𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Nonreflecting Boundary Conditions for the Time-Dependent Wave Equation

✍ Scribed by Bradley Alpert; Leslie Greengard; Thomas Hagstrom

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
264 KB
Volume
180
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

✦ Synopsis

We describe a new, efficient approach to the imposition of exact nonreflecting boundary conditions for the scalar wave equation. We compare the performance of our approach with that of existing methods by coupling the boundary conditions to finite-difference schemes. Numerical experiments demonstrate a significant gain in accuracy at no additional cost.

📜 SIMILAR VOLUMES

Nonreflecting Boundary Conditions for Ti
Nonreflecting Boundary Conditions for Time-Dependent Scattering
✍ Marcus J. Grote; Joseph B. Keller 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 446 KB

of the ordinary differential equation which occurs in the boundary condition. An exact nonreflecting boundary condition was derived previously for use with the time dependent wave equation in three Finally, we shall solve a sequence of scattering problems space dimensions. Here it is shown how to c

Nonreflecting Boundary Conditions for Ma
Nonreflecting Boundary Conditions for Maxwell's Equations
✍ Marcus J Grote; Joseph B Keller 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 234 KB

Exact nonreflecting boundary conditions are derived for the time dependent Maxwell equations in three space dimensions. These conditions hold on a spherical surface B, outside of which the medium is assumed to be homogeneous, isotropic, and source-free. They are local in time and nonlocal on B, and

Accurate radiation boundary conditions f
Accurate radiation boundary conditions for the time-dependent wave equation on unbounded domains
✍ Runnong Huan; Lonny L. Thompson 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 288 KB 👁 2 views

Asymptotic and exact local radiation boundary conditions (RBC) for the scalar time-dependent wave equation, ÿrst derived by Hagstrom and Hariharan, are reformulated as an auxiliary Cauchy problem for each radial harmonic on a spherical boundary. The reformulation is based on the hierarchy of local b

Time-dependent absorbing boundary condit
Time-dependent absorbing boundary conditions for elastic wave propagation
✍ S. H. Ju; Y. M. Wang 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 315 KB

## Abstract This paper develops a finite element scheme to generate the spatial‐ and time‐dependent absorbing boundary conditions for unbounded elastic‐wave problems. This scheme first calculates the spatial‐ and time‐dependent wave speed over the cosine of the direction angle using the Higdon's on

Finite element formulation of exact non-
Finite element formulation of exact non-reflecting boundary conditions for the time-dependent wave equation
✍ Lonny L. Thompson; Runnong Huan 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 200 KB 👁 2 views

A modiÿed version of an exact Non-re ecting Boundary Condition (NRBC) ÿrst derived by Grote and Keller is implemented in a ÿnite element formulation for the scalar wave equation. The NRBC annihilate the ÿrst N wave harmonics on a spherical truncation boundary, and may be viewed as an extension of th