Treffer: a domain decomposition method based on natural boundary reduction for nonlinear time dependent exterior wave problems: A domain decomposition method based on natural boundary reduction for nonlinear time-dependent exterior wave problems
Title:
a domain decomposition method based on natural boundary reduction for nonlinear time dependent exterior wave problems: A domain decomposition method based on natural boundary reduction for nonlinear time-dependent exterior wave problems
Source:
Computing. 68(2):111-129
Publisher Information:
Springer, Vienna, 2002.
Publication Year:
2002
Subject Terms:
domain decomposition, convergence, algorithm, nonlinear wave equations, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Numerical computation of solutions to systems of equations, finite element method, iterative Schwarz alternating scheme, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, numerical results, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, exterior domain, Second-order nonlinear hyperbolic equations
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
ISSN:
0010-485X
DOI:
10.1007/s00607-001-1432-y
Access URL:
Accession Number:
edsair.dedup.wf.002..230c4470de1267e5a29b190d69cbaab8
Database:
OpenAIRE
Weitere Informationen
The paper presents a numerical method for solving nonlinear wave equations in an exterior domain. The method is based on a domain decomposition into a bounded computational domain and an unbounded residual domain using natural boundary reduction to eliminate spurious reflection of waves at the artifical boundaries. After discretizing the equation in time an elliptic problem is solved at each time step with a finite element method using an iterative Schwarz alternating scheme. The convergence rate of the algorithm is discussed and numerical results for a nonlinear wave equation illustrate the accuracy and efficiency of the numerical scheme.