references.bib

@incollection{jiang2016material,
  title={The Material Point Method for Simulating Continuum Materials},
  author={Jiang, Chenfanfu and Schroeder, Craig and Teran, Joseph and Stomakhin, Alexey and Selle, Andrew},
  booktitle={ACM SIGGRAPH 2016 courses},
  year={2016}
}

@article{chen2022unified,
  title={A unified newton barrier method for multibody dynamics},
  author={Chen, Yunuo and Li, Minchen and Lan, Lei and Su, Hao and Yang, Yin and Jiang, Chenfanfu},
  journal={ACM Transactions on Graphics (TOG)},
  volume={41},
  number={4},
  pages={1--14},
  year={2022},
  publisher={ACM New York, NY, USA}
}

@article{li2020incremental,
  title={Incremental potential contact: intersection-and inversion-free, large-deformation dynamics.},
  author={Li, Minchen and Ferguson, Zachary and Schneider, Teseo and Langlois, Timothy R and Zorin, Denis and Panozzo, Daniele and Jiang, Chenfanfu and Kaufman, Danny M},
  journal={ACM Trans. Graph.},
  volume={39},
  number={4},
  pages={49},
  year={2020}
}

@inproceedings{stomakhin2012energetically,
  title={Energetically Consistent Invertible Elasticity.},
  author={Stomakhin, Alexey and Howes, Russell and Schroeder, Craig A and Teran, Joseph M},
  booktitle={Symposium on Computer Animation},
  volume={1},
  number={2},
  year={2012}
}

@article{smith2018stable,
  title={Stable neo-hookean flesh simulation},
  author={Smith, Breannan and Goes, Fernando De and Kim, Theodore},
  journal={ACM Transactions on Graphics (TOG)},
  volume={37},
  number={2},
  pages={1--15},
  year={2018},
  publisher={ACM New York, NY, USA}
}

@incollection{schroeder2022practical,
  title={Practical course on computing derivatives in code},
  author={Schroeder, Craig},
  booktitle={ACM SIGGRAPH 2022 Courses},
  pages={1--28},
  year={2022}
}

@inproceedings{irving2004invertible,
  title={Invertible finite elements for robust simulation of large deformation},
  author={Irving, Geoffrey and Teran, Joseph and Fedkiw, Ronald},
  booktitle={Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation},
  pages={131--140},
  year={2004}
}

@book{gonzalez2008first,
  title={A first course in continuum mechanics},
  author={Gonzalez, Oscar and Stuart, Andrew M},
  volume={42},
  year={2008},
  publisher={Cambridge University Press}
}

@inproceedings{sifakis2012finite,
  author = {Sifakis, Eftychios and Barbic, Jernej},
  title = {FEM simulation of 3D deformable solids: a practitioner's guide to theory, discretization and model reduction},
  year = {2012},
  publisher = {Association for Computing Machinery},
  address = {New York, NY, USA},
  url = {https://doi.org/10.1145/2343483.2343501},
  abstract = {A practical guide to finite-element-method (FEM) simulation of 3D deformable solids reviews essential offline FEM simulation techniques: complex nonlinear materials, invertible treatment of elasticity, and model-reduction techniques for real-time simulation.Simulations of deformable solids are important in many applications in computer graphics, including film special effects, computer games, and virtual surgery. FEM has become a popular method in many applications. Both offline simulation and real-time techniques have matured in computer graphics literature.This course is designed for attendees familiar with numerical simulation in computer graphics who would like to obtain a cohesive picture of the various FEM simulation methods available, their strengths and weaknesses, and their applicability in various simulation scenarios. The course is also a practical implementation guide for the visual-effects developer, offering a very lean yet adequate synopsis of the underlying mathematical theory. The first section introduces FEM deformable-object simulation and its fundamental concepts, such as deformation gradient, strain, stress, and elastic energy, discusses corotational FEM models, isotropic hyperelasticity, and numerical methods such as conjugate gradients and multigrid. The second section presents the state of the art in model reduction techniques for real-time FEM solid simulation. Topics include linear modal analysis, modal warping, subspace simulation, domain decomposition, and which techniques are suitable for which application.},
  booktitle = {ACM SIGGRAPH 2012 Courses},
  articleno = {20},
  numpages = {50},
  location = {Los Angeles, California},
  series = {SIGGRAPH '12}
}

@article{xu2015nonlinear,
  title={Nonlinear material design using principal stretches},
  author={Xu, Hongyi and Sin, Funshing and Zhu, Yufeng and Barbic, Jernej},
  journal={ACM Transactions on Graphics (TOG)},
  volume={34},
  number={4},
  pages={1--11},
  year={2015},
  publisher={ACM New York, NY, USA}
}

@article{li2023convergent,
  title={Convergent Incremental Potential Contact},
  author={Li, Minchen and Ferguson, Zachary and Schneider, Teseo and Langlois, Timothy and Zorin, Denis and Panozzo, Daniele and Jiang, Chenfanfu and Kaufman, Danny M},
  journal={arXiv preprint arXiv:2307.15908},
  year={2023}
}

@article{li2021codimensional,
  title={Codimensional incremental potential contact},
  author={Li, Minchen and Kaufman, Danny M and Jiang, Chenfanfu},
  journal={ACM Transactions on Graphics (TOG)},
  volume={40},
  number={4},
  pages={1--24},
  year={2021},
  publisher={ACM New York, NY, USA}
}

@article{jiang2015affine,
  title={The affine particle-in-cell method},
  author={Jiang, Chenfanfu and Schroeder, Craig and Selle, Andrew and Teran, Joseph and Stomakhin, Alexey},
  journal={ACM Transactions on Graphics (TOG)},
  volume={34},
  number={4},
  pages={1--10},
  year={2015},
  publisher={ACM New York, NY, USA}
}

@article{hu2018moving,
  title={A moving least squares material point method with displacement discontinuity and two-way rigid body coupling},
  author={Hu, Yuanming and Fang, Yu and Ge, Ziheng and Qu, Ziyin and Zhu, Yixin and Pradhana, Andre and Jiang, Chenfanfu},
  journal={ACM Transactions on Graphics (TOG)},
  volume={37},
  number={4},
  pages={1--14},
  year={2018},
  publisher={ACM New York, NY, USA}
}

@article{klar2016drucker,
  title={Drucker-prager elastoplasticity for sand animation},
  author={Klar, Gergely and Gast, Theodore and Pradhana, Andre and Fu, Chuyuan and Schroeder, Craig and Jiang, Chenfanfu and Teran, Joseph},
  journal={ACM Transactions on Graphics (TOG)},
  volume={35},
  number={4},
  pages={1--12},
  year={2016},
  publisher={ACM New York, NY, USA}
}

@article{tampubolon2017multi,
  title={Multi-species simulation of porous sand and water mixtures},
  author={Tampubolon, Andre Pradhana and Gast, Theodore and Klar, Gergely and Fu, Chuyuan and Teran, Joseph and Jiang, Chenfanfu and Museth, Ken},
  journal={ACM Transactions on Graphics (TOG)},
  volume={36},
  number={4},
  pages={1--11},
  year={2017},
  publisher={ACM New York, NY, USA}
}

@article{brackbill1988flip,
  title={FLIP: a low-dissipation, particle-in-cell method for fluid flow},
  author={Brackbill, Jeremiah U and Kothe, Douglas B and Ruppel, Hans M},
  journal={Computer Physics Communications},
  volume={48},
  number={1},
  pages={25--38},
  year={1988},
  publisher={Elsevier}
}

@book{bridson2015fluid,
  title={Fluid simulation for computer graphics},
  author={Bridson, Robert},
  year={2015},
  publisher={AK Peters/CRC Press}
}

@techreport{harlow1962particle,
  title={The particle-in-cell method for numerical solution of problems in fluid dynamics},
  author={Harlow, Francis H},
  year={1962},
  institution={Los Alamos National Lab.(LANL), Los Alamos, NM (United States)}
}

@article{lan2022affine,
  title={Affine body dynamics: Fast, stable \& intersection-free simulation of stiff materials},
  author={Lan, Lei and Kaufman, Danny M and Li, Minchen and Jiang, Chenfanfu and Yang, Yin},
  journal={arXiv preprint arXiv:2201.10022},
  year={2022}
}

@article{an2008optimizing,
  title={Optimizing cubature for efficient integration of subspace deformations},
  author={An, Steven S and Kim, Theodore and James, Doug L},
  journal={ACM transactions on graphics (TOG)},
  volume={27},
  number={5},
  pages={1--10},
  year={2008},
  publisher={ACM New York, NY, USA}
}

@article{bender2017survey,
  title={A survey on position based dynamics, 2017},
  author={Bender, Jan and M{\"u}ller, Matthias and Macklin, Miles},
  journal={Proceedings of the European Association for Computer Graphics: Tutorials},
  pages={1--31},
  year={2017}
}

@article{macklin2013position,
  title={Position based fluids},
  author={Macklin, Miles and Muller, Matthias},
  journal={ACM Transactions on Graphics (TOG)},
  volume={32},
  number={4},
  pages={1--12},
  year={2013},
  publisher={ACM New York, NY, USA}
}

@article{muller2008hierarchical,
  title={Hierarchical position based dynamics},
  author={Müller, Matthias},
  year={2008},
  publisher={The Eurographics Association}
}

@inproceedings{bergou2006quadratic,
  title={A quadratic bending model for inextensible surfaces},
  author={Bergou, Miklos and Wardetzky, Max and Harmon, David and Zorin, Denis and Grinspun, Eitan},
  booktitle={Symposium on Geometry Processing},
  volume={227},
  pages={230},
  year={2006}
}

@article{koschier2020smoothed,
  title={Smoothed particle hydrodynamics techniques for the physics based simulation of fluids and solids},
  author={Koschier, Dan and Bender, Jan and Solenthaler, Barbara and Teschner, Matthias},
  journal={arXiv preprint arXiv:2009.06944},
  year={2020}
}

@article{ferguson2021intersection,
  title={Intersection-free rigid body dynamics},
  author={Ferguson, Zachary and Li, Minchen and Schneider, Teseo and Gil-Ureta, Francisca and Langlois, Timothy and Jiang, Chenfanfu and Zorin, Denis and Kaufman, Danny M and Panozzo, Daniele},
  journal={ACM Transactions on Graphics},
  volume={40},
  number={4},
  year={2021}
}

@article{smith2005open,
  title={Open dynamics engine},
  author={Smith, Russell and others},
  year={2005}
}


@inproceedings{hsu2025stable,
  title={Stable Cosserat Rods},
  author={Hsu, Jerry and Wang, Tongtong and Wu, Kui and Yuksel, Cem},
  booktitle={Proceedings of the Special Interest Group on Computer Graphics and Interactive Techniques Conference Conference Papers},
  pages={1--10},
  year={2025}
}
@article{hsu2023sag,
  title={Sag-free initialization for strand-based hybrid hair simulation},
  author={Hsu, Jerry and Wang, Tongtong and Pan, Zherong and Gao, Xifeng and Yuksel, Cem and Wu, Kui},
  journal={ACM Transactions on Graphics (TOG)},
  volume={42},
  number={4},
  pages={1--14},
  year={2023},
  publisher={ACM New York, NY, USA}
}


@inproceedings{kugelstadt2016position,
  title={Position and orientation based Cosserat rods.},
  author={Kugelstadt, Tassilo and Schömer, Elmar},
  booktitle={Symposium on Computer Animation},
  volume={11},
  pages={169--178},
  year={2016}
}