Results 31 to 40 of about 131 (94)
Water Resources Research, Volume 62, Issue 3, March 2026.Abstract Deep learning neural networks (DLNNs) hold great potential for modeling groundwater flow, but their performance depends on data availability. Physics‐informed neural networks (PINNs) help to reduce the reliance of DLNNs on data by integrating physical laws into the training process. This approach is increasingly used in applications related to
Adhish Virupaksha +5 more
wiley +1 more source
Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan +2 more
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 127, Issue 4, 28 February 2026.ABSTRACT We investigate an optimization problem that arises when working within the paradigm of Data‐Driven Computational Mechanics. In the context of the diffusion‐reaction problem, such an optimization problem seeks the continuous primal fields (gradient and flux) that are closest to some predefined discrete fields taken from a material data set. The
Pedro B. Bazon +3 more
wiley +1 more source
Multi‐Scale Electrical Conductivity Model of the Contiguous United States
Geophysical Research Letters, Volume 53, Issue 4, 28 February 2026.Abstract The completion of the Magnetotelluric (MT) USArray across the contiguous US enables continental‐scale 3‐D imaging of the asthenosphere‐lithosphere electrical structure. We present a novel 3‐D model of the contiguous United States (MECMUS), derived from a single inversion of the now‐completed USMTArray data set.
Federico D. Munch, Alexander Grayver
wiley +1 more source
Elliptic PDE learning is provably data-efficient. [PDF]
Proc Natl Acad Sci U S A, 2023 Boullé N, Halikias D, Townsend A.
europepmc +1 more source
Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces. [PDF]
Comput Math Appl, 2023 Guan Q, Queisser G, Zhao W.
europepmc +1 more source
Anomalous Dissipation and Lack of Selection in the Obukhov-Corrsin Theory of Scalar Turbulence. [PDF]
Ann PDE, 2023 Colombo M, Crippa G, Sorella M.
europepmc +1 more source
On the inverse problem of vibro-acoustography. [PDF]
Meccanica, 2023 Kaltenbacher B.
europepmc +1 more source
Mathematical Foundations of Adaptive Isogeometric Analysis. [PDF]
Arch Comput Methods Eng, 2022 Buffa A +4 more
europepmc +1 more source
On the Uniqueness of Schwarzschild-de Sitter Spacetime. [PDF]
Arch Ration Mech Anal, 2023 Borghini S, Chruściel PT, Mazzieri L.
europepmc +1 more source