A scalable hp-adaptive discontinuous Galerkin solver for non-linear elliptic partial differential equations on curved multi-block meshes.
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Updated
Jul 11, 2022 - C
A scalable hp-adaptive discontinuous Galerkin solver for non-linear elliptic partial differential equations on curved multi-block meshes.
A field theory of coherence: autopoietic closure as a nonlinear elliptic BVP on a compact Riemannian manifold, with existence conditions, spectral viability thresholds and falsifiability criteria. Lean 4 formalization: cd-formalization.
Chebyshev Polynomial Software for Elliptic-Parabolic Systems of PDEs
Lean 4 + Mathlib existence theory for the Creative Determinant boundary value problem: positive solutions fully proved on finite weighted graphs; continuum results conditional on explicit, documented elliptic hypotheses.
Reproducible JAX benchmark comparing finite-difference solvers, PINNs, DeepONet, and Fourier neural operators on a 1D elliptic PDE: accuracy, distribution shift, resolution transfer, and computational cost.
Inhomogeneous heat flow finite-difference system
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