id: 05691118
dt: j
an: 05691118
au: Kaufmann, Peter; Martin, Sebastian; Botsch, Mario; Gross, Markus
ti: Flexible simulation of deformable models using discontinuous Galerkin FEM.
so: Graph. Models 71, No. 4, 153-167 (2009).
py: 2009
pu: Elsevier Science (Academic Press), San Diego, CA
la: EN
cc: 
ut: physically-based simulation; finite element methods; discontinuous Galerkin
ci: 
li: doi:10.1016/j.gmod.2009.02.002
ab: Summary: 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.
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