Search
Search Results
-
Finite-Element Analysis of the Parameters of Fracture in a Piezoelectric Bimaterial with Interface Crack for Various Types of Boundary Conditions on its Faces
By the finite-element method, we study the stress-strain state of an interface crack in a piezoelectric bimaterial polarized in the direction...
-
Approximation of One-Dimensional Darcy–Brinkman–Forchheimer Model by Physics Informed Deep Learning Feedforward Artificial Neural Network and Finite Element Methods: A Comparative Study
In the last few years, a new research program such as deep learning neural networks (or simulated neural networks )—a class of machine learning...
-
Finite Element Discretization of a Biological Network Formation System: A Preliminary Study
A finite element discretization is developed for the Cai-Hu model, describing the formation of biological networks. The model consists of a non...
-
The Hermite Finite Volume Method with Global Conservation Law
We construct a high-order (cubic) Hermite finite volume method (FVM-2L) with a two-layered dual strategy on triangular meshes, which possesses the...
-
Goal-oriented adaptive finite element methods with optimal computational complexity
We consider a linear symmetric and elliptic PDE and a linear goal functional. We design and analyze a goal-oriented adaptive finite element method,...
-
Semiautomatic Modeling of Bone Tissue from Medical Image for Finite Element Method Based Biomechanical Studies
Finite element method (FEM) biomechanical analyses have proved their effectiveness on prosthesis set up and bone tissue biomechanical behavior...
-
Three-dimensional general magneto-electro-elastic finite element model for multiphysics nonlinear analysis of layered composites
In this paper, by defining a general potential energy for the multiphase coupled multiferroics and applying the minimum energy principle, the coupled...
-
A reduced Galerkin finite element formulation based on proper orthogonal decomposition for the generalized KDV-RLW-Rosenau equation
This paper investigates reduced-order modeling of the Korteweg de Vries regularized long-wave Rosenau (KdV-RLW-Rosenau) equation using semi- and...
-
Finite Element Modelling of a Nonplanar Strike Slip Fault in Vertically Inhomogeneous Viscoelastic Medium
We introduce a mathematical model of a long, surface breaking strike-slip fault lying in an inhomogeneous viscoelastic half space of Maxwell type...
-
Robust space-time finite element methods for parabolic distributed optimal control problems with energy regularization
As in our previous work ( SINUM 59(2):660–674, 2021) we consider space-time tracking optimal control problems for linear parabolic initial boundary...
-
Space-Time Hexahedral Finite Element Methods for Parabolic Evolution Problems
Time-step** methods in combination with some spatial discretization method like the finite element method (FEM) are still the standard approach to...
-
An adaptive FEM for the elastic transmission eigenvalue problem with different elastic tensors and different mass densities
The elastic transmission eigenvalue problem, arising from the inverse scattering theory, plays a critical role in the qualitative reconstruction...
-
Meshfree Multiscale Method for Richards’ Equation in Fractured Media
AbstractIn this paper, we develop a meshfree multiscale method for solving the unsaturated filtration problem in fractured media described by...
-
Unconditional superconvergence analysis of an energy-stable finite element scheme for nonlinear Benjamin–Bona–Mahony–Burgers equation
In this paper, an energy-stable Crank–Nicolson fully discrete finite element scheme is proposed for the Benjamin–Bona–Mahony–Burgers equation....
-
On Implementing Boundary Conditions for a Rate-Form Quasi-Static Contact Problem with Friction: A Node-to-Facet Finite Element Approach
AbstractA quasi-static geometrically non-linear initial-boundary value problem is considered in a rate form for investigating deformation of a solid....
-
Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow
An artificial tangential velocity is introduced into the evolving finite element methods for mean curvature flow and Willmore flow proposed by Kovács...
-
New Analysis of Mixed Finite Element Methods for Incompressible Magnetohydrodynamics
This paper focuses on new error analysis of a class of mixed FEMs for stationary incompressible magnetohydrodynamics with the standard inf-sup stable...
-
Generalized multiscale finite element methods. Main concepts and overview
Some of the previous multiscale finite element concepts focus on constructing one basis function per node.
-
A Mixed FEM for a Time-Fractional Fokker–Planck Model
We propose and analyze a mixed finite element method for the spatial approximation of a time-fractional Fokker–Planck equation in a convex polyhedral...
-
An investigation on multilayer shape memory polymers under finite bending through nonlinear thermo-visco-hyperelasticity
This study presents a semi-analytical solution to describe the behavior of shape memory polymers (SMPs) based on the nonlinear...