✦ LIBER ✦

A discontinuous Galerkin method for transient analysis of wave propagation in unbounded domains

✍ Scribed by Si-Hwan Park; John L. Tassoulas

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 418 KB
Volume: 191
Category: Article
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(02)00352-3

No coin nor oath required. For personal study only.

✦ Synopsis

A technique based on the discontinuous Galerkin finite element method is developed and applied to the derivation of an absorbing boundary condition for the analysis of transient wave propagation. The condition is exact in that only discretization error is involved. Furthermore, the computational cost associated with use of the condition is an order of magnitude lower than for conditions based on Green functions. The time-stepping scheme resulting from an implicit method in conjunction with this boundary condition appears to be unconditionally stable.

📜 SIMILAR VOLUMES

An Analysis of the Discontinuous Galerki

An Analysis of the Discontinuous Galerkin Method for Wave Propagation Problems

✍ Fang Q. Hu; M.Y. Hussaini; Patrick Rasetarinera 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 264 KB

The dispersion and dissipation properties of the discontinuous Galerkin method are investigated with a view to simulating wave propagation phenomena. These properties are analysed in the semi-discrete context of the one-dimensional scalar advection equation and the two-dimensional wave equation, dis

Transient analysis of wave propagation i

Transient analysis of wave propagation in non-homogeneous elastic unbounded domains by using the scaled boundary finite-element method

✍ Mohammad Hossein Bazyar; Chongmin Song 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 315 KB 👁 2 views

A high-order discontinuous Galerkin meth

A high-order discontinuous Galerkin method for wave propagation through coupled elastic–acoustic media

✍ Lucas C. Wilcox; Georg Stadler; Carsten Burstedde; Omar Ghattas 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 831 KB

We introduce a high-order discontinuous Galerkin (dG) scheme for the numerical solution of three-dimensional (3D) wave propagation problems in coupled elastic-acoustic media. A velocity-strain formulation is used, which allows for the solution of the acoustic and elastic wave equations within the sa

A Discontinuous Galerkin ALE Method for

A Discontinuous Galerkin ALE Method for Compressible Viscous Flows in Moving Domains

✍ I Lomtev; R.M Kirby; G.E Karniadakis 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 382 KB

We present a matrix-free discontinuous Galerkin method for simulating compressible viscous flows in two-and three-dimensional moving domains. To this end, we solve the Navier-Stokes equations in an arbitrary Lagrangian Eulerian (ALE) framework. Spatial discretization is based on standard structured

A discontinuous Galerkin method for seis

A discontinuous Galerkin method for seismic soil–structure interaction analysis in the time domain

✍ Si-Hwan Park; Nicolas Antin 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 314 KB 👁 1 views

Space-time finite elements for the analy

Space-time finite elements for the analysis of transient wave propagation in unbounded layered media

✍ M.N. Guddati; J.L. Tassoulas 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 574 KB

A new method is proposed for the analysis of transient wave propagation in a layered stratum[ It makes use of the separation of variables technique and reduces the spatial dimension of analysis to one[ The resulting system of hyperbolic partial di}erential equations is solved via element!by!element