Actions for Anisotropic mesh adaptation for solution of finite element problems using hierarchical edge-based error estimates [electronic resource].

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Anisotropic mesh adaptation for solution of finite element problems using hierarchical edge-based error estimates [electronic resource].

Published
Washington, D.C. : United States. Dept. of Energy, 2009.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Additional Creators
Los Alamos National Laboratory, United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information
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Summary
We present a new technology for generating meshes minimizing the interpolation and discretization errors or their gradients. The key element of this methodology is construction of a space metric from edge-based error estimates. For a mesh with N{sub h} triangles, the error is proportional to N{sub h}⁻¹ and the gradient of error is proportional to N{sub h}{sup -1/2} which are optimal asymptotics. The methodology is verified with numerical experiments.
Report Numbers
E 1.99:la-ur-09-05242
E 1.99: la-ur-09-5242
la-ur-09-5242
la-ur-09-05242
Other Subject(s)
Note
Published through SciTech Connect.
01/01/2009.
"la-ur-09-05242"
" la-ur-09-5242"
18th International Meshing Roundtable ; October 25, 2009 ; Salt Lake City, UT.
Lipnikov, Konstantin; Agouzal, Abdellatif; Vassilevski, Yuri.
Funding Information
AC52-06NA25396
View MARC record | catkey: 14342725