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BEM‐FEM coupling for the 1D Klein–Gordon equation
Author(s) -
Aimi Alessandra,
Panizzi Stefano
Publication year - 2014
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.21888
Subject(s) - mathematics , finite element method , convergence (economics) , coupling (piping) , mathematical analysis , partial differential equation , stability (learning theory) , boundary element method , boundary value problem , physics , computer science , mechanical engineering , machine learning , engineering , economics , thermodynamics , economic growth
A transmission (bidomain) problem for the one‐dimensional Klein–Gordon equation on an unbounded interval is numerically solved by a boundary element method‐finite element method (BEM‐FEM) coupling procedure. We prove stability and convergence of the proposed method by means of energy arguments. Several numerical results are presented, confirming theoretical results. © 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 2042–2082, 2014