Mortar Finite Volume Element Methods and Domain Decompositions
نویسندگان
چکیده
منابع مشابه
Domain Decomposition Capabilities for the Mortar Finite Volume Element Methods
Since the introduction of the mortar method as a coupling technique between the spectral and nite element methods see e g it has become the most important technique in domain decomposition methods for non matching grids The active research by the scienti c computation community in this eld is motivated by its exibility and great potential for large scale parallel compu tation see e g A good des...
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In the last decade, non-conforming domain decomposition methods such as the mortar finite element method have been shown to be reliable techniques for several engineering applications that often employ complex finite element design. With this technique, one can conveniently assemble local subcomponents into a global domain without matching the finite element nodes of each subcomponent at the co...
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The mortar element methods were introduced in [BMP94] for non overlapping domain decompositions in order to couple different variational approximations in different subdomains. In the finite element context, one important advantage of the mortar element methods is that it allows for using structured grids in subdomains thus fast solvers [AAH98]. The resulting methods are nonconforming but still...
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We establish a mortar boundary element scheme for hypersingular boundary integral equations representing elliptic boundary value problems in three dimensions. We prove almost quasi-optimal convergence of the scheme in broken Sobolev norms of order 1/2. Sub-domain decompositions can be geometrically non-conforming and meshes must be quasi-uniform only on sub-domains. Numerical results confirm th...
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