✦ LIBER ✦

Nonreflecting boundary conditions in elastodynamics for finite element methods based upon off-surface boundary integral equations

✍ Scribed by Ata Muğan; Gregory M. Hulbert

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 397 KB
Volume: 190
Category: Article
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(00)00326-1

No coin nor oath required. For personal study only.

✦ Synopsis

In this work, an o-surface boundary integral (OSBI) method is presented as a mesh termination scheme for solving large or in®nite domain problems of elastodynamics. The boundary integral equation is discretized using ®nite element shape functions and the Neumann boundary condition term is solved for in terms of the Dirichlet boundary condition term. This expression is then substituted into associated ®nite element formulation for the interior problem. Comparisons are made using the new OSBI technique, the DtN method of Givoli and Keller and several other local nonre¯ecting boundary conditions. The proposed boundary condition is shown to be accurate, is well suited for use with ®nite element methods and is competitive with the DtN method.

📜 SIMILAR VOLUMES

Nonreflecting boundary conditions in aco

Nonreflecting boundary conditions in acoustics for finite element methods based upon off-surface boundary integral equations

✍ A. Muğan; G.M. Hulbert 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 423 KB

An o-surface boundary integral (OSBI) method is presented as a mesh termination scheme for solving large or in®nite domain problems of acoustics. By using ®nite element approximations, the discretized boundary integral equation is used to solve for the Neumann boundary condition term in terms of the

Semi-discrete stabilized finite element

Semi-discrete stabilized finite element methods for Navier–Stokes equations with nonlinear slip boundary conditions based on regularization procedure

✍ Yuan Li; Rong An 📂 Article 📅 2010 🏛 Springer-Verlag 🌐 English ⚖ 362 KB

A finite element method for analysing sk

A finite element method for analysing skin effect in conductors with unknown values of surface boundary conditions

✍ A. K. Gasiorski 📂 Article 📅 1985 🏛 John Wiley and Sons 🌐 English ⚖ 840 KB

This paper presents a method of analysing the distribution of a two-dimensional electromagnetic field in a conducting medium of known cross-section carrying sinusoidal current and of unknown numerical values of boundary conditions on conductors surfaces. The method combines the finite element and se

Implementation of exact non-reflecting b

Implementation of exact non-reflecting boundary conditions in the finite element method for the time-dependent wave equation

✍ Lonny L Thompson; Runnong Huan 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 395 KB

When solving the wave equation in in®nite regions using ®nite element methods, the domain must be truncated. We investigate the accuracy of time-dependent non-re¯ecting boundary conditions (NRBC) derived in Grote, Keller (1995), when implemented in the ®nite element method. The NRBC annihilate the ®