4 research outputs found
Energy-Consistent CoRotational Schemes for Frictional Contact Problems
In this paper, we consider the unilateral frictional contact problem of a hyperelastic body in the case of large displacements and small strains. In order to retain the linear elasticity framework, we decompose the deformation into a large global rotation and a small elastic displacement. This corotational approach is combined with a primal-dual active set strategy to tackle the contact problem. The resulting algorithm preserves both energy and angular momentum
Boundary elements with mesh refinements for the wave equation
The solution of the wave equation in a polyhedral domain in
admits an asymptotic singular expansion in a neighborhood of the corners and
edges. In this article we formulate boundary and screen problems for the wave
equation as equivalent boundary integral equations in time domain, study the
regularity properties of their solutions and the numerical approximation.
Guided by the theory for elliptic equations, graded meshes are shown to recover
the optimal approximation rates known for smooth solutions. Numerical
experiments illustrate the theory for screen problems. In particular, we
discuss the Dirichlet and Neumann problems, as well as the Dirichlet-to-Neumann
operator and applications to the sound emission of tires.Comment: 45 pages, to appear in Numerische Mathemati