A Nitsche-based domain decomposition method for hypersingular integral equations
نویسندگان
چکیده
منابع مشابه
A Nitsche-based domain decomposition method for hypersingular integral equations
We introduce and analyze a Nitsche-based domain decomposition method for the solution of hypersingular integral equations. This method allows for discretizations with non-matching grids without the necessity of a Lagrangian multiplier, as opposed to the traditional mortar method. We prove its almost quasi-optimal convergence and underline the theory by a numerical experiment.
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Abstract A new numerical method is introduced and investigated for the hypersingular integral equations defined in Banach spaces. The hypersingular integral equations belong to a wider class of singular integral equations having much more stronger singularities.The proposed approximation method is an extension beyond the quadrature method. Beyond the above, an error estimates theory is proposed...
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Domain decomposition methods are designed to deal with coupled or transmission problems for partial differential equations. Since the original boundary value problem is replaced by local problems in substructures, domain decomposition methods are well suited for both parallelization and coupling of different discretization schemes. In general, the coupled problem is reduced to the Schur complem...
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ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2012
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-012-0451-2