A stability-derived CPINN framework for Oseen problems yields pressure-robust velocity approximations and optimal error rates in H^1 for velocity and L^2 for pressure under Besov regularity.
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6 Pith papers cite this work. Polarity classification is still indexing.
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Bounded commuting projections for the 3D de Rham complex are built that preserve discrete polynomial traces and remain stable in a graph norm controlled by local oscillation near the boundary.
Proves well-posedness of the linearized R13 moment model via 2-by-2 block structure in the LBB saddle-point framework together with new coercivity estimates for symmetric traceless tensor fields.
A structure-preserving upwind DG scheme with convex splitting for the Cahn-Hilliard-Darcy tumor growth model that maintains mass conservation, pointwise bounds, and a discrete energy law.
A sign-changing-adapted CEM-GMsFEM with auxiliary-space modifications, shown numerically effective and theoretically stable under T-coercivity plus technical assumptions.
citing papers explorer
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Structure-Preserving and Pressure-Robust PINNs for Incompressible Oseen Problems
A stability-derived CPINN framework for Oseen problems yields pressure-robust velocity approximations and optimal error rates in H^1 for velocity and L^2 for pressure under Besov regularity.
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Bounded, Commuting, Discrete-trace Preserving Projections
Bounded commuting projections for the 3D de Rham complex are built that preserve discrete polynomial traces and remain stable in a graph norm controlled by local oscillation near the boundary.
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Well-Posedness of the Linear Regularized 13-Moment Equations Using Tensor-Valued Korn Inequalities
Proves well-posedness of the linearized R13 moment model via 2-by-2 block structure in the LBB saddle-point framework together with new coercivity estimates for symmetric traceless tensor fields.
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Structure-preserving upwind DG scheme for a Cahn-Hilliard-Darcy model of tumor growth
A structure-preserving upwind DG scheme with convex splitting for the Cahn-Hilliard-Darcy tumor growth model that maintains mass conservation, pointwise bounds, and a discrete energy law.
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Multiscale modeling for a class of high-contrast heterogeneous sign-changing problems
A sign-changing-adapted CEM-GMsFEM with auxiliary-space modifications, shown numerically effective and theoretically stable under T-coercivity plus technical assumptions.
- Sharp inf-sup estimate for the Stokes equation in tight domains with periodic pillars and some numerical implications