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A Discontinuous Galerkin (DG) Finite Element Method (FEM) approach for the 3D time dependent Maxwell equations in unbounded domains is presented. The method (implemented in the FEM library NGsolve) is based on the covariant transformation…

数值分析 · 数学 2020-02-21 Bernard Kapidani , Joachim Schöberl

In this article, the time-discretization of the fluid structure interaction model in the three-dimensional boundary domain is taken into account, which explains the mechanical interaction between the blood flow and the Hookean elasticity.…

数值分析 · 数学 2025-02-19 Woojeong Kim

A coupled BEM/FEM formulation for the transient interaction between an acoustic field and a piezoelectric scatterer is proposed. The scattered part of the acoustic wave is represented in terms of retarded layer potentials while the elastic…

数值分析 · 数学 2018-04-23 Tonatiuh Sanchez-Vizuet , Francisco-Javier Sayas

A semidiscrete Galerkin finite element method applied to time-fractional diffusion equations with time-space dependent diffusivity on bounded convex spatial domains will be studied. The main focus is on achieving optimal error results with…

数值分析 · 数学 2020-06-12 Kassem Mustapha

We introduce and analyze a discontinuous Galerkin FEM/BEM method for a time-harmonic eddy current problem written in terms of the magnetic field. We use nonconforming N\'ed\'elec finite elements on a partition of the interior domain coupled…

数值分析 · 数学 2016-11-28 Ana Alonso Rodríguez , Salim Meddahi , Alberto Valli

Approximated numerical techniques, for the solution of the elastic wave scattering problem over semi-infinite domains are reviewed. The approximations involve the representation of the half-space by a boundary condition described in terms…

计算工程、金融与科学 · 计算机科学 2014-10-14 Nicolás Guarín-Zapata , Juan Gómez , Juan Jaramillo

In this article, we present a new unified finite element method (UFEM) for simulation of general Fluid-Structure interaction (FSI) which has the same generality and robustness as monolithic methods but is significantly more computationally…

计算工程、金融与科学 · 计算机科学 2016-08-18 Yongxing Wang , Peter Jimack , Mark Walkley

In this paper, we are concerned with a time-dependent transmission problem for a thermo-piezoelectric elastic body immersed in a compressible fluid. It is shown that the problem can be treated by the boundary-field equation method, provided…

偏微分方程分析 · 数学 2021-05-28 George C. Hsiao , Tonatiuh Sánchez-Vizuet

In this paper, we develop a new mass conservative numerical scheme for the simulations of a class of fluid-structure interaction problems. We will use the immersed boundary method to model the fluid-structure interaction, while the fluid…

数值分析 · 数学 2018-06-21 Siu Wun Cheung , Eric Chung , Hyea Hyun Kim

This paper presents a numerical method for the simulation of fluid-structure interaction specifically tailored to interactions between Newtonian fluids and a large number of slender viscoelastic Cosserat rods. Because of their high…

软凝聚态物质 · 物理学 2022-01-13 S. Tschisgale , J. Fröhlich

We consider a nonlinear, moving boundary, fluid-structure interaction problem between a time dependent incompressible, viscous fluid flow, and an elastic structure composed of a cylindrical shell supported by a mesh of elastic rods. The…

偏微分方程分析 · 数学 2020-02-17 Sunčica Čanić , Marija Galić , Boris Muha

We study a fluid-structure interaction problem between a viscous incompressible fluid and an elastic beam with fixed endpoints in a static setting. The 3D fluid domain is bounded, nonsmooth and non simply connected, the fluid is modeled by…

偏微分方程分析 · 数学 2026-01-30 Vincenzo Bianca , Edoardo Bocchi , Filippo Gazzola

We present a loosely coupled approach for the solution of fluid-structure interaction problems between a compressible flow and a deformable structure. The method is based on staggered Dirichlet-Neumann partitioning. The interface motion in…

A Galerkin finite element method for the membrane elasticity problem on a meshed surface is constructed by using two-dimensional elements extended into three dimensions. The membrane finite element model is established using the intrinsic…

数值分析 · 数学 2012-03-16 Peter Hansbo , Mats G. Larson

In (J. Comput. Phys., 417, 109577, 2020) we introduced a space-time embedded-hybridizable discontinuous Galerkin method for the solution of the incompressible Navier-Stokes equations on time-dependent domains of which the motion of the…

数值分析 · 数学 2023-07-07 Tamas L. Horvath , S. Rhebergen

A fluid-structure interaction technique for the simulation of inflatable structures is introduced. The presented finite-element/boundary-element (FEBE) technique couples an isogeometric finite element discretization of a flexible shell…

数值分析 · 数学 2015-06-16 T. M. van Opstal

We aim at the stability of time-dependent motions, such as time-periodic ones, of a rigid body in a viscous fluid filling the exterior to it in 3D. The fluid motion obeys the incompressible Navier-Stokes system, whereas the motion of the…

偏微分方程分析 · 数学 2024-02-21 Toshiaki Hishida

We analyze a numerical method for the coupled system of the eddy current equations in $\mathbb{R}^3$ with the Landau-Lifshitz-Gilbert equation in a bounded domain. The unbounded domain is discretized by means of…

数值分析 · 数学 2017-02-07 Michael Feischl , Thanh Tran

An efficient and easy-to-implement method is proposed to regularize integral equations in the 3D boundary element method (BEM). The method takes advantage of an assumed three-noded triangle discretization of the boundary surfaces. The…

经典物理 · 物理学 2009-01-26 Patrick Dangla , Jean-François Semblat , H. Xiao , Nicolas Delépine

We present a new formulation of the Boundary Element Method (BEM) for simulating the non-adhesive and adhesive contact between an indenter of arbitrary shape and an elastic half-space coated with an elastic layer of different material. We…

软凝聚态物质 · 物理学 2018-07-06 Qiang Li , Roman Pohrt , Iakov A. Lyashenko , Valentin L. Popov