This article proposes a boundary element method for the dynamic contact between linearly elastic body and rigid obstacle. The Signorini problem is formulated as variational inequality Poincar\'{e}-Steklov operator elastodynamic equations on boundary, which solved in mixed formulation using elements time domain. We obtain an priori estimate resulting Galerkin approximations. Numerical experiment...

In the present study, an immersed boundary (IB) method for the simulation of flow around a thin flexible body is presented. The present method is based on a discrete-forcing immersed boundary method proposed by Kim et al. (JCP, 2001). The dynamic equation for a thin flexible body is coupled with the incompressible Navier-Stokes equations. With the proposed method, we simulate several flow probl...

Model reduction techniques seek approximate solutions of a problem with a large number of DOFs within a subspace of small dimension. Component Mode Synthesis (CMS) methods form a large class of reduction methods where the subspace is selected a priori. Introducing a posteriori error estimation and iterative correction significantly extends the range of applications of reduction methods. The pap...

concrete shear walls are the most prevalent structural systems resisting lateral loads due to earthquakes in high-rise buildings. very large in-plane stiffness of shear walls provides an excellent drift control in the structure. however, structural damages and early code shortcomings threaten the efficiency of existing structural walls against earthquake. recently, fiber reinforced polymer (frp...

The present work introduces the main steps towards the parallelization of existing Boundary Element Method (BEM) codes using available standard and portable libraries for writing parallel programs, such as LAPACK and ScaLAPACK. Here, a well-known BEM Fortran implementation is reviewed and rewritten to run on shared and distributed memory systems. This effort is the initial step to develop a new...

With the conventional BEM, a significant analytical step is taken at the outset, and this involves only the simplest Green's functions. The result is a representation integral for desired fields in terms of boundary values of the fields. This result is obtained before elements and approximations of any kind are introduced. Unfortunately, when only the simplest Green's functions are used, about ...

The main objective of this primer is to make the boundary element method more usable, not only among researchers but among engineers as well. This primer will provide a series of lessons and will discuss different mathematical and numerical topics of boundary element methods. In the current lesson, we will discuss: 1An introduction and overview of the boundary element method. 2Program testing m...