Derives ADSC directional edge-diffusion correction via modal rectification of centered-stencil Fourier symbol, proving consistency and stability for regularized operator and existence/qualitative convergence for nonlinear implementation.
Computer Methods in Applied Mechanics and Engineering , volume =
3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.NA 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
Proves an inf-sup stability estimate for a penalty-free asymmetric Nitsche method with Nédélec edge elements under an isolated patch condition on tetrahedral meshes.
A combined linear and nonlinear stabilization for continuous Galerkin finite elements on the transport equation yields localized a priori error bounds of order O(h^{k+1/2}) in the final-time L2 norm under local regularity assumptions.
citing papers explorer
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Modal-Rectification-Based Directional Edge Diffusion for Cartesian Convection--Diffusion Problems
Derives ADSC directional edge-diffusion correction via modal rectification of centered-stencil Fourier symbol, proving consistency and stability for regularized operator and existence/qualitative convergence for nonlinear implementation.
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A Penalty-Free Asymmetric Nitsche's Method for Edge Elements
Proves an inf-sup stability estimate for a penalty-free asymmetric Nitsche method with Nédélec edge elements under an isolated patch condition on tetrahedral meshes.
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Local error estimates for a finite element method combining linear and nonlinear stabilization for the linear hyperbolic transport equation
A combined linear and nonlinear stabilization for continuous Galerkin finite elements on the transport equation yields localized a priori error bounds of order O(h^{k+1/2}) in the final-time L2 norm under local regularity assumptions.