Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6918950 | Computer Methods in Applied Mechanics and Engineering | 2009 | 22 Pages |
Abstract
We propose a discontinuous-Galerkin-based immersed boundary method for elasticity problems. The resulting numerical scheme does not require boundary fitting meshes and avoids boundary locking by switching the elements intersected by the boundary to a discontinuous Galerkin approximation. Special emphasis is placed on the construction of a method that retains an optimal convergence rate in the presence of non-homogeneous essential and natural boundary conditions. The role of each one of the approximations introduced is illustrated by analyzing an analog problem in one spatial dimension. Finally, extensive two- and three-dimensional numerical experiments on linear and nonlinear elasticity problems verify that the proposed method leads to optimal convergence rates under combinations of essential and natural boundary conditions.
Keywords
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Ramsharan Rangarajan, Adrián Lew, Gustavo C. Buscaglia,