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The boundary conditions are enforced weakly via Nitsche's method.
We Accordinglys the conservation properties of the proposed method in all cases.
The no-slip boundary conditions on the particles are enforced weakly via a traction force acting as a Lagrange multiplier.
The shallow water equations are satisfied in a local discontinuous element fashion with solution continuity being enforced weakly.
The nonlinear interface conditions are enforced weakly through an adequate design of the penalties on interelement jumps of the pressure and the saturation.
The meshes on different subdomains need not align across subdomain interfaces, and the matching of discretizations on adjacent subdomains is only enforced weakly.
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We propose a Nitsche-based extension of the Kirchhoff Love theory to enforce weakly essential boundary conditions of the shell.
In typical discretizations such as the mixed finite element method, the conservation of mass is enforced only weakly, and this leads to discrete solutions which may not conserve energy, momentum, angular momentum, helicity, or vorticity, even though the physics of the Navier Stokes equations dictate that they should.
Immigration hawks have long wanted to change the public charge rules, which they describe as weakly written and weakly enforced.
Second, a method is proposed to design the monitor place for enforcing a weakly admissible linear constraint on Petri nets.
But it also revealed that pipeline rules are weakly enforced.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com