Results 151 to 160 of about 13,010 (261)

Generalizations of the Dirichlet Problem for Bianalytic Functions

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We prove the Dirichlet problem for second‐order iterated Vekua equations, a natural generalization of the Bitsadze equation, is well‐posed when the boundary condition is defined as a product of an exponential function and a polynomial on a non‐degenerate conic that is not a circumference.
William L. Blair
wiley   +1 more source

An Implicit Nodal–Staggered Finite Difference Scheme for Damped Shear Beam Models Without Rotational Inertia

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop and analyze a fully discrete finite difference approximation for a damped shear beam model with mixed boundary conditions and no rotational inertia. The absence of a second‐order time derivative in the rotational equation gives rise to an asymmetric temporal structure.
Anderson de Jesus Araújo Ramos   +3 more
wiley   +1 more source

High Dynamic Range Turbo‐FLASH B1 Mapping for Characterizing Multi‐Transmit Multi‐Receive RF Arrays, Validated at 7 T and 11.7 T

open access: yesMagnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Transmit (B1+) and receive (B1−) sensitivities of parallel‐transmit/receive RF array are a prerequisite for modern ultra‐high‐field MRI. Their accurate mapping remains challenging for coils with high transmit dynamic range, particularly in regions with low combined‐mode B1+ magnitude, where standard reconstruction is impaired by noise.
Natalia Dudysheva   +5 more
wiley   +1 more source

Accelerated MR Elastography Using Learned Neural Network Representation

open access: yesMagnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To develop a deep‐learning method for achieving fast high‐resolution MR elastography from highly undersampled data without the need for high‐quality training datasets. Methods We first reframed the deep neural network representation as a nonlinear extension of the linear subspace model, then used it to represent and reconstruct MRE ...
Xi Peng
wiley   +1 more source

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