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Title: Anisotropic mesh adaptation for solution of finite element problems using hierarchical edge-based error estimates

Conference ·
OSTI ID:992202

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}{sup -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.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC52-06NA25396
OSTI ID:
992202
Report Number(s):
LA-UR-09-05242; LA-UR-09-5242; TRN: US201022%%189
Resource Relation:
Conference: 18th International Meshing Roundtable ; October 25, 2009 ; Salt Lake City, UT
Country of Publication:
United States
Language:
English