scholarly journals Domain Decomposition Method and High-Order Absorbing Boundary Conditions for the Numerical Simulation of the Time Dependent Schrödinger Equation with Ionization and Recombination by Intense Electric Field

2014 ◽  
Vol 64 (3) ◽  
pp. 620-646 ◽  
Author(s):  
X. Antoine ◽  
E. Lorin ◽  
A. D. Bandrauk
Keyword(s):  
Numerical Simulation ◽  
Electric Field ◽  
Boundary Conditions ◽  
Domain Decomposition ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
Absorbing Boundary Conditions ◽  
High Order ◽  
Time Dependent ◽  
Absorbing Boundary

LOCAL HIGH-ORDER ABSORBING BOUNDARY CONDITIONS FOR TIME-DEPENDENT WAVES IN GUIDES

2007 ◽  
Vol 15 (01) ◽  
pp. 1-22 ◽  
Author(s):  
THOMAS HAGSTROM ◽  
MANUELA L. DE CASTRO ◽  
DAN GIVOLI ◽  
DINA TZEMACH
Keyword(s):  
Boundary Conditions ◽  
Numerical Experiments ◽  
Optimal Choice ◽  
Absorbing Boundary Conditions ◽  
High Order ◽  
Time Dependent ◽  
Time Varying ◽  
Scalar Wave ◽  
Absorbing Boundary ◽  
Free Parameters

The scalar wave equation in a two-dimensional semi-infinite wave guide is considered. The recently proposed Hagstrom–Warburton (H–W) local high-order absorbing boundary conditions (ABCs), which are based on a modification of the Higdon ABCs, are presented in this context. The P-order ABC involves the free parameters 0 < aj ≤ 1, for j = 0, 1, …, P, which have to be chosen. The choice aj = 1 for all j is shown to be satisfactory, in general, although not necessarily optimal. The optimal choice of the parameters is discussed via both theoretical analysis and numerical experiments. In addition, an adaptive scheme which controls the time-varying values of P and aj is presented and tested.

APPLICATION OF A DOMAIN DECOMPOSITION METHOD WITH LAGRANGE MULTIPLIERS TO ACOUSTIC PROBLEMS ARISING FROM THE AUTOMOTIVE INDUSTRY

2000 ◽  
Vol 08 (03) ◽  
pp. 503-521 ◽  
Author(s):  
FRÉDÉRIC MAGOULÈS ◽  
KARL MEERBERGEN ◽  
JEAN-PIERRE COYETTE
Keyword(s):  
Finite Element ◽  
Domain Decomposition ◽  
Automotive Industry ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
Three Dimensional ◽  
Absorbing Boundary Conditions ◽  
Interface Problem ◽  
Absorbing Boundary ◽  
Element Discretization

The Finite Element Tearing and Interconnecting method for the Helmholtz equation is a recent nonoverlapping domain decomposition method for solving linear systems arising from the finite element discretization of Helmholtz problems in bounded domains. This method was validated on two-dimensional external problems with first-order absorbing boundary conditions. The purpose of this paper is to study the robustness and efficiency of iterative methods for the solution of the associated interface problem for three-dimensional interior problems arising from the automotive industry.

scholarly journals A non-overlapping Schwarz domain decomposition method with high-order finite elements for flow acoustics

2020 ◽  
Vol 369 ◽  
pp. 113223
Author(s):  
Alice Lieu ◽  
Philippe Marchner ◽  
Gwénaël Gabard ◽  
Hadrien Bériot ◽  
Xavier Antoine ◽  
...  
Keyword(s):  
Finite Elements ◽  
Domain Decomposition ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
High Order ◽  
Overlapping Schwarz

High order local absorbing boundary conditions for acoustic and elastic scattering

2020 ◽  
Vol 148 (4) ◽  
pp. 2451-2451
Author(s):  
Vianey Villamizar ◽  
Tahsin Khajah ◽  
Sebastian Acosta ◽  
Dane Grundvig ◽  
Jacob Badger ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Boundary Conditions ◽  
Absorbing Boundary Conditions ◽  
High Order ◽  
Absorbing Boundary
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