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CHARMS: A Simple Framework for Adaptive Simulation

Grinspun, Eitan and Krysl, Petr and Schröder, Peter (2002) CHARMS: A Simple Framework for Adaptive Simulation. ASCI Technical Report, ASCI-TR154. . (Unpublished)

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Finite element solvers are a basic component of simulation applications; they are common in computer graphics, engineering, and medical simulations. Although adaptive solvers can be of great value in reducing the often high computational cost of simulations they are not employed broadly. Indeed, building adaptive solvers can be a daunting task especially for 3D finite elements. In this paper we are introducing a new approach to produce conforming, hierarchical, adaptive refinement methods (CHARMS). The basic principle of our approach is to refine basis functions, not elements. This removes a number of implementation headaches associated with other approaches and is a general technique independent of domain dimension (here 2D and 3D), element type (e.g., triangle, quad, tetrahedron, hexahedron), and basis function order (piece-wise linear, higher order B-splines, Loop subdivision, etc.). The (un-)refinement algorithms are simple and require little in terms of data structure support. We demonstrate the versatility of our new approach through 2D and 3D examples, including medical applications and thin-shell animations.

Item Type:Report or Paper (Technical Report)
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Schröder, Peter0000-0002-0323-7674
Additional Information:This work was supported in part by NSF (DMS-9874082, ACI-9721349, DMS-9872890, ACI-9982273), the DOE (W-7405-ENG-48/B341492), Intel, Alias|Wavefront, Pixar, Microsoft, the Packard Foundation, and the Hellman Fellowship 2001 (PK). Special thanks to Mathieu Desbrun, Steven Schkolne, Sylvain Jaume, Christopher Malek, Mika Nystroem, Patrick Mullen, Jeff Bolz, Mark Meyer, Ilja Friedel, Joe Kiniry, Andrei Khodakovsky, Nathan Litke, and Zoë Wood.
Group:Accelerated Strategic Computing Initiative
Funding AgencyGrant Number
Department of Energy (DOE)W-7405-ENG-48
Department of Energy (DOE)B341492
David and Lucile Packard FoundationUNSPECIFIED
Hellman FellowshipUNSPECIFIED
Series Name:ASCI Technical Report
Issue or Number:ASCI-TR154
Record Number:CaltechAUTHORS:20230210-220110128
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:119206
Deposited By: George Porter
Deposited On:11 Feb 2023 00:19
Last Modified:11 Feb 2023 00:19

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