Layer based solutions for constrained space-time meshing

Authors:
Alper Üngör;Alla Sheffer;Robert B. Haber;Shang-Hua Teng
Affiliations:
Department of Computer Science, Duke University, Durham, NC;Computer Science Department, Technion, Haifa 32000, Israel;Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, IL;Department of Computer Science, Boston University, Boston, MA
Venue:
Applied Numerical Mathematics - Special issue: Applied numerical computing: Grid generation and solution methods for advanced simulations
Year:
2003

Citing 6
Cited 1

Space-time finite element methods for elastodynamics: formulations and error estimates

Computer Methods in Applied Mechanics and Engineering
Space-time finite element methods for second-order hyperbolic equations

Computer Methods in Applied Mechanics and Engineering
Linear-size nonobtuse triangulation of polygons

SCG '94 Proceedings of the tenth annual symposium on Computational geometry
Provably good mesh generation

Journal of Computer and System Sciences - Special issue: 31st IEEE conference on foundations of computer science, Oct. 22–24, 1990
An explicit finite element method for the wave equation

Applied Numerical Mathematics - Special issue: a festschrift to honor Professor Robert Vichnevetsky on his 65th birthday
Discontinuous Galerkin Methods: Theory, Computation and Applications

Discontinuous Galerkin Methods: Theory, Computation and Applications

Spacetime meshing with adaptive refinement and coarsening

SCG '04 Proceedings of the twentieth annual symposium on Computational geometry

Quantified Score

Hi-index	0.00

Visualization

Abstract

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.