22 citations · 47 across the 22 of their papers we have counts for
9 papers · 1 filter
Boundary condition enforcement with PINNs: a comparative study and verification on 3D geometries
Conor Rowan, Kai Hampleman, Kurt Maute +1
Since their advent nearly a decade ago, physics-informed neural networks (PINNs) have been studied extensively as a novel technique for solving forward and inverse problems in phys…
Solving engineering eigenvalue problems with neural networks using the Rayleigh quotient
Conor Rowan, John Evans, Kurt Maute +1
From characterizing the speed of a thermal system's response to computing natural modes of vibration, eigenvalue analysis is ubiquitous in engineering. In spite of this, eigenvalue…
Enriched Immersed Finite Element and Isogeometric Analysis -- Algorithms and Data Structures
Nils Wunsch, Keenan Doble, Mathias R. Schmidt +3
Immersed finite element methods provide a convenient analysis framework for problems involving geometrically complex domains, such as those found in topology optimization and micro…
Interpolation-based immersogeometric analysis methods for multi-material and multi-physics problems
Jennifer E. Fromm, Nils Wunsch, Kurt Maute +2
Immersed boundary methods are high-order accurate computational tools used to model geometrically complex problems in computational mechanics. While traditional finite element meth…
Extended isogeometric analysis of multi-material and multi-physics problems using hierarchical B-splines
Mathias Schmidt, Lise Noel, Keenan Doble +2
This paper presents an immersed, isogeometric finite element framework to predict the response of multi-material, multi-physics problems with complex geometries using locally refin…
Interpolation-based immersed finite element and isogeometric analysis
Jennifer E. Fromm, Nils Wunsch, Ru Xiang +4
We introduce a new paradigm for immersed finite element and isogeometric methods based on interpolating function spaces from an unfitted background mesh into Lagrange finite elemen…
XIGA: An eXtended IsoGeometric Analysis approach for multi-material problems
L. Noel, M. Schmidt, K. Doble +2
Multi-material problems often exhibit complex geometries along with physical responses presenting large spatial gradients or discontinuities. In these cases, providing high-quality…
Adaptive level set topology optimization using hierarchical B-splines
L. Noel, M. Schmidt, C. Messe +2
This paper presents an adaptive discretization strategy for level set topology optimization of structures based on hierarchical B-splines. This work focuses on the influence of the…
A Simple and Efficient Preconditioning Scheme for Heaviside Enriched XFEM
Christapher Lang, David Makhija, Alireza Doostan +1
The eXtended Finite Element Method (XFEM) is an approach for solving problems with non-smooth solutions. In the XFEM, the approximate solution is locally enriched to capture discon…