The boundary element method for three-dimensional stokes flows exterior to an open surface

An adaptive boundary element method for the exterior Stokes problem in three dimensions

We present an adaptive refinement strategy for the h-version of the boundary element method with weakly singular operators on surfaces. The model problem deals with the exterior Stokes problem, and thus considers vector functions. Our error indicators are computed by local projections onto 1D subspaces defined by mesh refinement. These indicators measure the error separately for the vector comp...

An immersed boundary method for simulating the dynamics of three-dimensional axisymmetric vesicles in Navier-Stokes flows

Article history: Received 30 October 2012 Received in revised form 14 June 2013 Accepted 13 October 2013 Available online 18 October 2013

Application of the Boundary Element Method to Three-Dimensional Dynamic Solution of Fluid-Saturated Porous Media Problems

Application of the Boundary Element Method to Three-Dimensional Dynamic Solution of Fluid-Saturated Porous Media Problems

Adaptive boundary conditions for exterior stationary flows in three dimensions

Recently there has been an increasing interest for a better understanding of ultra low Reynolds number ‡ows. In this context we present a new setup which allows to e¢ ciently solve the stationary incompressible Navier-Stokes equations in an exterior domain in three dimensions numerically. The main point is that the necessity to truncate for numerical purposes the exterior domain to a …nite sub-...