CSMLab for computational mechanics and design in Cambridge

Papers in Reviewed Journals

A complete and up-to-date list of publications is available on Google Scholar.

Y. Wang, M. Ortiz and F. Cirak. QAFE²: Quantum accelerated multiscale finite element analysis. 2026. Link to the arXiv preprint.
I. Kavrakov, Y. S. Jetti, A. O. Yuksel and F. Cirak. Statistical finite elements for sequential data synthesis in solid dynamics. 2026. Link to the arXiv preprint.
X. Xiao and F. Cirak. Neural parametric representations for thin-shell shape optimisation. 2026. Link to the arXiv preprint.
V. K. Narouie, J. H. Urrea-Quintero, F. Cirak and H. Wessels. Unsupervised Constitutive Model Discovery from Sparse and Noisy Data. Computer Methods in Applied Mechanics and Engineering 452, 118722, 2026. Link to the publication.
A. Pons and F. Cirak. Pitch-axis supermanoeuvrability in a biomimetic morphing-wing UAV. The Aeronautical Journal, 130(1345), 762–789, 2026. Link to the publication.
T. A. Archbold, I. Kazlauskaite and F. Cirak. Multi‐View Bayesian optimisation in an input‐output reduced space for engineering design. International Journal for Numerical Methods in Engineering 126(23), e70187, 2025. Link to the publication.
E. Febrianto, Y. Wang, B. Liu, M. Ortiz and F. Cirak. A Quantum spectral method for non-periodic boundary value problems. Computer Methods in Applied Mechanics and Engineering, Volume 457, 118934, 2026. Link to the publication.
T. Karvonen, F. Cirak and M. Girolami. Error analysis for a statistical finite element method. Journal of Multivariate Analysis 210, 105468, 2025. Link to the publication.
T. Liu, X. Xiao and F. Cirak. Bayesian buckling load optimisation for structures with geometric uncertainties. International Journal for Numerical Methods in Engineering 126(20), e70111, 2025. Link to the publication.
V. Narouie, H. Wessels, F. Cirak and U. Römer. Mechanical state estimation with a polynomial-chaos-based statistical finite element method. Computer Methods in Applied Mechanics and Engineering 441, 117970, 2025. Link to the publication.
B. Liu, M. Ortiz and F. Cirak. Towards quantum computational mechanics. Computer Methods in Applied Mechanics and Engineering 432, 117403, 2024. Link to the publication.
D. Alfarisy, L. Zuhal, M. Ortiz, F. Cirak and E. Febrianto. Point collocation with mollified piecewise polynomial approximants for high‐order partial differential equations. International Journal for Numerical Methods in Engineering 125(18), e7548, 2024. Link to the publication.
E. Febrianto, J. Šístek, P. Kůs, M. Kecman and F. Cirak. A three-grid high-order immersed finite element method for the analysis of CAD models. Computer-Aided Design 173, 103730, 2024. Link to the publication.
T. A. Archbold, I. Kazlauskaite and F. Cirak. Variational Bayesian surrogate modelling with application to robust design optimisation. Computer Methods in Applied Mechanics and Engineering 432, 117423, 2024. Link to the publication.
I. Ben-Yelun, A. O. Yuksel and F. Cirak. Robust topology optimisation of lattice structures with spatially correlated uncertainties. Structural & Multidisciplinary Optimization 67(2), 16, 2024. Link to the publication.
K. J. Koh and F. Cirak. Stochastic PDE representation of random fields for large-scale Gaussian process regression and statistical finite element analysis. Computer Methods in Applied Mechanics and Engineering 417, 116358, 2023. Link to the publication.
F. Sun, E. Febrianto, H. Fernando, L. J. Butler, F. Cirak and N. A. Hoult. Data-informed statistical finite element analysis of rail buckling. Computers & Structures 289, 107163, 2023. Link to the publication.
A. Vadeboncoeur, Ö. D. Akyildiz, I. Kazlauskaite, M. Girolami and F. Cirak. Fully probabilistic deep models for forward and inverse problems in parametric PDEs. Journal of Computational Physics 491, 112369, 2023. Link to the publication.
A. Vadeboncoeur, I. Kazlauskaite, Y. Papandreou, F. Cirak, M. Girolami, and Ö. D. Akyildiz. Random grid neural processes for parametric partial differential equations. Proceedings of the 40th International Conference on Machine Learning, Proceedings of Machine Learning Research, 202, 34759–34778, 2023. Link to the publication.
A. Pons and F. Cirak. Multi-axis nose-pointing-and-shooting in a biomimetic morphing-wing aircraft. Journal of Guidance, Control, and Dynamics 46(3), 499-517, 2023. Link to the publication.
A. Pons and F. Cirak. Quaternion variational integration for inertial maneuvering in a biomimetic unmanned aerial vehicle. ASME Letters in Dynamic Systems and Control 3(1), 011008, 2023. Link to the publication.
X. Xiao and F. Cirak. Free-form deformation based isogeometric shape optimisation of thin-shell structures. Proceedings of IASS Annual Symposia 2022(8), 1-10, 2022. Link to the publication.
K. J. Koh, D. Toshniwal and F. Cirak. An optimally convergent smooth blended B-spline construction for semi-structured quadrilateral and hexahedral meshes. Computer Methods in Applied Mechanics and Engineering 399, 115438, 2022. Link to the publication.
J. Povala, I. Kazlauskaite, E. Febrianto, F. Cirak and M. Girolami. Variational Bayesian approximation of inverse problems using sparse precision matrices. Computer Methods in Applied Mechanics and Engineering 393, 114712, 2022. Link to the publication.
S. Herath, X. Xiao and F. Cirak. Computational modeling and data‐driven homogenization of knitted membranes. International Journal for Numerical Methods in Engineering 123(3), 683-704, 2022. Link to the publication.
E. Febrianto, L. Butler, M. Girolami and F. Cirak. Digital twinning of self-sensing structures using the statistical finite element method. Data-Centric Engineering 3, e31, 2022. Link to the publication.
X. Xiao and F. Cirak. Infill topology and shape optimisation of lattice-skin structures. International Journal for Numerical Methods in Engineering, 123(3), 664–682, 2022. Link to the publication.
M. Girolami, E. Febrianto, G. Yin and F. Cirak. The statistical finite element method (statFEM) for coherent synthesis of observation data and model predictions. Computer Methods in Applied Mechanics and Engineering, 375, 113533, 2021. Link to the publication.
E. Febrianto, M. Ortiz and F. Cirak. Mollified finite element approximants of arbitrary order and smoothness. Computer Methods in Applied Mechanics and Engineering, 373, 113513, 2021. Link to the publication.
G. Yin, X. Xiao and F. Cirak. Topologically robust CAD model generation for structural optimisation. Computer Methods in Applied Mechanics and Engineering, 369, 113102, 2020. Link to the publication.
Q. Zhang and F. Cirak. Manifold-based isogeometric analysis basis functions with prescribed sharp features. Computer Methods in Applied Mechanics and Engineering, 359, 112659, 2020. Link to the publication.
F. Cirak and M. Sabin. Adding quadric fillets to quador lattice structures. Computer-Aided Design, 118, 102754, 2020. Link to the publication.
X. Xiao, L. Buse and F. Cirak. A non-iterative method for robustly computing the intersections between a line and a curve or surface. International Journal for Numerical Methods in Engineering, 120:382–390, 2019. Link to the publication.
H. Xiao, E. Febrianto, Q. Zhang and F. Cirak. An Immersed discontinuous Galerkin method for compressible Navier-Stokes equations on unstructured meshes. International Journal for Numerical Methods in Fluids, 91(10), 487–508, 2019. Link to the publication.
X. Xiao, M. Sabin and F. Cirak. Interrogation of spline surfaces with application to isogeometric design and analysis of lattice-skin structures. Computer Methods in Applied Mechanics and Engineering, 351:928–950, 2019. Link to the publication.
Q. Zhang, M. Sabin and F. Cirak. Subdivision surfaces with isogeometric analysis adapted refinement weights. Computer-Aided Design, 102:104–114, 2018. Link to the publication.
Z. Liu, M. Majeed, F. Cirak and R. Simpson. Isogeometric FEM-BEM coupled structural-acoustic analysis of shells using subdivision surfaces. International Journal for Numerical Methods in Engineering, 113:1507–1530, 2018. Link to the publication.
K. Bandara and F. Cirak. Isogeometric shape optimisation of shell structures using multiresolution subdivision surfaces. Computer-Aided Design, 95:62–71, 2018. Link to the publication.
M. Majeed and F. Cirak. Isogeometric analysis using manifold-based smooth basis functions. Computer Methods in Applied Mechanics and Engineering, 316:547–567, 2017. Link to the publication.
T. Rüberg, F. Cirak and J.M. Garcia-Aznar. An unstructured immersed finite element method for nonlinear solid mechanics. Advanced Modeling and Simulation in Engineering Sciences, 2016. Link to the Open Access article.
K. Bandara, T. Rüberg and F. Cirak. Shape optimisation with multiresolution subdivision surfaces and immersed finite elements. Computer Methods in Applied Mechanics and Engineering, 300:510–539, 2016. Link to the Open Access article.
J. Sistek and F. Cirak. Parallel iterative solution of the incompressible Navier-Stokes equations with application to rotating wings. Computers & Fluids, 122:165–183 2015. Link to the Open Access article.
K. Bandara, F. Cirak, G. Of, O. Steinbach and J. Zapletal. Boundary element based multiresolution shape optimisation in electrostatics. Journal of Computational Physics, 297: 584–598, 2015. Link to the Open Access article.
T. Rüberg and F. Cirak. A fixed-grid b-spline finite element technique for fluid-structure interaction. International Journal for Numerical Methods in Fluids, 74(9): 623–660, 2014. Download PDF of draft.
F. Cirak, Q. Long, K. Bhattacharya and M. Warner. Computational analysis of liquid crystalline elastomer membranes: changing Gaussian curvature without stretch energy. International Journal of Solids and Structures, 51(1): 144–153, 2014. Download PDF of draft.
R.M.J. Kramer, F. Cirak and C. Pantano. Fluid-structure interaction simulations of a tension-cone inflatable aerodynamics decelerator for atmospheric entry. AIAA Journal, 51(7): 1640–1656, 2013. Download PDF of draft.
V. Kolar, J. Sistek, F. Cirak and P. Moses. Average corotation of line segments near a point and vortex identification. AIAA Journal, 51(11): 2678-2694, 2013. Download PDF of draft.
P.B. Bornemann and F. Cirak. A subdivision-based implementation of the hierarchical b-spline finite element method. Computer Methods in Applied Mechanics and Engineering, 253:584–598, 2013. Download PDF of draft.
T. Rüberg and F. Cirak. Subdivision-stabilised immersed b-spline finite elements for moving boundary flows. Computer Methods in Applied Mechanics and Engineering, 209–212:266–283, 2012. Download PDF of draft.
Q. Long, P.B. Bornemann and F. Cirak. Shear-flexible subdivision shells. International Journal for Numerical Methods in Engineering, 90(13):1549–1577, 2012. Download PDF of draft.
F. Cirak and Q. Long. Subdivision shells with exact boundary control and non-manifold geometry. International Journal for Numerical Methods in Engineering, 88(9):897–923, 2011. Download PDF of draft.
R.A.K. Sanches, P.B. Bornemann and F. Cirak. Immersed b-spline (i-spline) finite element method for geometrically complex domains. Computer Methods in Applied Mechanics and Engineering, 200(13-16):1432–1445, 2011. Download PDF of draft.
T. Rüberg and F. Cirak. An immersed finite element method with integral equation correction. International Journal for Numerical Methods in Engineering, 86(1):93–114, 2011. Download PDF of draft.
K. Karagiozis, R. Kamakoti, F. Cirak and C. Pantano. A computational study of supersonic disk-gap-band parachutes using large-eddy simulation coupled to a structural membrane. Journal of Fluids and Structures, 27(2):175–192, 2011. Download PDF.
J. Mosler and F. Cirak. A variational formulation for finite deformation wrinkling analysis of inelastic membranes. Computer Methods in Applied Mechanics and Engineering, 198(27-29):2087–2098, 2009. Download PDF of draft.
F. Cirak and J.C. Cummings. Generic programming techniques for parallelizing and extending procedural finite element programms. Engineering with Computers, 24(1):1-16, 2008. Download PDF of draft.
F. Cirak, R. Deiterding and S.P Mauch. Large-scale fluid-structure interaction simulation of viscoplastic and fracturing thin-shells subjected to shocks and detonations. Computers & Structures, 85(11-14):1049:1065, 2007. Download PDF of draft.
R. Deiterding, F. Cirak, S.P. Mauch and D.I. Meiron. A virtual test facility for simulating detonation-induced fracture of thin flexible shells. Lecture Notes in Computer Science, 3992:122–130, 2006. Download PDF of draft.
F. Cirak and M. West. Decomposition-based contact response (DCR) for explicit finite element dynamics. International Journal for Numerical Methods in Engineering, 64(8):1078-1110, 2005. Download PDF of draft.
F. Cirak, M. Ortiz, and A. Pandolfi. A cohesive approach to thin-shell fracture and fragmentation. Computer Methods in Applied Mechanics and Engineering, 194(21-24):2604–2618, 2005. Download PDF of draft.
F. Cirak and R. Radovitzky. A Lagrangian-Eulerian shell-fluid coupling algorithm based on level sets. Computers & Structures, 83:491–498, 2005. Download PDF of draft.
F. Cirak, J.E. Cisternas, A.M. Cuitino, G. Ertl, P. Holmes, I.G. Kevrekidis, M. Ortiz, H.H. Rotermund, M. Schunack, and J. Wolff. Oscillatory thermomechanical instability of an ultrathin catalyst. Science, 300:1932–1936, 2003. Download PDF.
F. Cirak, M.J. Scott, E.K. Antonsson, M. Ortiz, and P. Schröder. Integrated modeling, finite-element analysis and engineering design for thin-shell structures using subdivision. Computer-Aided Design, 34(2):137–148, 2002. Download PDF of draft.
F. Cirak and M. Ortiz. Fully C¹-conforming subdivision elements for finite deformation thin-shell analysis. International Journal for Numerical Methods in Engineering, 51(7):813–833, 2001. Download PDF of draft.
F. Cirak, M. Ortiz, and P. Schröder. Subdivision surfaces: A new paradigm for thin-shell finite-element analysis. International Journal for Numerical Methods in Engineering, 47(12):2039–2072, 2000. Download PDF of draft.
F. Cirak and E. Ramm. A-posteriori error estimation and adaptivity for nonlinear problems using the reciprocal theorem. International Journal for Numerical Methods in Engineering, 47:379–393, 2000. Download PDF of draft.
F. Cirak and E. Ramm. A-posteriori error estimation and adaptivity for the finite-element-method using duality principles. ZAMM, 79:139–142, 1999. Download PDF of draft.
F. Cirak and E. Ramm. A-posteriori error estimation and adaptivity for linear elasticity using the reciprocal theorem. Computer Methods in Applied Mechanics and Engineering, 156:351–362, 1998. Download PDF of draft.

Theses

F. Cirak. Adaptive finite-element-methods for nonlinear analysis of thin-walled structures. In German. Ph.D. thesis, Institute for Structural Mechanics, University of Stuttgart, 1998. Report-Nr. 26. Download.

Patent

Method and system for thin-shell finite-element analysis. U.S. Patent No. 6.876.596.