Domain decomposition: parallel multilevel methods for elliptic partial differential equations
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
Variable time step integration with symplectic methods
Applied Numerical Mathematics - Special issue on time integration
Large steps in cloth simulation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
A reversible averaging integrator for multiple time-scale dynamics
Journal of Computational Physics
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
Fluid control using the adjoint method
ACM SIGGRAPH 2004 Papers
Physically based rigging for deformable characters
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
Computer Animation and Virtual Worlds - CASA 2005
Hybrid simulation of deformable solids
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Efficient simulation of inextensible cloth
ACM SIGGRAPH 2007 papers
TRACKS: toward directable thin shells
ACM SIGGRAPH 2007 papers
Simulating knitted cloth at the yarn level
ACM SIGGRAPH 2008 papers
Animating developable surfaces using nonconforming elements
ACM SIGGRAPH 2008 papers
Energy-preserving integrators for fluid animation
ACM SIGGRAPH 2009 papers
Asynchronous contact mechanics
ACM SIGGRAPH 2009 papers
Subspace self-collision culling
ACM SIGGRAPH 2010 papers
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Speculative parallel asynchronous contact mechanics
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Special Section on CAD/Graphics 2013: Canopy-frame interactions for umbrella simulation
Computers and Graphics
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Asynchronous variational integration of layered contact models provides a framework for robust collision handling, correct physical behavior, and guaranteed eventual resolution of even the most difficult contact problems. Yet, even for low-contact scenarios, this approach is significantly slower compared to its less robust alternatives---often due to handling of stiff elastic forces in an explicit framework. We propose a method that retains the guarantees, but allows for variational implicit integration of some of the forces, while maintaining asynchronous integration needed for contact handling. Our method uses phantom meshes for calculations with stiff forces, which are then coupled to the original mesh through constraints. We use the augmented discrete Lagrangian of the constrained system to derive a variational integrator with the desired conservation properties.