A Domain Decomposition Method for the Acoustic Wave Equation Allowing for Discontinuous Coefficients and Grid Change

dc.contributor.authorBamberger, Alainen_US
dc.contributor.authorGlowinski, Rolanden_US
dc.contributor.authorTran, Quang Huyen_US
dc.date.accessioned2018-06-18T17:41:49Zen_US
dc.date.available2018-06-18T17:41:49Zen_US
dc.date.issued1994-01en_US
dc.date.noteJanuary 1994en_US
dc.description.abstractA domain decomposition technique is proposed for the computation of the acoustic wave equation, in which the bulk modulus and density fields are allowed to be discontinuous at the interfaces. Inside each subdomain, the method presented coincides with the second order finite difference schemes traditionally used in geophysical modelling. However, the possibility of assigning to each subdomain its own space-step makes numerical simulations much less expensive. Another interest of the method lies in the fact that its hybrid variational formulation naturally leads to exact equations for gridpoints on the interfaces. Transposing Babuska-Brezzi's formalism on mixed and hybrid finite elements provides a suitable functional framework for this domain decomposition formulation and shows that the inf-sup condition remains the basic requirement for convergence to occur.en_US
dc.format.extent69 ppen_US
dc.identifier.citationBamberger, Alain, Glowinski, Roland and Tran, Quang Huy. "A Domain Decomposition Method for the Acoustic Wave Equation Allowing for Discontinuous Coefficients and Grid Change." (1994) <a href="https://hdl.handle.net/1911/101828">https://hdl.handle.net/1911/101828</a>.en_US
dc.identifier.digitalTR94-05en_US
dc.identifier.urihttps://hdl.handle.net/1911/101828en_US
dc.language.isoengen_US
dc.titleA Domain Decomposition Method for the Acoustic Wave Equation Allowing for Discontinuous Coefficients and Grid Changeen_US
dc.typeTechnical reporten_US
dc.type.dcmiTexten_US
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