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.
BEM-FEM coupling for the 1D Klein–Gordon equation / Aimi, Alessandra; Panizzi, Stefano. - In: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0749-159X. - 30:6(2014), pp. 2042-2082. [10.1002/num.21888]
BEM-FEM coupling for the 1D Klein–Gordon equation
AIMI, Alessandra;PANIZZI, Stefano
2014-01-01
Abstract
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.File in questo prodotto:
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