Proves optimal hp-convergence rates for HHO on Poisson and first rigorous p-multigrid analysis for HHO discretizations.
Existence et approximation de points selles pour certains probl `emes non lin´eaires
6 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 6representative citing papers
Mixed VEM with novel non-linear stabilization for p-Laplace equation, establishing non-Hilbertian inf-sup stability, continuity, coercivity, and a priori error estimates.
The natural decomposition method uses a source subproblem, weighted curl correction, and scalar recovery to transfer boundary data into meshfree spaces, with equivalence proven for simple domains at the continuous level.
A JAX-based differentiable BEM solver matches traditional BEM accuracy on benchmarks and supports gradient-driven acoustic geometry optimization.
A curvature-dependent correction shifts the double-well potential in Cahn-Hilliard-Stokes models to reduce artificial droplet shrinkage and keep phase fractions near physical bounds of 0 and 1.
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Optimal $hp$-error estimates and $p$-multigrid convergence for Hybrid High-Order discretizations of the Poisson equation
Proves optimal hp-convergence rates for HHO on Poisson and first rigorous p-multigrid analysis for HHO discretizations.
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A Mixed Virtual Element Method for the p-Laplace equation
Mixed VEM with novel non-linear stabilization for p-Laplace equation, establishing non-Hilbertian inf-sup stability, continuity, coercivity, and a priori error estimates.
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A Natural Decomposition Method for Essential Boundary Conditions in Noninterpolatory Meshfree Spaces
The natural decomposition method uses a source subproblem, weighted curl correction, and scalar recovery to transfer boundary data into meshfree spaces, with equivalence proven for simple domains at the continuous level.
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JAX-BEM: Gradient-Based Acoustic Shape Optimisation via a Differentiable Boundary Element Method
A JAX-based differentiable BEM solver matches traditional BEM accuracy on benchmarks and supports gradient-driven acoustic geometry optimization.
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Suppressing Spontaneous Droplet Shrinkage in Cahn-Hilliard-Stokes Microflows
A curvature-dependent correction shifts the double-well potential in Cahn-Hilliard-Stokes models to reduce artificial droplet shrinkage and keep phase fractions near physical bounds of 0 and 1.
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