Results 181 to 190 of about 5,040,927 (317)
Finite Element Method for Garnet Diffusion Chronometry
Geochemistry, Geophysics, Geosystems, Volume 26, Issue 4, April 2025.Abstract Crystal geometries and boundary conditions significantly influence garnet diffusion chronometry results, yet they are frequently overlooked and pose challenges in the resolution of the diffusion equation under these complexities. To address these challenges, we introduced the Finite Element Method (FEM).
Hailin Wu +3 more
wiley +1 more source
Probabilistic linear widths of Sobolev space with Jacobi weights on [Formula: see text]. [PDF]
J Inequal Appl, 2017 Zhai X, Hu X.
europepmc +1 more source
On imbedding theorems for Sobolev spaces and some of their generalization
, 1967 Tosinobu Muramatu
openalex +2 more sources
Estimates in Sobolev norms $∥ ·∥^{s}_{p}$ for harmonic and holomorphic functions and interpolation between Sobolev and Hölder spaces of harmonic functions [PDF]
, 1987 Ewa Ligocka
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On Orthogonal Decomposition of a Sobolev Space
, 2016 The theme of this short article is to investigate an orthogonal decomposition of a Sobolev space and look at some properties of the inner product therein and the distance defined from the inner product. We also determine the dimension of the orthogonal difference space and show the expansion of spaces as their regularity increases.
openaire +4 more sources
On Asymptotic Behaviors of Acoustic Waves Due to High‐Contrast Material Inclusions
Studies in Applied Mathematics, Volume 154, Issue 4, April 2025.ABSTRACT This paper investigates the asymptotic behaviors of time‐harmonic acoustic waves generated by an incident wave illuminating inhomogeneous medium inclusions with high‐contrast material parameters. We derive sharp asymptotic estimates and obtain several effective acoustic obstacle scattering models when the material parameters take extreme ...
Yueguang Hu, Hongyu Liu
wiley +1 more source
Augmented Total Variation Regularization in Radon‐Type Inverse Problems
Studies in Applied Mathematics, Volume 154, Issue 4, April 2025.ABSTRACT We introduce the augmented total variation (TV$TV$) regularization method for Radon‐type inverse problems. Our novel approach incorporates a dual variable into the regularization process, thereby extending and essentially augmenting traditional TV$TV$ regularization techniques.
Nicholas E. Protonotarios +3 more
wiley +1 more source
Orlicz-Sobolev spaces and imbedding theorems
, 1971 Thomas Donaldson, Neil S. Trudinger
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The three limits of the hydrostatic approximation
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract The primitive equations are derived from the 3D Navier–Stokes equations by the hydrostatic approximation. Formally, assuming an ε$\varepsilon$‐thin domain and anisotropic viscosities with vertical viscosity νz=O(εγ)$\nu _z=\mathcal {O}(\varepsilon ^\gamma)$ where γ=2$\gamma =2$, one obtains the primitive equations with full viscosity as ε→0 ...
Ken Furukawa +5 more
wiley +1 more source