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Finite Element Method Application for the Impedance Eduction Problem on “Interferometer with the Flow” Installations
AbstractThis paper uses the finite element method (FEM) to study sound propagation in installations of the “interferometer with the flow” type in...
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An adaptive finite element method for Riesz fractional partial integro-differential equations
The Riesz fractional derivative has been employed to describe the spatial derivative in a variety of mathematical models. In this work, the accuracy...
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An Energy-based Overset Finite Element Method for Pseudo-static Structural Analysis
This paper addresses a simple energy-based overset finite element method (EbO-FEM) to solve pseudo-static deformation problems consisting of...
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Schemes of Finite Element Method for Solving Multidimensional Boundary Value Problems
We propose new computational schemes and algorithms of the finite element method for solving elliptic multidimensional boundary value problems with...
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Transient swelling-induced finite bending of hydrogel-based bilayers: analytical and FEM approaches
Hydrogels with their time-dependent intrinsic behaviors have recently been used widely in soft structures as sensors/actuators. One of the most...
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Introduction to the Finite Element Method
The first chapter classifies the content as well as the focus of this textbook. The importance of computational methods in the modern design process...
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An adaptive finite element PML method for Helmholtz equations in periodic heterogeneous media
The paper concerns the numerical solution for the wave propagation problem in periodic heterogeneous media. The homogenization method is utilized for...
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A posteriori error estimates for a dual finite element method for singularly perturbed reaction–diffusion problems
A posteriori error estimates are established for a two-step dual finite element method for singularly perturbed reaction–diffusion problems. The...
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A balanced finite-element method for an axisymmetrically loaded thin shell
We analyse a finite-element discretisation of a differential equation describing an axisymmetrically loaded thin shell. The problem is singularly...
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The supercloseness of the finite element method for a singularly perturbed convection-diffusion problem on a Bakhvalov-type mesh in 2D
For singularly perturbed convection-diffusion problems, supercloseness analysis of the finite element method is still open on Bakhvalov-type meshes,...
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A SFBEM–FEM coupling method for solving crack problems based on Erdogan fundamental solutions
The boundary element method (BEM) has proven to be an efficient approach for crack analysis in fracture mechanics, while its versatility in...
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Exponentially Convergent Multiscale Finite Element Method
We provide a concise review of the exponentially convergent multiscale finite element method (ExpMsFEM) for efficient model reduction of PDEs in...
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Pointwise adaptive non-conforming finite element method for the obstacle problem
In this article, we develop a posteriori error analysis of a non-conforming finite element method in the supremum norm for the elliptic obstacle...
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Finite Element Methods with Higher Order Polynomials
The Finite Element Method (FEM) has recently been implemented in the fluid mechanics field to solve the instabilities that arise as a result of the...
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A Divergence-Free Petrov–Galerkin Immersed Finite Element Method for Stokes Interface Problem
The paper proposes a Petrov–Galerkin immersed finite element (PGIFE) method for solving Stokes interface problems. We employ the uniform mesh which...
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A Dimensional-Splitting Weak Galerkin Finite Element Method for 2D Time-Fractional Diffusion Equation
In this article, the weak Galerkin finite element method, coupled with an operator-splitting method or known as dimensional-splitting technique, is...
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Studies about Solution Convergence of the Spline Version of the Finite Element Method in Two-Dimensional and Three-Dimensional Formulations
AbstractThe issues of sampling, convergence and reliability of the calculation results, while the shells are in the stress-strain state, by the...
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Convergence and Error Estimates of a Mixed Discontinuous Galerkin-Finite Element Method for the Semi-stationary Compressible Stokes System
In this paper, we study a mixed discontinuous Galerkin-finite element method (DG-FEM) for solving the semi-stationary compressible Stokes system in a...
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Stabilised finite element method for Stokes problem with nonlinear slip condition
This work introduces a stabilised finite element formulation for the Stokes flow problem with a nonlinear slip boundary condition of friction type....
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Galerkin-based quasi-smooth manifold element (QSME) method for anisotropic heat conduction problems in composites with complex geometry
The accurate and efficient analysis of anisotropic heat conduction problems in complex composites is crucial for structural design and performance...