Results 71 to 80 of about 6,984 (280)

An efficient and accurate modified Adomian decomposition method for solving the Helmholtz equation with high-wavenumber [PDF]

Surveys in Mathematics and its Applications
This paper presents a modified Adomian decomposition method (MADM) for solving the one and two-dimensional Helmholtz equation with large wavenumbers. The standard Adomian decomposition method (ADM) suffers from severe divergence issues as the wavenumber ...
Saleem Nasser Alomari , Yahya Qaid Hasan   +1 more
doaj  

Rapid Fabrication of Self‐Propelled and Steerable Magnetic Microcatheters for Precision Medicine

Advanced Materials, EarlyView.
A rapid Joule heating fabrication method for the production of self‐propelling, adaptive microcatheters, with tunable stiffness and integrated microfluidic channels is presented. Demonstrated through three microrobotic designs, including a steerable guiding catheter, an untethered wave‐crawling TubeBot, and a distal‐end propelled microcatheter, it was ...
Zhi Chen, Boris Rivkin, David Castellanos‐Robles, Ivan Soldatov, Lukas Beyer, Mariana Medina‐Sánchez   +5 more
wiley   +1 more source

DUAL RECIPROCITY BOUNDARY ELEMENT METHOD FOR SOLVING TIME-DEPENDENT WATER INFILTRATION PROBLEMS IN IMPERMEABLE CHANNEL IRRIGATION SYSTEMS

Barekeng
The mathematical model of water infiltration in a furrow irrigation channel with an impermeable layer in homogeneous soil is formulated as a Boundary Value Problem (BVP) with the Modified Helmholtz Equation as the governing equation and mixed boundary ...
Yanne Irene, Muhammad Manaqib, Mochammad Rafli Alamsyah, Madona Yunita Wijaya   +3 more
doaj   +1 more source

Generalized Tikhonov Method and Convergence Estimate for the Cauchy Problem of Modified Helmholtz Equation with Nonhomogeneous Dirichlet and Neumann Datum

Mathematics, 2019
We investigate a Cauchy problem of the modified Helmholtz equation with nonhomogeneous Dirichlet and Neumann datum, this problem is ill-posed and some regularization techniques are required to stabilize numerical computation. We established the result of
Hongwu Zhang, Xiaoju Zhang
doaj   +1 more source

Asymptotic solutions of the Helmholtz equation: generalised Friedlander-Keller ray expansions of fractional order [PDF]

, 2020
Applications of a WKBJ-type `ray ansatz' to obtain asymptotic solutions of the Helmholtz equation in the high{frequency limit are now standard, and underpin the construction of `geometrical optics' ray diagrams in many electromagnetic, acoustic and ...
Tew, R.H., Tew, Richard H.
core   +1 more source

Topology and Material Optimization in Ultra‐Soft Magneto‐Active Structures: Making Advantage of Residual Anisotropies

Advanced Materials, EarlyView.
Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia, Rogelio Ortigosa, Jesús Martínez‐Frutos, Daniel Garcia‐Gonzalez   +3 more
wiley   +1 more source

Resonant Domain Wall Dynamics in a Three‐Dimensional Magnetic Nano Double Helix

Advanced Materials, EarlyView.
3D magnetic nanostructures promise exciting possibilities for magnetization dynamics. However, experimental realizations remain scarce. In nanoprinted cobalt double helices, time‐resolved X‐ray microscopy reveals harmonic domain wall dynamics. Simulations identify the mode and additional higher‐frequency resonances, revealing a rich dynamic landscape ...
Pamela Morales‐Fernández, Iason Konstantinos‐Douveas, Claas Abert, Elina Zhakina, Sandra Ruiz‐Gómez, Claudia Fernández‐González, Luke Alexander Turnbull, Sebastian Wintz, Markus König, Simone Finizio, Markus Weigand, Naëmi Leo, Dieter Suess, Aurelio Hierro‐Rodríguez, Amalio Fernández‐Pacheco, Claire Donnelly   +15 more
wiley   +1 more source

Fast quarter sweep using modified successive over-relaxation iterative methods for solving two dimensional helmholtz equation [PDF]

, 2012
New over-relaxation methods for the solution of two-dimensional Helmholtz partial deferential equations (PDEs) are described. In the Helmholtz equation, when solving the resulting PDEs using a finite difference (FD) scheme, the computations involve large
Md Akhir, Mohd Kamalrulzaman
core  

OPTIMAL ERROR BOUND AND APPROXIMATION METHODS FOR A CAUCHY PROBLEM OF THE MODIFIED HELMHOLTZ EQUATION

, 2011
We consider a Cauchy problem for a modified Helmholtz equation, especially when we give the optimal error bound for this problem. Some spectral regularization methods and a revised Tikhonov regularization method are used to stabilize the problem from ...
AILIN QIAN, YUJIANG WU
core   +1 more source

Ultra‐High‐Throughput Discovery of Multifunctional Polyphenolic Coatings on Droplet Microarrays

Advanced Materials, EarlyView.
An ultra‐high‐throughput (UHT) combinatorial strategy enables the miniaturized synthesis and screening of ≈30 000 polyamine‐polyphenolic (PaPp) coatings using droplet microarrays (DMA). This approach reveals hundreds of previously unknown fluorescent, redox‐active, and antibacterial materials, including multifunctional, cell‐compatible surfaces ...
Vania Tanda Widyaya, Joaquín E. Urrutia Gómez, Paul Reuß, Alexander Welle, Rolf A. Gattung, Jana Mayer, Peter Krolla, Markus Reischl, Pascal Friederich, Anna A. Popova, Thomas Schwartz, Pavel A. Levkin   +11 more
wiley   +1 more source