SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Graphical modeling and animation of brittle fracture
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Iterative solution of linear systems in the 20th century
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. III: linear algebra
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
CHARMS: a simple framework for adaptive simulation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Graphical modeling and animation of ductile fracture
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
SIAM Journal on Numerical Analysis
Dynamic Free-Form Deformations for Animation Synthesis
IEEE Transactions on Visualization and Computer Graphics
Fast and accurate computation of polyhedral mass properties
Journal of Graphics Tools
Interactive Simulation of Surgical Cuts
PG '00 Proceedings of the 8th Pacific Conference on Computer Graphics and Applications
A State Machine for Real-Time Cutting of Tetrahedral Meshes
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
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
Point based animation of elastic, plastic and melting objects
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Mean value coordinates for closed triangular meshes
ACM SIGGRAPH 2005 Papers
Meshless animation of fracturing solids
ACM SIGGRAPH 2005 Papers
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Hybrid Cutting of Deformable Solids
VR '06 Proceedings of the IEEE conference on Virtual Reality
Squashing cubes: automating deformable model construction for graphics
SIGGRAPH '04 ACM SIGGRAPH 2004 Sketches
Fast arbitrary splitting of deforming objects
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
Arbitrary cutting of deformable tetrahedralized objects
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
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
A finite element method for animating large viscoplastic flow
ACM SIGGRAPH 2007 papers
Harmonic coordinates for character articulation
ACM SIGGRAPH 2007 papers
PriMo: coupled prisms for intuitive surface modeling
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Efficient linear system solvers for mesh processing
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
Optimizing cubature for efficient integration of subspace deformations
ACM SIGGRAPH Asia 2008 papers
Joint-aware manipulation of deformable models
ACM SIGGRAPH 2009 papers
Enrichment textures for detailed cutting of shells
ACM SIGGRAPH 2009 papers
Preserving topology and elasticity for embedded deformable models
ACM SIGGRAPH 2009 papers
Capture and modeling of non-linear heterogeneous soft tissue
ACM SIGGRAPH 2009 papers
Mesh cutting during real-time physical simulation
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
An efficient multigrid method for the simulation of high-resolution elastic solids
ACM Transactions on Graphics (TOG)
ACM Transactions on Graphics (TOG)
Sparse meshless models of complex deformable solids
ACM SIGGRAPH 2011 papers
Mesh cutting during real-time physical simulation
Computer-Aided Design
Physics-based character skinning using multi-domain subspace deformations
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Corotated SPH for deformable solids
NPH'09 Proceedings of the Fifth Eurographics conference on Natural Phenomena
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We propose a simulation technique for elastically deformable objects based on the discontinuous Galerkin finite element method (DG FEM). In contrast to traditional FEM, it overcomes the restrictions of conforming basis functions by allowing for discontinuous elements with weakly enforced continuity constraints. This added flexibility enables the simulation of arbitrarily shaped, convex and non-convex polyhedral elements, while still using simple polynomial basis functions. For the accurate strain integration over these elements we propose an analytic technique based on the divergence theorem. Being able to handle arbitrary elements eventually allows us to derive simple and efficient techniques for volumetric mesh generation, adaptive mesh refinement, and robust cutting.