A C0-hybrid interior penalty discretization for the nematic Helmholtz-Korteweg equation is analyzed for stability (polynomial degree >=2, small anisotropy) and convergence, with numerical examples.
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2026 2verdicts
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Derives reliable and efficient a posteriori error estimators for a general class of stabilized finite element methods applied to time-dependent mean field games, with an improved version for specific mass-lumping and affine-preserving stabilizations.
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A hybrid $C^{0}$-interior penalty method for the nematic Helmholtz--Korteweg equation
A C0-hybrid interior penalty discretization for the nematic Helmholtz-Korteweg equation is analyzed for stability (polynomial degree >=2, small anisotropy) and convergence, with numerical examples.
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A posteriori error bounds for finite element approximations of time-dependent mean field games
Derives reliable and efficient a posteriori error estimators for a general class of stabilized finite element methods applied to time-dependent mean field games, with an improved version for specific mass-lumping and affine-preserving stabilizations.