TY - JOUR
T1 - Layer based solutions for constrained space-time meshing
AU - Üngör, Alper
AU - Sheffer, Alla
AU - Haber, Robert B.
AU - Teng, Shang Hua
N1 - Funding Information:
✩ This work was supported in part by The Center for Process Simulation and Design under NSF grant DMS 98-73945 and The Center for Simulation of Advanced Rockets under DOE grant LLNL B341494, both at the University of Illinois at Urbana-Champaign. A preliminary version of this paper was presented at the 16th IMACS World Congress on Scientific Computation, Applied Mathematics and Simulation. This research was performed while the first, the second, and the fourth authors were at the University of Illinois at Urbana-Champaign, as a graduate student, a postdoc and a faculty, respectively. * Corresponding author. E-mail address: [email protected] (A. Üngör).
PY - 2003/9
Y1 - 2003/9
N2 - Space-time discontinuous Galerkin (DG) methods provide a solution for elastodynamic analysis, a problem that serves as a model for DG approximation of second-order hyperbolic problems. To enable a direct element-by-element solution using this technique, the underlying space-time mesh has to satisfy a special constraint. The cone constraint requires that the mesh faces cannot be steeper than a specified slope α with respect to the space domain. This paper presents two solutions to this constrained space-time meshing problem for 2D×TIME domains, one using simplicial and the other using hexahedral elements. Both methods construct the mesh one layer at a time creating elements with the same height.
AB - Space-time discontinuous Galerkin (DG) methods provide a solution for elastodynamic analysis, a problem that serves as a model for DG approximation of second-order hyperbolic problems. To enable a direct element-by-element solution using this technique, the underlying space-time mesh has to satisfy a special constraint. The cone constraint requires that the mesh faces cannot be steeper than a specified slope α with respect to the space domain. This paper presents two solutions to this constrained space-time meshing problem for 2D×TIME domains, one using simplicial and the other using hexahedral elements. Both methods construct the mesh one layer at a time creating elements with the same height.
KW - Cone constraint
KW - Discontinuous Galerkin methods
KW - Hexahedral meshes
KW - Mesh generation
KW - Space-time
KW - Tetrahedral meshes
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U2 - 10.1016/S0168-9274(03)00037-0
DO - 10.1016/S0168-9274(03)00037-0
M3 - Article
AN - SCOPUS:0041669405
SN - 0168-9274
VL - 46
SP - 425
EP - 443
JO - Applied Numerical Mathematics
JF - Applied Numerical Mathematics
IS - 3-4
ER -