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Titlebook: Geometrically Unfitted Finite Element Methods and Applications; Proceedings of the U Stéphane P. A. Bordas,Erik Burman,Maxim A. Olshans Con

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Impacts on School-Based Learning,o analyze different configurations without remeshing. In particular, we adopt an ad hoc enrichment for the displacement at the fracture tip and a hybrid dimensional approach for the fluid. After the presentation of the model and discretization details we discuss some test cases to assess the impact of fracture spacing on aperture during injection.
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Deriving Robust Unfitted Finite Element Methods from Augmented Lagrangian Formulations,ive contact. We will review some of the existing methods for these problems and propose some alternative methods resulting from crossovers from the Lagrange multiplier framework to Nitsche’s method and vice versa.
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Penalty-Free Nitsche Method for Interface Problems,we give the corresponding numerical results for the pure diffusion problem, additionally we consider the Stokes problem. We compare the performance of the penalty free method with the more classical symmetric and nonsymmetric Nitsche’s methods for different cases, including for the error generated in the interface fluxes.
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Unfitted FEM for Modelling the Interaction of Multiple Fractures in a Poroelastic Medium,o analyze different configurations without remeshing. In particular, we adopt an ad hoc enrichment for the displacement at the fracture tip and a hybrid dimensional approach for the fluid. After the presentation of the model and discretization details we discuss some test cases to assess the impact of fracture spacing on aperture during injection.
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https://doi.org/10.1007/978-3-319-71431-8MSC 2010: 65N12, 65N15, 65N85, 65N30, 74G15, 74S05, 74M15; geometrically unfitted finite element met
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Choice Factors and Rationales in Year 11,l. (Int. J. Numer. Methods Eng. 104(7):472–501, 2015). In particular we will consider mortaring using Lagrange multipliers on the one hand and Nitsche’s method on the other. For simplicity we will first discuss these methods in the setting of uncut meshes, and end with some comments on the extension
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The Education of the Academic Administratorlization term which provides control of the jumps in the derivatives of the finite element functions across faces in the vicinity of the boundary. We then develop the basic theoretical results including error estimates and estimates of the condition number of the mass and stiffness matrices. We appl
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