Algebraic multigrid theory: The symmetric case
Applied Mathematics and Computation - Second Copper Mountain conference on Multigrid methods Copper Mountain, Colorado
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
Rigorous quantitative analysis of multigrid, I: constant coefficients two-level cycle with L2-norm
SIAM Journal on Numerical Analysis - Special issue: the articles in this issue are dedicated to Seymour V. Parter
Graphical modeling and animation of brittle fracture
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Multigrid
Dynamic real-time deformations using space & time adaptive sampling
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
A multiresolution framework for dynamic deformations
Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation
Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation
Subdivision-based multilevel methods for large scale engineering simulation of thin shells
Proceedings of the seventh ACM symposium on Solid modeling and applications
CHARMS: a simple framework for adaptive simulation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
A multigrid solver for boundary value problems using programmable graphics hardware
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
Precomputing interactive dynamic deformable scenes
ACM SIGGRAPH 2003 Papers
Sparse matrix solvers on the GPU: conjugate gradients and multigrid
ACM SIGGRAPH 2003 Papers
An Algebraic Multigrid Method for Linear Elasticity
SIAM Journal on Scientific Computing
GI '04 Proceedings of the 2004 Graphics Interface Conference
Physically-Based Simulation of Objects Represented by Surface Meshes
CGI '04 Proceedings of the Computer Graphics International
A virtual node algorithm for changing mesh topology during simulation
ACM SIGGRAPH 2004 Papers
Simulating water and smoke with an octree data structure
ACM SIGGRAPH 2004 Papers
Fair morse functions for extracting the topological structure of a surface mesh
ACM SIGGRAPH 2004 Papers
Meshless deformations based on shape matching
ACM SIGGRAPH 2005 Papers
Real-Time subspace integration for St. Venant-Kirchhoff deformable models
ACM SIGGRAPH 2005 Papers
Robust quasistatic finite elements and flesh simulation
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
A fast multigrid algorithm for mesh deformation
ACM SIGGRAPH 2006 Papers
Proceedings of the 34th annual international symposium on Computer architecture
Hybrid simulation of deformable solids
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Adaptive deformations with fast tight bounds
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Volume conserving finite element simulations of deformable models
ACM SIGGRAPH 2007 papers
FastLSM: fast lattice shape matching for robust real-time deformation
ACM SIGGRAPH 2007 papers
Streaming multigrid for gradient-domain operations on large images
ACM SIGGRAPH 2008 papers
Comprehensive biomechanical modeling and simulation of the upper body
ACM Transactions on Graphics (TOG)
Flexible simulation of deformable models using discontinuous Galerkin FEM
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
A multigrid framework for real-time simulation of deformable bodies
Computers and Graphics
Computational steering for patient-specific implant planning in orthopedics
EG VCBM'08 Proceedings of the First Eurographics conference on Visual Computing for Biomedicine
Exploiting parallelism in physically-based simulations on multi-core processor architectures
EG PGV'07 Proceedings of the 7th Eurographics conference on Parallel Graphics and Visualization
Efficient elasticity for character skinning with contact and collisions
ACM SIGGRAPH 2011 papers
Sensitive couture for interactive garment modeling and editing
ACM SIGGRAPH 2011 papers
A multigrid fluid pressure solver handling separating solid boundary conditions
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
VolCCD: Fast continuous collision culling between deforming volume meshes
ACM Transactions on Graphics (TOG)
Updated sparse cholesky factors for corotational elastodynamics
ACM Transactions on Graphics (TOG)
Journal of Computational Physics
Simulation of complex nonlinear elastic bodies using lattice deformers
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Energetically consistent invertible elasticity
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Efficient preconditioning of laplacian matrices for computer graphics
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Accurate surface embedding for higher order finite elements
Proceedings of the 12th ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Journal of Scientific Computing
ACM Transactions on Graphics (TOG)
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We present a multigrid framework for the simulation of high-resolution elastic deformable models, designed to facilitate scalability on shared memory multiprocessors. We incorporate several state-of-the-art techniques from multigrid theory, while adapting them to the specific requirements of graphics and animation applications, such as the ability to handle elaborate geometry and complex boundary conditions. Our method supports simulation of linear elasticity and corotational linear elasticity. The efficiency of our solver is practically independent of material parameters, even for near-incompressible materials. We achieve simulation rates as high as 6 frames per second for test models with 256K vertices on an 8-core SMP, and 1.6 frames per second for a 2M vertex object on a 16-core SMP.