FCMLab: A finite cell research toolbox for MATLAB. - Nils Zander; Tino Bog; Mohamed Elhaddad; R. Espinoza; H. Hu; A. Joly; C. Wu; Patrick Zerbe; Alexander Düster; Stefan Kollmannsberger; Jamshid Parvizian; Martin Ruess; et al. (Adv. Eng. Softw., 2014)

An interactive geometry modeling and parametric design platform for isogeometric analysis. - Ming-Chen Hsu; Chenglong Wang; Austin J. Herrema; Dominik Schillinger; Anindya Ghoshal; Yuri Bazilevs (Comput. Math. Appl., 2015)

Variational boundary conditions based on the Nitsche method for fitted and unfitted isogeometric discretizations of the mechanically coupled Cahn-Hilliard equation. - Ying Zhao 004; Dominik Schillinger; Bai-Xiang Xu (J. Comput. Phys., 2017)

Robust variational segmentation of 3D bone CT data with thin cartilage interfaces. - Tarun Gangwar; Jeff Calder; Takashi Takahashi; Joan E. Bechtold; Dominik Schillinger (Medical Image Anal., 2018)

Residual-Based Variational Multiscale Modeling in a Discontinuous Galerkin Framework. - Stein K. F. Stoter; Sergio R. Turteltaub; Steven J. Hulshoff; Dominik Schillinger (Multiscale Model. Simul., 2018)

A Framework for Data-Driven Computational Mechanics Based on Nonlinear Optimization. - Cristian Guillermo Gebhardt; Dominik Schillinger; Marc Christian Steinbach; Raimund Rolfes (CoRR, 2019)

A Framework for Data-Driven Computational Dynamics Based on Nonlinear Optimization. - Cristian Guillermo Gebhardt; Marc Christian Steinbach; Dominik Schillinger; Raimund Rolfes (CoRR, 2019)

A residual-driven local iterative corrector scheme for the multiscale finite element method. - Lam H. Nguyen; Dominik Schillinger (J. Comput. Phys., 2019)

The multiscale finite element method for nonlinear continuum localization problems at full fine-scale fidelity, illustrated through phase-field fracture and plasticity. - Lam H. Nguyen; Dominik Schillinger (J. Comput. Phys., 2019)

Unification of variational multiscale analysis and Nitsche's method, and a resulting boundary layer fine-scale model. - Stein K. F. Stoter; Marco F. P. ten Eikelder; Frits de Prenter; Ido Akkerman; E. Harald van Brummelen; Clemens V. Verhoosel; Dominik Schillinger (CoRR, 2020)

A matrix-free isogeometric Galerkin method for Karhunen-Loève approximation of random fields using tensor product splines, tensor contraction and interpolation based quadrature. - Michal Lukasz Mika; Thomas Joseph Robert Hughes; Dominik Schillinger; Peter Wriggers; René Rinke Hiemstra (CoRR, 2020)

A comparison of matrix-free isogeometric Galerkin and collocation methods for Karhunen-Loève expansion. - Michal Lukasz Mika; René Rinke Hiemstra; Thomas Joseph Robert Hughes; Dominik Schillinger (CoRR, 2021)

Leveraging spectral analysis to elucidate membrane locking and unlocking in isogeometric finite element formulations of the curved Euler-Bernoulli beam. - Thi-Hoa Nguyen; René R. Hiemstra; Dominik Schillinger (CoRR, 2021)

A DEIM driven reduced basis method for the diffuse Stokes/Darcy model, applied to inverse subsurface characterization of in-situ leach mining. - Stein K. F. Stoter; Etienne Jessen; Viktor Niedens; Dominik Schillinger (CoRR, 2021)

A variational approach based on perturbed eigenvalue analysis for improving spectral properties of isogeometric multipatch discretizations. - Thi-Hoa Nguyen; René R. Hiemstra; Stein K. F. Stoter; Dominik Schillinger (CoRR, 2021)

Variationally consistent mass scaling for explicit time-integration schemes of lower- and higher-order finite element methods. - Stein K. F. Stoter; Thi-Hoa Nguyen; René R. Hiemstra; Dominik Schillinger (CoRR, 2022)

Constraints for eliminating the Gibbs phenomenon in finite element approximation spaces. - Marco F. P. ten Eikelder; Stein K. F. Stoter; Yuri Bazilevs; Dominik Schillinger (CoRR, 2023)

A matrix-free macro-element variant of the hybridized discontinuous Galerkin method. - Vahid Badrkhani; René R. Hiemstra; Michal Mika; Dominik Schillinger (CoRR, 2023)

Towards higher-order accurate mass lumping in explicit isogeometric analysis for structural dynamics. - Thi-Hoa Nguyen; René R. Hiemstra; Sascha Eisenträger; Dominik Schillinger (CoRR, 2023)

Fourier analysis of membrane locking and unlocking. - René R. Hiemstra; Federico Fuentes; Dominik Schillinger (CoRR, 2023)

Connecting continuum poroelasticity with discrete synthetic vascular trees for modeling liver tissue. - Adnan Ebrahem; Etienne Jessen; Marco F. P. ten Eikelder; Tarun Gangwar; Michal Mika; Dominik Schillinger (CoRR, 2023)

Fast immersed boundary method based on weighted quadrature. - Benjamin Marussig; René Hiemstra; Dominik Schillinger (CoRR, 2023)

Nonlinear dynamic analysis of shear- and torsion-free rods using isogeometric discretization, outlier removal and robust time integration. - Thi-Hoa Nguyen; Bruno A. Roccia; René R. Hiemstra; Cristian G. Gebhardt; Dominik Schillinger (CoRR, 2023)

Higher order accurate mass lumping for explicit isogeometric methods based on approximate dual basis functions. - René Hiemstra; Thi-Hoa Nguyen; Sascha Eisenträger; Wolfgang Dornisch; Dominik Schillinger (CoRR, 2023)

Matrix-free polynomial preconditioning of saddle point systems using the hyper-power method. - Michal Lukasz Mika; Marco F. P. ten Eikelder; Dominik Schillinger; René Rinke Hiemstra (CoRR, 2023)

An eigenvalue stabilization technique for immersed boundary finite element methods in explicit dynamics. - Sascha Eisenträger; Lars Radtke; Wadhah Garhuom; Stefan Löhnert; Alexander Düster; Daniel Juhre; Dominik Schillinger (Comput. Math. Appl., 2024)

The matrix-free macro-element hybridized Discontinuous Galerkin method for steady and unsteady compressible flows. - Vahid Badrkhani; Marco F. P. ten Eikelder; René R. Hiemstra; Dominik Schillinger (CoRR, 2024)

A locking-free isogeometric thin shell formulation based on higher order accurate local strain projection via approximate dual splines. - Thi-Hoa Nguyen; René R. Hiemstra; Dominik Schillinger (CoRR, 2024)

Multiscale topology optimization of functionally graded lattice structures based on physics-augmented neural network material models. - Jonathan Stollberg; Tarun Gangwar; Oliver Weeger; Dominik Schillinger (CoRR, 2024)

A Multiscale-Multiphysics Framework for Modeling Organ-scale Liver Regrowth. - Adnan Ebrahem; Jannes Hohl; Etienne Jessen; Marco F. P. ten Eikelder; Dominik Schillinger (CoRR, 2024)

A study on nodal and isogeometric formulations for nonlinear dynamics of shear- and torsion-free rods. - Thi-Hoa Nguyen; Bruno A. Roccia; Dominik Schillinger; Cristian C. Gebhardt (CoRR, 2024)

The divergence-free velocity formulation of the consistent Navier-Stokes Cahn-Hilliard model with non-matching densities, divergence-conforming discretization, and benchmarks. - Marco F. P. ten Eikelder; Dominik Schillinger (J. Comput. Phys., 2024)

Branching Exponents of Synthetic Vascular Trees Under Different Optimality Principles. - Etienne Jessen; Marc C. Steinbach; Charlotte Debbaut; Dominik Schillinger (IEEE Trans. Biomed. Eng., 2024)

Reduced order modeling of blood perfusion in parametric multipatch liver lobules. - Ahsan Ali Siddiqui; Etienne Jessen; Stein K. F. Stoter; David Néron; Dominik Schillinger (Adv. Model. Simul. Eng. Sci., 2024)

An entropy-stable and kinetic energy-preserving macro-element HDG method for compressible flows. - Vahid Badrkhani; Marco F. P. ten Eikelder; Dominik Schillinger (CoRR, 2025)