Results 61 to 70 of about 9,477 (197)

Image De-Quantization Using Plate Bending Model

Algorithms, 2018
Discretized image signals might have a lower dynamic range than the display. Because of this, false contours might appear when the image has the same pixel value for a larger region and the distance between pixel levels reaches the noticeable difference ...
David Völgyes, Anne Catrine Trægde Martinsen, Arne Stray-Pedersen, Dag Waaler, Marius Pedersen   +4 more
doaj   +1 more source

A Geometric Multigrid Solver for the Incompressible Navier–Stokes Equations Using Discretely Divergence‐Free Finite Elements in 3D

International Journal for Numerical Methods in Fluids, Volume 97, Issue 12, Page 1609-1622, December 2025.
In this paper, we consider the concept of discretely divergence‐free finite elements (DDFFE) based on the Rannacher–Turek finite element pair to efficiently solve the three‐dimensional incompressible Navier–Stokes equations. For this purpose, we first define a spanning set of DDFFE functions and then characterize a set of basis functions for arbitrary ...
Christoph Lohmann
wiley   +1 more source

Multiple normalized solutions for Choquard equation involving the biharmonic operator and competing potentials in

Bulletin of Mathematical Sciences
This paper is concerned with the existence of multiple normalized solutions for a class of Choquard equation involving the biharmonic operator and competing potentials in [Formula: see text]: Δ2u+V(𝜀x)u=λu+G(𝜀x)(Iμ∗F(u))f(u)in ℝN,∫ℝN|u|2dx=c2, where ...
Shuaishuai Liang, Jiaying Ma, Shaoyun Shi, Yueqiang Song   +3 more
doaj   +1 more source

$p$-biharmonic equation with Hardy–Sobolev exponent and without the Ambrosetti–Rabinowitz condition

Electronic Journal of Qualitative Theory of Differential Equations, 2020
This paper is concerned with the existence and multiplicity to $p$-biharmonic equation with Sobolev–Hardy term under Dirichlet boundary conditions and Navier boundary conditions, respectively.
Weihua Wang
doaj   +1 more source

PGD for Solving the Biharmonic Equation [PDF]

Volume 1: Advanced Computational Mechanics; Advanced Simulation-Based Engineering Sciences; Virtual and Augmented Reality; Applied Solid Mechanics and Material Processing; Dynamical Systems and Control, 2012
Biharmonic problem has been raised in many research fields, such as elasticity problem in plate geometries or the Stokes flow problem formulated by using the stream function. The fourth order partial differential equation can be solved by applying many techniques. When using finite elements C1 continuity must be assured.
Xu, Guang Tao, Chinesta, Francisco, Leygue, Adrien, Visonneau, Michel   +3 more
openaire   +2 more sources

The Discretization‐Corrected Particle Strength Method for the Barotropic Vorticity Equations

International Journal for Numerical Methods in Fluids, Volume 97, Issue 11, Page 1426-1440, November 2025.
Numerical solution for the barotropic vorticity equation in complex geometry using the meshless point collocation method. The spatial domain is represented by a set of nodes. The collocation method numerically solves the strong form governing equations.
G. C. Bourantas, A. Sakellarios, N. Malamos, V. C. Loukopoulos, V. N. Burganos, K. Miller, A. Langousis, D. I. Fotiadis, A. A. Dimas, V. M. Calo   +9 more
wiley   +1 more source

Biharmonic equation with singular nonlinearity

, 2015
We consider the following problem: \begin{eqnarray*} ( P)\qquad \displaystyle\left\{\begin{array} {ll} & ^2 u = K(x)u^{- } \quad \mbox{ in }\, , \\ &u> 0\quad \mbox{ in }\, , \;\;u\vert_{\partial }=0, \, u\vert_{\partial } = 0. \end{array}\right. \end{eqnarray*} We prove the main existence result: Assume that $ + <2$. Then there
Giacomoni, J., Prashanth, S., Warnault, G.   +2 more
openaire   +2 more sources

Quantifying the Influence of Fault Geometry via Mesh Morphing With Applications to Earthquake Dynamic Rupture and Thermal Models of Subduction

Geochemistry, Geophysics, Geosystems, Volume 26, Issue 11, November 2025.
Abstract Subsurface geometries, such as faults and subducting slab interfaces, are often poorly constrained, yet they exert first‐order control on key geophysical processes, including subduction zone thermal structure and earthquake rupture dynamics.
Gabrielle M. Hobson, Dave A. May, Alice‐Agnes Gabriel   +2 more
wiley   +1 more source

Existence and nonexistence of normalized solutions for the Biharmonic equation with combined nonlinearities

Demonstratio Mathematica
This article is devoted to the study of the existence and nonexistence of normalized solutions for the following biharmonic Schrödinger equation with combined power-type ...
Liu Xiang, Huang Na, Lei Chunyu
doaj   +1 more source

Discontinuous Galerkin Isogeometric Analysis for the biharmonic equation [PDF]

Computers & Mathematics with Applications, 2018
We present and analyze an interior penalty discontinuous Galerkin Isogeometric Analysis (dG-IgA) method for the biharmonic equation in computational domain in $\mathbb{R}^d$ with $d =2,3.$ The computational domain consist of several non-overlapping sub-domains or patches.
openaire   +3 more sources