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
Volume conserving finite element simulations of deformable models
ACM SIGGRAPH 2007 papers
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
Flexible simulation of deformable models using discontinuous Galerkin FEM
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Polyhedral finite elements using harmonic basis functions
SGP '08 Proceedings of the Symposium on Geometry Processing
Efficient linear system solvers for mesh processing
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
An efficient multigrid method for the simulation of high-resolution elastic solids
ACM Transactions on Graphics (TOG)
Real-time large-deformation substructuring
ACM SIGGRAPH 2011 papers
Real-time cutting simulation of meshless deformable object using dynamic bounding volume hierarchy
Computer Animation and Virtual Worlds
Enriching coarse interactive elastic objects with high-resolution data-driven deformations
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Enriching coarse interactive elastic objects with high-resolution data-driven deformations
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Accurate surface embedding for higher order finite elements
Proceedings of the 12th ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Fine water with coarse grids: combining surface meshes and adaptive discontinuous Galerkin
ACM SIGGRAPH 2013 Posters
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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. Furthermore, we show DG FEM not to suffer from locking artifacts even for nearly incompressible materials, a problem that in standard FEM requires special handling.