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We address semigroup well-posedness for a linear, compressible viscous fluid interacting at its boundary with an elastic plate. We derive the model by linearizing the compressible Navier-Stokes equations about an arbitrary flow state, so…

偏微分方程分析 · 数学 2018-08-17 George Avalos , Pelin Guven Geredeli , Justin T. Webster

The goal of this paper is to develop and analyze some fully discrete finite element methods for a displacement-pressure model modeling swelling dynamics of polymer gels under mechanical constraints. In the model, the swelling dynamics is…

数值分析 · 数学 2009-03-25 Xiaobing Feng , Yinnian He

Tectonic faults are commonly modelled as Volterra or Somigliana dislocations in an elastic medium. Various solution methods exist for this problem. However, the methods used in practice are often limiting, motivated by reasons of…

This work concerns the continuum basis and numerical formulation for deformable materials with viscous dissipative mechanisms. We derive a viscohyperelastic modeling framework based on fundamental thermomechanical principles. Since most…

数值分析 · 数学 2021-08-12 Ju Liu , Marcos Latorre , Alison L. Marsden

This work presents a modeling framework to represent the thermomechanical behavior of complex materials based on micromechanical dynamics. The framework is applied to nuclear fuel rod elements composed of Zircaloy-2 cladding tubes and…

This paper presents a novel finite volume mooring line model based on the geometrically exact Simo-Reissner beam model for analysing the interaction between a floating rigid body and its mooring lines. The coupled numerical model is…

数值分析 · 数学 2026-01-21 Amirhossein Taran , Seevani Bali , Zeljko Tukovic , Vikram Pakrashi , Philip Cardiff

A finite element model and its equivalent electronic analogue circuit of hydraulic transmission lines have been developed. Basic equations are approximated to be a set of ordinary differential equations that can be represented in state…

流体动力学 · 物理学 2023-08-08 Jian-Jun Shu

When modelling discontinuities (interfaces) using the finite element method, the standard approach is to use a conforming finite-element mesh in which the mesh matches the interfaces. However, this approach can prove cumbersome if the…

计算工程、金融与科学 · 计算机科学 2024-06-06 Jedrzej Dobrzanski , Kajetan Wojtacki , Stanislaw Stupkiewicz

We consider numerical simulation of the isotropic elastic wave equations arising from seismic applications with non-trivial land topography. The more flexible finite element method is applied to the shallow region of the simulation domain…

数值分析 · 数学 2018-12-26 Longfei Gao , David Keyes

This paper proposes the response surface method for finite element model updating. The response surface method is implemented by approximating the finite element model surface response equation by a multi-layer perceptron. The updated…

计算工程、金融与科学 · 计算机科学 2007-05-23 Tshilidzi Marwala

The aim of this paper is to provide a survey of the state of the art in the finite element approach to the Immersed Boundary Method (FE-IBM) which has been investigated by the authors during the last decade. In a unified setting, we present…

数值分析 · 数学 2014-07-22 Daniele Boffi , Lucia Gastaldi

In ecological studies of pattern formation, models of the competitive-diffusion type are generally singularly perturbed, and the numerical approximation of such models is challenging. In this paper, we present finite element discretization…

数值分析 · 数学 2026-04-15 Xianping Li , Woinshet D. Mergia , Kailash C. Patidar

We develop a finite element method for a large deformation membrane elasticity problem on meshed surfaces using a tangential differential calculus approach that avoids the use of classical differential geometric methods. The method is also…

数值分析 · 数学 2014-10-30 Peter Hansbo , Mats G. Larson , Fredrik Larsson

The inadequacy of the classical viscous damping model in capturing dissipation across a wide range of applications has led to the development of non-viscous damping models. While non-viscous models describe damping force satisfactorily,…

软凝聚态物质 · 物理学 2025-03-13 Soumya Kanti Ganguly , Indrajit Mukherjee

If a finite element mesh contains concave elements, it is said to tangled. Tangled meshes can occur during mesh generation, mesh optimization, and large deformation simulations, and will lead to erroneous results during finite element…

数值分析 · 数学 2022-07-11 Bhagyashree Prabhune , Krishnan Suresh

Laminated glass units exhibit complex response as a result of different mechanical behavior and properties of glass and polymer foil. We aim to develop a finite element model for elastic laminated glass plates based on the refined plate…

计算工程、金融与科学 · 计算机科学 2016-08-10 Alena Zemanová , Jan Zeman , Michal Šejnoha

Semi-discrete and fully discrete mixed finite element methods are considered for Maxwell-model-based problems of wave propagation in linear viscoelastic solid. This mixed finite element framework allows the use of a large class of existing…

数值分析 · 数学 2021-06-16 Hao Yuan , Xiaoping Xie

A general approach to simulate the mechanical behavior of textile materials by taking into account all their constitutive elementary fibers and contacts between them is presented in this paper. A finite element code, based on an implicit…

材料科学 · 物理学 2009-12-08 Damien Durville

In this article, a finite element model is implemented to analyze hydro-thermal convective flow in a porous medium. The mathematical model encompasses Darcy's law for incompressible fluid behavior, which is coupled with a…

数值分析 · 数学 2024-02-27 S. M. Mallikarjunaiah , Dambaru Bhatta

We describe and evaluate a numerical solution strategy for simulating surface acoustic waves through semiconductor devices with complex geometries. This multi-physics problem is of particular relevance to the design of quantum electronic…

计算物理 · 物理学 2007-05-23 S. Rahman , H. P. Langtangen , C. H. W. Barnes