Analytical methods for dynamic simulation of non-penetrating rigid bodies
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Newton's method for B-differentiable equations
Mathematics of Operations Research
A nonsmooth version of Newton's method
Mathematical Programming: Series A and B
Fast contact force computation for nonpenetrating rigid bodies
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
A New Class of Semismooth Newton-Type Methods for Nonlinear Complementarity Problems
Computational Optimization and Applications
Interfaces to PATH 3.0: Design, Implementation and Usage
Computational Optimization and Applications - Special issue on computational optimization—a tribute to Olvi Mangasarian, part I
A Theoretical and Numerical Comparison of Some Semismooth Algorithms for Complementarity Problems
Computational Optimization and Applications
Interactive Simulation of Solid Rigid Bodies
IEEE Computer Graphics and Applications
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Realistic Haptic Rendering of Interacting Deformable Objects in Virtual Environments
IEEE Transactions on Visualization and Computer Graphics
Velocity-based shock propagation for multibody dynamics animation
ACM Transactions on Graphics (TOG)
Adaptive deformations with fast tight bounds
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
A fast variational framework for accurate solid-fluid coupling
ACM SIGGRAPH 2007 papers
Staggered projections for frictional contact in multibody systems
ACM SIGGRAPH Asia 2008 papers
Parallel Dense Gauss-Seidel Algorithm on Many-Core Processors
HPCC '09 Proceedings of the 2009 11th IEEE International Conference on High Performance Computing and Communications
Volume contact constraints at arbitrary resolution
ACM SIGGRAPH 2010 papers
A nonsmooth Newton solver for capturing exact Coulomb friction in fiber assemblies
ACM Transactions on Graphics (TOG)
Constraint-based simulation of adhesive contact
Proceedings of the 2010 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
SPH granular flow with friction and cohesion
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
A multigrid fluid pressure solver handling separating solid boundary conditions
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
A hybrid iterative solver for robustly capturing coulomb friction in hair dynamics
Proceedings of the 2011 SIGGRAPH Asia Conference
Mass splitting for jitter-free parallel rigid body simulation
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Reflections on simultaneous impact
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
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This course provides an introduction to the definition of linear complementarity problems (LCPs) and outlines the derivation of a toolbox of numerical methods. It also presents a small convergence study on the methods to illustrate their numerical properties. The course is a good introduction to implementing numerical methods, because it includes tips and tricks for implementation based on considerable practical experience.