Error analysis of Nitsche’s mortar method
نویسندگان
چکیده
منابع مشابه
Analysis of a Multigrid Algorithm for Mortar Element Method
In this paper, a multigrid algorithm is studied for mortar element method for rotated Q1 element, the mortar condition is only dependent on the degrees of the freedom on subdomains interfaces. We prove the convergence of W-cycle multigrid and construct a variable V-cycle multigrid preconditioner which is available.
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Several a posteriori error estimators for mortar mixed finite element discretizations of elliptic equations are derived. A residual-based estimator provides optimal upper and lower bounds for the pressure error. An efficient and reliable estimator for the velocity and mortar pressure error is also derived, which is based on solving local (element) problems in a higher-order space. The interface...
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Our work concerns the approximation of the 2D Stokes equations solution based on a variational formulation with primitive variables: velocity and pressure. We choose to use the mortar spectral element method which is a domain decomposition technique. Since, this method has a high spatial and temporal complexity, we opted to parallel processing. We present, in this paper, two versions of sequent...
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A multigrid technique for uniformly preconditioning linear systems arising from a mortar finite element discretization of second order elliptic boundary value problems is described and analyzed. These problems are posed on domains partitioned into subdomains, each of which is independently triangulated in a multilevel fashion. The multilevel mortar finite element spaces based on such triangulat...
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ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2019
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-019-01039-5