80 citations · 592 across the 38 of their papers we have counts for
26 papers · 1 filter
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…
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…
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…
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…
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…
Computational modelling and data-driven homogenisation of knitted membranes
Sumudu Herath, Xiao Xiao, Fehmi Cirak
Knitting is an effective technique for producing complex three-dimensional surfaces owing to the inherent flexibility of interlooped yarns and recent advances in manufacturing prov…
Infill topology and shape optimisation of lattice-skin structures
Xiao Xiao, Fehmi Cirak
Lattice-skin structures composed of a thin-shell skin and a lattice infill are widespread in nature and large-scale engineering due to their efficiency and exceptional mechanical p…
Digital twinning of self-sensing structures using the statistical finite element method
Eky Febrianto, Liam Butler, Mark Girolami +1
The monitoring of infrastructure assets using sensor networks is becoming increasingly prevalent. A digital twin in the form of a finite element model, as used in design and constr…
Mollified finite element approximants of arbitrary order and smoothness
Eky Febrianto, Michael Ortiz, Fehmi Cirak
The approximation properties of the finite element method can often be substantially improved by choosing smooth high-order basis functions. It is extremely difficult to devise suc…
Manifold-based isogeometric analysis basis functions with prescribed sharp features
Qiaoling Zhang, Fehmi Cirak
We introduce manifold-based basis functions for isogeometric analysis of surfaces with arbitrary smoothness, prescribed continuous creases and boundaries. The utility of the…
An Immersed Discontinuous Galerkin Method for Compressible Navier-Stokes Equations on Unstructured Meshes
Hong Xiao, Eky Febrianto, Qiaoling Zhang +1
We introduce an immersed high-order discontinuous Galerkin method for solving the compressible Navier-Stokes equations on non-boundary-fitted meshes. The flow equations are discret…
A non-iterative method for robustly computing the intersections between a line and a curve or surface
Xiao Xiao, Laurent Buse, Fehmi Cirak
The need to compute the intersections between a line and a high-order curve or surface arises in a large number of finite element applications. Such intersection problems are easy…
Manifold-based B-splines on unstructured meshes
Qiaoling Zhang, Thomas Takacs, Fehmi Cirak
We introduce new manifold-based splines that are able to exactly reproduce B-splines on unstructured surface meshes. Such splines can be used in isogeometric analysis (IGA) to repr…
Interrogation of spline surfaces with application to isogeometric design and analysis of lattice-skin structures
Xiao Xiao, Malcolm Sabin, Fehmi Cirak
A novel surface interrogation technique is proposed to compute the intersection of curves with spline surfaces in isogeometric analysis. The intersection points are determined in o…
Subdivision surfaces with isogeometric analysis adapted refinement weights
Qiaoling Zhang, Malcolm Sabin, Fehmi Cirak
Subdivision surfaces provide an elegant isogeometric analysis framework for geometric design and analysis of partial differential equations defined on surfaces. They are already a…
Isogeometric FEM-BEM coupled structural-acoustic analysis of shells using subdivision surfaces
Zhaowei Liu, Musabbir Majeed, Fehmi Cirak +1
We introduce a coupled finite and boundary element formulation for acoustic scattering analysis over thin shell structures. A triangular Loop subdivision surface discretisation is…
Isogeometric analysis using manifold-based smooth basis functions
Musabbir Majeed, Fehmi Cirak
We present an isogeometric analysis technique that builds on manifold-based smooth basis functions for geometric modelling and analysis. Manifold-based surface construction techniq…