Decomposed optimization time integrator for large-step elastodynamics
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Chenfanfu Jiang | Danny M. Kaufman | Timothy R. Langlois | Ming Gao | Minchen Li | Timothy Langlois | D. Kaufman | Minchen Li | Chenfanfu Jiang | Ming Gao
[1] Stephen J. Wright,et al. Numerical Optimization , 2018, Fundamental Statistical Inference.
[2] Victorita Dolean,et al. An introduction to domain decomposition methods - algorithms, theory, and parallel implementation , 2015 .
[3] Eftychios Sifakis,et al. A scalable schur-complement fluids solver for heterogeneous compute platforms , 2016, ACM Trans. Graph..
[4] J. Neuberger. Steepest descent and differential equations , 1985 .
[5] Hujun Bao,et al. An efficient large deformation method using domain decomposition , 2006, Comput. Graph..
[6] Daniele Panozzo,et al. Decoupling simulation accuracy from mesh quality , 2018, ACM Trans. Graph..
[7] Vipin Kumar,et al. A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs , 1998, SIAM J. Sci. Comput..
[8] Eftychios Sifakis,et al. Computing the Singular Value Decomposition of 3x3 matrices with minimal branching and elementary floating point operations , 2011 .
[9] J. Lambert. Numerical Methods for Ordinary Differential Equations , 1991 .
[10] Jack J. Dongarra,et al. Fast Cholesky factorization on GPUs for batch and native modes in MAGMA , 2017, J. Comput. Sci..
[11] M. Ortiz,et al. The variational formulation of viscoplastic constitutive updates , 1999 .
[12] Theodore Kim,et al. Physics-Based Character Skinning Using Multidomain Subspace Deformations , 2012, IEEE Trans. Vis. Comput. Graph..
[13] YANQING CHEN,et al. Algorithm 8 xx : CHOLMOD , supernodal sparse Cholesky factorization and update / downdate ∗ , 2006 .
[14] Alexey Stomakhin,et al. Energetically consistent invertible elasticity , 2012, SCA '12.
[15] Tiantian Liu,et al. Quasi-newton methods for real-time simulation of hyperelastic materials , 2017, TOGS.
[16] E. Hairer,et al. Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems , 1993 .
[17] Eitan Grinspun,et al. Example-based elastic materials , 2011, ACM Trans. Graph..
[18] Jerrold E. Marsden,et al. Geometric, variational integrators for computer animation , 2006, SCA '06.
[19] J. Marsden,et al. Variational Integrators and the Newmark Algorithm for Conservative and Dissipative Mechanical Systems , 2000 .
[20] Stephen P. Boyd,et al. Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers , 2011, Found. Trends Mach. Learn..
[21] Stephen P. Boyd,et al. Block splitting for distributed optimization , 2013, Mathematical Programming Computation.
[22] Peter Schröder,et al. A simple geometric model for elastic deformations , 2010, ACM Trans. Graph..
[23] E. Hairer,et al. Solving Ordinary Differential Equations II , 2010 .
[24] Theodore Kim,et al. Physics-Based Character Skinning Using Multidomain Subspace Deformations , 2011, IEEE Transactions on Visualization and Computer Graphics.
[25] E. Hairer,et al. Geometric Numerical Integration , 2022, Oberwolfach Reports.
[26] Theodore Kim,et al. Stable Neo-Hookean Flesh Simulation , 2018, ACM Trans. Graph..
[27] Mark Pauly,et al. Projective dynamics , 2014, ACM Trans. Graph..
[28] Rahul Narain,et al. ADMM ⊇ projective dynamics: fast simulation of general constitutive models , 2016, Symposium on Computer Animation.
[29] Ronald Fedkiw,et al. Robust quasistatic finite elements and flesh simulation , 2005, SCA '05.
[30] Craig Schroeder,et al. Optimization Integrator for Large Time Steps , 2014, IEEE Transactions on Visualization and Computer Graphics.
[31] Ernst Hairer,et al. Numerical methods for evolutionary differential equations , 2010, Math. Comput..
[32] V. Shamanskii. A modification of Newton's method , 1967 .
[33] P. Deuflhard. Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms , 2011 .
[34] Xiao-Chuan Cai,et al. Domain Decomposition Methods for Monotone Nonlinear Elliptic Problems , 1994 .
[35] Jed Brown,et al. LOW-RANK QUASI-NEWTON UPDATES FOR ROBUST JACOBIAN LAGGING IN NEWTON METHODS , 2013 .
[36] Alfio Quarteroni,et al. Domain Decomposition Methods for Compressible Flows , 1999 .
[37] P. Schröder,et al. A simple geometric model for elastic deformations , 2010, SIGGRAPH 2010.
[38] Jie Li,et al. ADMM ⊇ Projective Dynamics: Fast Simulation of Hyperelastic Models with Dynamic Constraints , 2017, IEEE Trans. Vis. Comput. Graph..
[39] Eitan Grinspun,et al. Example-based elastic materials , 2011, ACM Trans. Graph..
[40] Alfio Quarteroni,et al. Domain Decomposition Methods for Partial Differential Equations , 1999 .
[41] Olga Sorkine-Hornung,et al. Geometric optimization via composite majorization , 2017, ACM Trans. Graph..
[42] Matthias Müller,et al. XPBD: position-based simulation of compliant constrained dynamics , 2016, MIG.
[43] Matthias Müller,et al. Position based dynamics , 2007, J. Vis. Commun. Image Represent..
[44] Matematik,et al. Numerical Methods for Ordinary Differential Equations: Butcher/Numerical Methods , 2005 .
[45] James F. O'Brien,et al. Updated sparse cholesky factors for corotational elastodynamics , 2012, TOGS.
[46] Alec Jacobson,et al. Solid Geometry Processing on Deconstructed Domains , 2018, Comput. Graph. Forum.
[47] James F. O'Brien,et al. Fast simulation of mass-spring systems , 2013, ACM Trans. Graph..
[48] Robert Bridson,et al. Blended cured quasi-newton for distortion optimization , 2018, ACM Trans. Graph..