[00866] BEM and related methods for advanced applications
Session Time & Room : 5D (Aug.25, 15:30-17:10) @E704
Type : Proposal of Minisymposium
Abstract : Since its early days, the Boundary Element Method (BEM) has been selected as an accurate, scalable and reliable tool in computational science and engineering. In particular, in the last three decades, the number of its applications to cutting edge academic/industrial fields has impressively grown up. This Minisymposium is devoted to application aspects of BEM and its main goal is to bring together experts in this field, belonging to different international research groups, to discuss on the most recent advances and current open challenges on fast and innovative strategies for real-life applications.
[04974] Time domain boundary elements and mesh refinements
Format : Online Talk on Zoom
Author(s) :
Heiko Gimperlein (University of Innsbruck)
Abstract : We discuss recent and on-going progress for time-domain boundary element methods for wave and elastodynamic problems, with a focus on locally refined meshes. Solutions of the time-dependent equations exhibit singularities due to geometry (corners), mixed or nonlinear (contact) boundary conditions. We discuss well-posed formulations for such problems as well as their approximation on locally refined meshes by h- and hp-versions. A priori and a posteriori esti-
mates for the approximation error are presented for both the weakly singular and the hypersingular integral equations. The a posteriori estimates lead to an adaptive mesh refinement procedure. Numerical experiments illustrate the theoretical results. (joint with A. Aimi, G. Di Credico, C. Oezdemir and E. P. Stephan)
[05091] On improving the flexibility of an IgA-BEM multi-patch code
Format : Online Talk on Zoom
Author(s) :
Alessandra Sestini (Università di Firenze)
Abstract : Two flexibility improvements are introduced of a 3D multi-patch IgA-BEM approach for Helmholtz based on B-spline tailored numerical integration. The first concerns the possibility of developing the discretization in non-conforming C^0 multi-patch spline spaces, thus ensuring adaptivity at the patch level. The second consists in the capability of using non uniform tensor product formulations of the adopted quadrature rules which are based on quasi-interpolation. This allows us to deal with non-smooth inter-patch junctions.
[04013] Solving 2D linear elastic wave equations by scalar potentials
Format : Online Talk on Zoom
Author(s) :
Silvia Falletta (Polytechnic University of Turin)
Abstract : This talk focuses on the simulation of 2D soft scattering elastic wave propagation in isotropic homogeneous media, using the scalar potential decomposition in the time-harmonic regime. For problems defined in bounded domains, a Virtual Element Method (VEM) with varying mesh sizes and degrees of accuracy is proposed to approximate the two scalar potentials. For unbounded domains, a boundary element method is coupled with the VEM.
[04853] Time-Domain BEM for the resolution of Elastodynamic Contact Problems
Format : Online Talk on Zoom
Author(s) :
Giulia Di Credico (University of Parma)
Alessandra Aimi (University of Parma)
Heiko Gimperlein (University of Innsbruck)
Abstract : We investigate a boundary element method (BEM) for the dynamic contact between a linearly elastic body and a rigid obstacle. The so-called Signorini problem is formulated on the boundary as a variational inequality for the elastodynamic equations, for which we consider a mixed formulation solvable by time-domain BEM coupled with Uzawa algorithm. Both theoretical and algorithmic aspects are discussed and numerical experiments, presented for different 2D geometries, show the optimal performance of the proposed approach.
