A new least squares stabilized Nitsche method for cut isogeometric analysis
نویسندگان
چکیده
منابع مشابه
Least – Squares Method For Estimating Diffusion Coefficient
Abstract: Determination of the diffusion coefficient on the base of solution of a linear inverse problem of the parameter estimation using the Least-square method is presented in this research. For this propose a set of temperature measurements at a single sensor location inside the heat conducting body was considered. The corresponding direct problem was then solved by the application of the ...
متن کاملLEAST – SQUARES METHOD FOR ESTIMATING DIFFUSION COEFFICIENT
Determining the diffusion coefficient based on the solution of the linear inverse problem of the parameter estimation by using the Least-square method is presented. A set of temperature measurements at a single sensor location inside the heat conducting body is required. The corresponding direct problem will be solved by an application of the heat fundamental solution.
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We extend our results on fictitious domain methods for Poisson’s problem to the case of incompressible elasticity, or Stokes’ problem. The mesh is not fitted to the domain boundary. Instead boundary conditions are imposed using a stabilized Nitsche type approach. Control of the non-physical degrees of freedom, i.e., those outside the physical domain, is obtained thanks to a ghost penalty term f...
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We extend the classical Nitsche type weak boundary conditions to a fictitious domain setting. An additional penalty term, acting on the jumps of the gradients over element faces in the interface zone, is added to ensure that the conditioning of the matrix is independent of how the boundary cuts the mesh. Optimal a priori error estimates in the H1 and L2 norms are proved as well as an upper boun...
متن کاملNitsche method for isogeometric analysis of Reissner-Mindlin plate with non-conforming multi-patches
Article history: Received 20 February 2015 Accepted 11 March 2015 Available online 24 March 2015
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ژورنال
عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering
سال: 2019
ISSN: 0045-7825
DOI: 10.1016/j.cma.2019.02.011