80 citations · 592 across the 38 of their papers we have counts for
41 papers
IQFEM: A quantum finite element method for heterogeneous problems with immersed boundaries
Shehara Perera, Yiren Wang, Fehmi Cirak
Quantum computing offers the potential to solve computational mechanics problems with a more favourable complexity scaling than classically possible. To realise this potential, a q…
A Quantum Spectral Solver for Periodic Incompressible Stokes Flow
Juan M. Gimenez, Fehmi Cirak, Michael Ortiz
We present a quantum spectral solver for the steady incompressible Stokes equations on a two-dimensional periodic domain. The method uses the Quantum Fourier Transform as a coheren…
Statistical finite elements for sequential data synthesis in solid dynamics
Igor Kavrakov, Yaswanth Sai Jetti, Ahmet Oguzhan Yuksel +1
We present an approach for synthesising observational data with elastodynamic finite element models by extending the statistical finite element method (statFEM) framework. The prop…
Neural parametric representations for thin-shell shape optimisation
Xiao Xiao, Fehmi Cirak
Shape optimisation of thin-shell structures requires a flexible, differentiable geometric representation suitable for gradient-based optimisation. We propose a neural parametric ge…
QAFE: Quantum accelerated multiscale finite element analysis
Yiren Wang, Michael Ortiz, Fehmi Cirak
The computational cost of concurrent multiscale finite element methods is dominated by the repeated solution of microscopic representative volume element (RVE) problems at macrosco…
A Quantum Spectral Method for Non-Periodic Boundary Value Problems
Eky Febrianto, Yiren Wang, Burigede Liu +2
Quantum computing holds the promise of solving computational mechanics problems in polylogarithmic time, meaning computational time scales as , where i…
Unsupervised Constitutive Model Discovery from Sparse and Noisy Data
Vahab Knauf Narouie, Jorge-Humberto Urrea-Quintero, Fehmi Cirak +1
Recently, unsupervised constitutive model discovery has gained attention through frameworks based on the Virtual Fields Method (VFM), most prominently the EUCLID approach. However,…
Bayesian buckling load optimisation for structures with geometric uncertainties
Tianyi Liu, Xiao Xiao, Fehmi Cirak
Optimised lightweight structures, such as shallow domes and slender towers, are prone to sudden buckling failure because geometric uncertainties/imperfections can lead to a drastic…
Multi-view Bayesian optimisation in an input-output reduced space for engineering design
Thomas A. Archbold, Ieva Kazlauskaite, Fehmi Cirak
Bayesian optimisation is an adaptive sampling strategy for constructing a Gaussian process surrogate to efficiently search for the global minimum of a black-box computational model…
Mechanical State Estimation with a Polynomial-Chaos-Based Statistical Finite Element Method
Vahab Narouie, Henning Wessels, Fehmi Cirak +1
The Statistical Finite Element Method (statFEM) offers a Bayesian framework for integrating computational models with observational data, thus providing improved predictions for st…
Variational Bayesian surrogate modelling with application to robust design optimisation
Thomas A. Archbold, Ieva Kazlauskaite, Fehmi Cirak
Surrogate models provide a quick-to-evaluate approximation to complex computational models and are essential for multi-query problems like design optimisation. The inputs of curren…
Point collocation with mollified piecewise polynomial approximants for high-order partial differential equations
Dewangga Alfarisy, Lavi Zuhal, Michael Ortiz +2
The solution approximation for partial differential equations (PDEs) can be substantially improved using smooth basis functions. The recently introduced mollified basis functions a…
A three-grid high-order immersed finite element method for the analysis of CAD models
Eky Febrianto, Jakub Sistek, Pavel Kus +2
The automated finite element analysis of complex CAD models using boundary-fitted meshes is rife with difficulties. Immersed finite element methods are intrinsically more robust bu…
Towards Quantum Computational Mechanics
Burigede Liu, Michael Ortiz, Fehmi Cirak
The advent of quantum computers, operating on entirely different physical principles and abstractions from those of classical digital computers, sets forth a new computing paradigm…
Robust topology optimisation of lattice structures with spatially correlated uncertainties
Ismael Ben-Yelun, Ahmet Oguzhan Yuksel, Fehmi Cirak
The uncertainties in material and other properties of structures are usually spatially correlated. We introduce an efficient technique for representing and processing spatially cor…
Stochastic PDE representation of random fields for large-scale Gaussian process regression and statistical finite element analysis
Kim Jie Koh, Fehmi Cirak
The efficient representation of random fields on geometrically complex domains is crucial for Bayesian modelling in engineering and machine learning. Today's prevalent random field…
Random Grid Neural Processes for Parametric Partial Differential Equations
Arnaud Vadeboncoeur, Ieva Kazlauskaite, Yanni Papandreou +3
We introduce a new class of spatially stochastic physics and data informed deep latent models for parametric partial differential equations (PDEs) which operate through scalable va…
Fully probabilistic deep models for forward and inverse problems in parametric PDEs
Arnaud Vadeboncoeur, Ömer Deniz Akyildiz, Ieva Kazlauskaite +2
We introduce a physics-driven deep latent variable model (PDDLVM) to learn simultaneously parameter-to-solution (forward) and solution-to-parameter (inverse) maps of parametric par…
Quaternion variational integration for inertial maneuvering in a biomimetic UAV
Arion Pons, Fehmi Cirak
Biological flying, gliding, and falling creatures are capable of extraordinary forms of inertial maneuvering: free-space maneuvering based on fine control of their multibody dynami…
Pitch-axis supermanoeuvrability in a biomimetic morphing-wing UAV
Arion Pons, Fehmi Cirak
Birds and bats are extremely adept flyers: whether in hunting prey, or evading predators, post-stall manoeuvrability is a characteristic of vital importance. Their performance, in…
Multiaxis nose-pointing-and-shooting in a biomimetic morphing-wing aircraft
Arion Pons, Fehmi Cirak
Modern high-performance combat aircraft exceed conventional flight-envelope limits on maneuverability through the use of thrust vectoring, and so achieve supermaneuverability. With…
Error analysis for a statistical finite element method
Toni Karvonen, Fehmi Cirak, Mark Girolami
The recently proposed statistical finite element (statFEM) approach synthesises measurement data with finite element models and allows for making predictions about the unknown true…
An optimally convergent smooth blended B-spline construction for semi-structured quadrilateral and hexahedral meshes
Kim Jie Koh, Deepesh Toshniwal, Fehmi Cirak
Easy to construct and optimally convergent generalisations of B-splines to unstructured meshes are essential for the application of isogeometric analysis to domains with non-trivia…
Variational Bayesian Approximation of Inverse Problems using Sparse Precision Matrices
Jan Povala, Ieva Kazlauskaite, Eky Febrianto +2
Inverse problems involving partial differential equations (PDEs) are widely used in science and engineering. Although such problems are generally ill-posed, different regularisatio…