBTO) of structures associated with the estimation of statistics of the objective and…

math.OC2019★ 3 cited

Bi-fidelity Stochastic Gradient Descent for Structural Optimization under Uncertainty

Subhayan De, Kurt Maute, Alireza Doostan

The presence of uncertainty in material properties and geometry of a structure is ubiquitous. The design of robust engineering structures, therefore, needs to incorporate uncertain…

math.OC2019

Hole Seeding in Level Set Topology Optimization via Density Fields

Jorge L. Barrera, Markus J. Geiss, Kurt Maute

Two approaches that use a density field for seeding holes in level set topology optimization are proposed. In these approaches, the level set field describes the material-void inte…

math.OC2019★ 5 cited

Topology Optimization under Uncertainty using a Stochastic Gradient-based Approach

Subhayan De, Jerrad Hampton, Kurt Maute +1

Topology optimization under uncertainty (TOuU) often defines objectives and constraints by statistical moments of geometric and physical quantities of interest. Most traditional TO…

math.OC2017★ 2 cited

CutFEM topology optimization of 3D laminar incompressible flow problems

Hernan Villanueva, Kurt Maute

This paper studies the characteristics and applicability of the CutFEM approach as the core of a robust topology optimization framework for 3D laminar incompressible flow and speci…

math.OC2017★ 1 cited

Level set shape and topology optimization of finite strain bilateral contact problems

Matthew Lawry, Kurt Maute

This paper presents a method for the optimization of multi-component structures comprised of two and three materials considering large motion sliding contact and separation along i…

math.OC2014

Density and Level Set-XFEM Schemes for Topology Optimization of 3-D Structures

Carlos H. Villanueva, Kurt Maute

As the capabilities of additive manufacturing techniques increase, topology optimization provides a promising approach to design geometrically sophisticated structures which can be…