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Magnetic Resonance Elastography (MRE) has become an essential tool in assessing the mechanical properties of soft tissues in-vivo, prompting significant progress in new inversion algorithms. This creates a need for a benchmarking framework…

Numerical Analysis · Mathematics 2026-04-06 Yashasvi Verma , Jakob Schattenfroh , Ingolf Sack , Silvia Budday , Paul Steinmann , Luca Heltai

Fractional order models have proven to be a very useful tool for the modeling of the mechanical behaviour of viscoelastic materials. Traditional numerical solution methods exhibit various undesired properties due to the non-locality of the…

Numerical Analysis · Mathematics 2023-01-30 Kai Diethelm

In the framework of algebraic inversion, Magnetic Resonance Elastography (MRE) repeatability, reproducibility and robustness were evaluated on extracted shear velocities (or elastic moduli). The same excitation system was implemented at two…

We introduce a time-dimensional reduction method for the inverse source problem in linear elasticity, where the goal is to reconstruct the initial displacement and velocity fields from partial boundary measurements of elastic wave…

Numerical Analysis · Mathematics 2025-06-17 Trong D. Dang , Chanh V. Le , Khoa D. Luu , Loc H Nguyen

Vessel dynamics simulation is vital in studying the relationship between geometry and vascular disease progression. Reliable dynamics simulation relies on high-quality vascular meshes. Most of the existing mesh generation methods highly…

Image and Video Processing · Electrical Eng. & Systems 2024-12-03 Dengqiang Jia , Xinnian Yang , Xiaosong Xiong , Shijie Huang , Feiyu Hou , Li Qin , Kaicong Sun , Kannie Wai Yan Chan , Dinggang Shen

We develop a method to reconstruct, from measured displacements of an underlying elastic substrate, the spatially dependent forces that cells or tissues impart on it. Given newly available high-resolution images of substrate displacements,…

Quantitative Methods · Quantitative Biology 2018-01-22 Joshua C. Chang , Yanli Liu , Tom Chou

A non-local dynamic homogenization technique for the analysis of a viscoelastic heterogeneous material which displays a periodic microstructure is herein proposed. The asymptotic expansion of the micro-displacement field in the transformed…

Applied Physics · Physics 2018-11-26 Rosaria Del Toro , Andrea Bacigalupo , Marco Paggi

The purpose of this paper is to propose a non-iterative method for the inverse conductivity problem of recovering multiple small anomalies from the boundary measurements. When small anomalies are buried in a conducting object, the electric…

Analysis of PDEs · Mathematics 2015-06-11 Ok Kyun Lee , Hyeonbae Kang , Jong Chul Ye , Mikyoung Lim

This paper proposes a thermodynamically consistent phase-field damage model for viscoelastic materials. Suitable free-energy and pseudo-potentials of dissipation are developed to build a model leading to a stress-strain relation, under the…

Numerical Analysis · Mathematics 2022-01-12 Thaís C. da Costa Haveroth , Geovane A. Haveroth , Marco L. Bittencourt , José L. Boldrini

The aim of this paper is to develop a virtual element method (VEM) for the vibration problem of thin plates on polygonal meshes. We consider a variational formulation relying only on the transverse displacement of the plate and propose an…

Numerical Analysis · Mathematics 2017-03-14 David Mora , Gonzalo Rivera , Iván Velásquez

This paper presents a novel method for the reconstruction of images from samples located at non-integer positions, called mesh. This is a common scenario for many image processing applications, such as super-resolution, warping or virtual…

Computer Vision and Pattern Recognition · Computer Science 2022-05-23 Ján Koloda , Jürgen Seiler , André Kaup

In this paper, we consider a dynamic viscoelastic contact problem with friction and wear, and describe it as a system of nonlinear partial differential equations. We formulate the previous problem as a hyperbolic quasi-variational…

Optimization and Control · Mathematics 2019-10-10 Tao Chen , Nan-jing Huang , Yi-bin Xiao

A modular method was suggested before to recover a band limited signal from the sample and hold and linearly interpolated (or, in general, an nth-order-hold) version of the regular samples. In this paper a novel approach for compensating…

Computer Vision and Pattern Recognition · Computer Science 2012-05-15 Mohammad Tofighi , Ali Ayremlou , Farokh Marvasti

This article deals with the mathematical derivation and the validation over benchmark examples of a numerical method for the solution of a finite-strain holonomic (rate-independent) Cosserat plasticity problem for materials, possibly with…

Computational Engineering, Finance, and Science · Computer Science 2019-06-20 Thomas Blesgen , Ada Amendola

We develop the maximum-entropy weak shear mass reconstruction method presented in earlier papers by taking each background galaxy image shape as an independent estimator of the reduced shear field and incorporating an intrinsic smoothness…

Astrophysics · Physics 2009-11-07 P. J. Marshall , M. P. Hobson , S. F. Gull , S. L. Bridle

The formation of shear shock waves in the brain has been proposed as one of the plausible explanations for deep intracranial injuries. In fact, such singular solutions emerge naturally in soft viscoelastic tissues under dynamic loading…

Soft Condensed Matter · Physics 2025-02-05 Harold Berjamin

Vibration and dissipation in vibro-acoustic systems can be assessed using frequency response analysis. Evaluating a frequency sweep on a full-order model can be very costly, so model order reduction methods are employed to compute…

Numerical Analysis · Mathematics 2022-10-24 Quirin Aumann , Steffen W. R. Werner

In radial fast spin-echo MRI, a set of overlapping spokes with an inconsistent T2 weighting is acquired, which results in an averaged image contrast when employing conventional image reconstruction techniques. This work demonstrates that…

Medical Physics · Physics 2016-03-02 Kai Tobias Block , Martin Uecker , Jens Frahm

Mitigating low-frequency noise is particularly challenging due to its limited natural attenuation. This study aims to design viscoelastic composite microstructures that achieve both low acoustic reflection and high internal damping by…

Applied Physics · Physics 2025-11-06 Hiroaki Deguchi , Kei Matsushima , Takayuki Yamada

We consider an immersed elastic body that is actively driven through a structured fluid by a motor or an external force. The behavior of such a system generally cannot be solved analytically, necessitating the use of numerical methods.…

Soft Condensed Matter · Physics 2023-02-15 Carlos Floyd , Suriyanarayanan Vaikuntanathan , Aaron Dinner
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