A Nitsche-based finite element discretization is derived for the Stokes-Poisson-Boltzmann system with Navier slip conditions, including proofs of well-posedness, optimal a priori error estimates, and reliable residual-based a posteriori error estimators.
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math.NA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Nitsche's method applied to the stationary Boussinesq equations with mixed nonlinear boundary conditions yields a well-posed, optimally convergent finite element scheme with reliable a posteriori estimators under a smallness assumption on the data.
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Nitsche method for the Stokes-Poisson-Boltzmann equation with Navier slip boundary condition
A Nitsche-based finite element discretization is derived for the Stokes-Poisson-Boltzmann system with Navier slip conditions, including proofs of well-posedness, optimal a priori error estimates, and reliable residual-based a posteriori error estimators.
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Nitsche's method for the stationary Boussinesq system under mixed and nonlinear boundary conditions
Nitsche's method applied to the stationary Boussinesq equations with mixed nonlinear boundary conditions yields a well-posed, optimally convergent finite element scheme with reliable a posteriori estimators under a smallness assumption on the data.