Geometric optimization of vascular stents modeled as networks of 1D rods

3D structure–2D plate–1D rod interaction problem

Hyperbolic problems for metric graphs - tools for analyzing vibrations of frame like structures

An open-source processing pipeline for quad-dominant mesh generation for class-compliant ship structural analysis

Homogenization of the time-dependent heat equation on planar one-dimensional periodic structures

Optimal design of vascular stents using a network of 1D slender curved rods

Preconditioning the Quad Dominant Mesh Generator for Ship Structural Analysis

Mathematical model of heat transfer through a conductive pipe

Numerical Modeling of the Fluid-Porohyperelastic Structure Interaction

Numerical investigation of the 2d–1d structure interaction model

Modeling and discretization methods for the numerical simulation of elastic frame structures

Modeling of heat transfer through conductive pipe

Automatic mesh generation for structural analysis in naval architecture

Optimal design of stents

A Naghdi Type Nonlinear Model for Shells with Little Regularity

A Naghdi type shell model for irregular shells

A biodegradable elastic stent model

Direct solution method for the equilibrium problem for elastic stents

Fluid–structure interaction between pulsatile blood flow and a curved stented coronary artery on a beating heart: A four stent computational study

Derivation of a poroelastic elliptic membrane shell model

Modeling and discretization methods for elastic frame structures

3D structure–2D plate interaction model

Analysis of a linear 3D fluid–mesh–shell interaction problem

3d structure - 2d plate interaction model

A new Naghdi type shell model

A dimension-reduction based coupled model of mesh- reinforced shells

Iterative methods for solving a poroelastic shell model of Naghdi's type

Quasi-semidefinite eigenvalue problem and applications

Mathematical modeling of stents as a net of 1D elastic curved rods

Numerical Methods for Hyperbolic Nets and Networks

Nonlinear bending-torsion model for curved rods with little regularity

Mixed formulation of the one-dimensional equilibrium model for elastic stents

Derivation of a poroelastic flexural shell model

Integrated Stent Models Based on Dimension Reduction: Review and Future Perspectives

A new linear Naghdi type shell model for shells with little regularity

On a model of a flexural prestressed shell

Derivation of a linear prestressed elastic rod model from three-dimensional elasticity

One-dimensional quasistatic model of biodegradable elastic curved rods

A New Linear Shell Model for Shells with Little Regularity

Derivation of the linear elastic string model from three-dimensional elasticity

Fluid-structure interaction in blood flow capturing non-zero longitudinal structure displacement

Derivation of the nonlinear bending-torsion model for a junction of elastic rods

Cardiovascular Stents as PDE Nets : 1D vs. 3D

Mechanical Behavior of Fully Expanded Commercially Available Endovascular Coronary Stents

A Novel Approach to Modeling Coronary Stents Using a Slender Curved Rod Model: A Comparison Between Fractured Xience-Like and Palmaz-Like Stents

Relaxation Theorem and Lower-Dimensional Models in Micropolar Elasticity

Existence theorem for nonlinear micropolar elasticity

Mathematical Modeling of Vascular Stents

Semicontinuity theorem in the micropolar elasticity

Numerical comparison of the beam model and 2D linearized elasticity

Evolution Model for Linearized Micropolar Plates by the Fourier Method

Derivation of a model of nonlinear micropolar plate

Evolution model of linear micropolar plate

On relative perturbation theory for block operator matrices

Derivation and justification of the model of micropolar elastic shells from three-dimensional linearized micropolar elasticity

A numerical method for solving the curved rod model

A note on reduction of dimension for linear elliptic equations

A note on the "flexural" shell model for shells with little regularity

Derivation and justification of the models of rods and plates from linearized three-dimensional micropolar elasticity

Blood Flow in Compliant Arteries: An Effective Viscoelastic Reduced Model, Numerics, and Experimental Validation

Effective Model of the Fluid Flow through Elastic Tube with Variable Radius

A two-dimensional effective model describing fluid-structure interaction in blood flow: analysis, simulation and experimental validation

Self-Consistent Effective Equations Modeling Blood Flow in Medium-to-Large Compliant Arteries

Blood flow through axially symmetric sections of compliant vessels: new effective closed models

Derivation of a model of leaf springs

A model of irregular curved rods

Modelling of curved rods

Justification of the dynamic model of curved rods

Estimates of the Sobolev norm of a product of two functions

On the stability of rotating rods and plates

One-dimensional approximations of the eigenvalue problem of curved rods

Linear Curved Rod Model. General Curve

Derivation of the elastic force of springs from the curved rod model

One-Dimensional Eigenvalue Problem for Curved Rods

Evolution model of curved rods

Dynamic model of curved rods

Derivation of a Curved Rod Model by Kirchhoff Assumptions

One-dimensional models in the theory of elasticity

Derivation and Justification of a Curved Rod Model

Derivation of curved rod model by Kirchhoff assumptions

Justification of a curved rod model

Derivation of a curved rod model