80 citations · 592 across the 38 of their papers we have counts for
8 papers · 1 filter
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…
Adding quadric fillets to quador lattice structures
Fehmi Cirak, Malcolm Sabin
Gupta et al. [1, 2] describe a very beautiful application of algebraic geometry to lattice structures composed of quadric of revolution (quador) implicit surfaces. However, the sha…
Topologically robust CAD model generation for structural optimisation
Ge Yin, Xiao Xiao, Fehmi Cirak
Computer-aided design (CAD) models play a crucial role in the design, manufacturing and maintenance of products. Therefore, the mesh-based finite element descriptions common in str…
The statistical finite element method (statFEM) for coherent synthesis of observation data and model predictions
Mark Girolami, Eky Febrianto, Ge Yin +1
The increased availability of observation data from engineering systems in operation poses the question of how to incorporate this data into finite element models. To this end, we…
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…