... terms. These schemes are based on the finite difference method, the finite element method and the finite element method with a specific tangential motion. We offer rigorous proofs of quadratic convergence under -norm for the first scheme and linear convergence under -norm for the latter two...

... geometric analysis (Endosize^©, Therenva, Rennes, France) and finite element methods (A4Clinics^© Research Edition, Vascops GmbH, Graz, Austria) were included. A total of 364 patients’ samples (85.4% male, median age 69 years) were scored for acute or chronic inflammation, both...

..., distribution, and reproduction in any medium, provided the original work is properly cited. For commercial re-use, please contact [email protected] Abstract High-resolution peripheral quantitative computed tomography (HR-pQCT), combined with micro-finite element (μFE) models, provide a powerful...

... element modeling morphogenesis network science plant development topology Accepted Manuscript Investigating plant morphogenesis using 3D digital organs Tejasvinee A. Mody, Ratula Ray and Kay Schneitz* Plant Developmental Biology, TUM School of Life Sciences, Technical University of Munich, Freising...

... structures is crucial for reliability and performance, particularly in high-stress environments. Traditional finite element analysis methods require a fine mesh to achieve highly accurate stress fields, which is computationally expensive and time-consuming. This paper presents a novel neural network-based...

..., and that the work properly cited. For commercial re-use, please contact [email protected] Abstract A two-grid finite element method is proposed to solve the Schrödinger–Poisson system on a Lipschitz polyhedral domain. To reduce the computational complexity, we solve the Poisson equation of electric...

... is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model ( https://dbpia.nl.go.kr/pages/standard-publication-reuse-rights ) Abstract We construct and analyse finite element approximations of the Einstein tensor in dimension . We focus on the setting...

... and distributed under the terms of the Oxford University Press, Standard Journals Publication Model ( https://dbpia.nl.go.kr/pages/standard-publication-reuse-rights ) Abstract Optimal-order convergence in the norm is proved for an arbitrary Lagrangian–Eulerian (ALE) interface tracking finite element method...

... of Numerical and LSTM Results nanoparticle shape hybrid nanofluid finite element method long short-term memory Highlights The hybrid nanofluid flow inside a lid-driven cavity with an elliptic obstacle is investigated. The solution of the projected model governing equations is evaluated by Galerkin...

... the original work is properly cited. ABSTRACT Steel-reinforced concrete slabs with profiled sheeting are heterogeneous composite structures, therefore, it is necessary to have reliable and practical methods for their calculation, taking into account the heterogeneous structure of structural elements, real...

... and distributed under the terms of the Oxford University Press, Standard Journals Publication Model ( https://dbpia.nl.go.kr/pages/standard-publication-reuse-rights ) Abstract In this paper, we analyze a nonconforming virtual element method to approximate the eigenfunctions and eigenvalues of the two...

... finite-element analysis (FEA). The proposed methodology consists of six steps, including 3D modelling, material assignment, boundary condition setup, and stress analysis using FEA. The proposed methodology's applicability is verified using octet-truss (OT) and body-centred cubic (BCC) in the interfaces...

... of this system is an isomorphism from an appropriately defined graph space to . The results rely on well-posedness and stability of the weak and ultraweak formulation of the second-order wave equation. As an application, we define and analyze a space-time least-squares finite element method for solving...

... of a finite element discretization of the diffuse interface model to the continuous diffuse model; here the weight is a power of the distance to the diffuse interface. We, in turn, prove convergence of the continuous diffuse model to the standard, sharp interface, model. Numerical examples verify the proven...

... issue associated with high mortality rates and entails significant rehabilitation costs. Conventional fracture prediction methods, primarily based on finite-element analysis (FEA), often suffer from high computational costs and limited clinical applicability. To address these limitations, this study...

..., and that the work properly cited. For commercial re-use, please contact [email protected] Abstract A convincing feature of least-squares finite element methods is the built-in a posteriori error estimator for any conforming discretization. In order to generalize this property to discontinuous...

...-style platinum-group element mineralization. This study investigates as to whether chamber replenishment contributed to the formation of the Merensky Reef and its underlying anorthosite at the Rustenburg Platinum Mine in the western lobe of the Bushveld Complex. At this location, the Merensky Reef...

... aorta over-angulation, a morphological feature recently found to be associated with acute type A aortic dissection, precedes dissection and how it affects wall stress distribution. METHODS A baseline finite element model, previously created by a neural network tool from end-diastolic computed...

... overflow. According to China’s road traffic management system, vehicles in traffic accidents are categorized as heavy vehicles (weight ≥ 12 t), medium vehicles (4.5 t ≤weight < 12 t), light vehicles (1.8 t element simulations were used...

... complex spliceosome completes the second step of splicing, generating spliced exons and a lariat intron, and releases U2, U5, and U6. ( C ) Overview of trans-acting factors and cis-acting elements involved in mRNA splicing regulation, including the U1 snRNP complex (U1), U2 snRNP complex (U2...