Showing papers on "Smoothed finite element method published in 1997"
TL;DR: In this article, a new finite element method is presented that features the ability to include in the finite element space knowledge about the partial differential equation being solved, which can therefore be more efficient than the usual finite element methods.
Abstract: A new finite element method is presented that features the ability to include in the finite element space knowledge about the partial differential equation being solved This new method can therefore be more efficient than the usual finite element methods An additional feature of the partition-of-unity method is that finite element spaces of any desired regularity can be constructed very easily This paper includes a convergence proof of this method and illustrates its efficiency by an application to the Helmholtz equation for high wave numbers The basic estimates for a posteriori error estimation for this new method are also proved © 1997 by John Wiley & Sons, Ltd
2,387 citations
01 Jan 1997
TL;DR: This chapter introduces the finite element method (FEM) as a tool for solution of classical electromagnetic problems and discusses the main points in the application to electromagnetic design, including formulation and implementation.
Abstract: This chapter introduces the finite element method (FEM) as a tool for solution of classical electromagnetic problems. Although we discuss the main points in the application of the finite element method to electromagnetic design, including formulation and implementation, those who seek deeper understanding of the finite element method should consult some of the works listed in the bibliography section.
1,820 citations
TL;DR: In this paper, various time-domain finite-element methods for the simulation of transient electromagnetic wave phenomena are discussed, including nodal and edge/facet element basis functions, along with the numerical stability properties of the different methods.
Abstract: Various time-domain finite-element methods for the simulation of transient electromagnetic wave phenomena are discussed. Detailed descriptions of test/trial spaces, explicit and implicit formulations, nodal and edge/facet element basis functions are given, along with the numerical stability properties of the different methods. The advantages and disadvantages of mass lumping are examined. Finally, the various formulations are compared on the basis of their numerical dispersion performance.
419 citations
TL;DR: In this article, a locking-free finite element model using the form of the exact solution of the Timoshenko beam theory is developed, which yields exact nodal values for the generalized displacements for constant material and geometric properties of beams.
315 citations
TL;DR: It is demonstrated how a block-iteration allows a simple and efficient implementation of the method and how finite element meshes can be constructed adaptively on the local and the global scales.
241 citations
TL;DR: In this article, the analysis of bolted steel connections by means of finite elements is presented, where elementary tee stub connections are endowed with different plastic failure mechanisms and can be used as benchmarks in the validation process of finite element software packages.
188 citations
TL;DR: In this article, the authors summarized and reviewed several finite element formulations used to solve structural acoustics and fluid-structure interaction problems, which can be applied to a variety of applications, including acoustic cavity analyis, acoustic radiation and scattering from elastic structures vibrations of submerged structures, dynamics of fluid-filled piping systems, underwater shock analyis and transient acoustic.
149 citations
TL;DR: The ideas of algebraic topology are applied to the analysis of the finite volume and finite element methods, illuminating the similarity between the discretization strategies adopted by the two methods, in the light of a geometric interpretation proposed for the role played by the weighting functions in finite elements.
139 citations
TL;DR: An automated method has been developed to generate finite element meshes of geometrically complex structures from CT images using solely hexahedral elements which can be rapidly reconstructed which produce less error at the surface than voxel-based models with discontinuous surfaces.
115 citations
TL;DR: In this paper, the authors proposed a technique to search for the critical slip surface as well as to define and calculate the factor of safety for the slope, when the finite element method is used to model its formation.
90 citations
TL;DR: This paper addresses finite element-based computational models for the three-dimensional, (3-D) nonlinear analysis of soft hydrated tissues, such as the articular cartilage in diarthrodial joints, under physiologically relevant loading conditions.
Abstract: This paper addresses finite element-based computational models for the three-dimensional, (3-D) nonlinear analysis of soft hydrated tissues, such as the articular cartilage in diarthrodial joints, under physiologically relevant loading conditions. A biphasic continuum description is used to represent the soft tissue as a two-phase mixture of incompressible, inviscid fluid and a hyperelastic solid. Alternate mixed-penalty and velocity-pressure finite element formulations are used to solve the nonlinear biphasic governing equations, including the effects of a strain-dependent permeability and a hyperelastic solid phase under finite deformation. The resulting first-order nonlinear system of equations is discretized in time using an implicit finite difference scheme, and solved using the Newton-Raphson method. Using a discrete divergence operator, an equivalence is shown between the mixed-penalty method and a penalty method previously derived by Suh et al. [1]. In Part II [2], the mixed-penalty and velocity-p...
Book•
01 Jul 1997
TL;DR: In this article, a two-dimensional finite element program has been developed for elastic-plastic analysis using an Isoparametric quadrilateral element with four nodes and Lagrange polynomial has been chosen as interpolation function.
TL;DR: The Mortar Element method and the Finite Element Tearing and Interconnecting (FETI) method are compared, and the conclusion is in favor of the mortar element method.
Abstract: When using domain decomposition in a finite element framework for the approximation of second order elliptic or parabolic type problems, it has become appealing to tune the mesh of each subdomain to the local behaviour of the solution. The resulting discretization being then nonconforming, different approaches have been advocated to match the admissible discrete functions. We recall here the basics of two of them, the Mortar Element method and the Finite Element Tearing and Interconnecting (FETI) method, and aim at comparing them. The conclusion, both from the theoretical and numerical point of view, is in favor of the mortar element method.
Proceedings Article•
01 Jan 1997
TL;DR: This paper discusses volumetric deformable models for modeling human body parts and organs in surgery simulation systems using finite element models of linear elastic materials for real-time response condensation.
Abstract: This paper discusses volumetric deformable models for modeling human body parts and organs in surgery simulation systems. These models are built using finite element models of linear elastic materials. To achieve real-time response condensation has been applied to the system stiffness matrix, and selective matrix vector multiplication has been used to minimize the computational cost.
TL;DR: In this article, a 2D finite element model of the flat-rolling process is presented, the model being based on the flow formulation and the pseudo-concentrations technique and incorporating state-of-the-art Computational Mechanics tools.
01 Mar 1997
TL;DR: A comparative investigation of the dynamic characterization of flexible manipulators on the basis of accuracy, computational efficiency and computational requirements using finite difference (FD) and finite element (FE) methods is presented.
Abstract: This paper presents a comparative investigation of the dynamic characterization of flexible manipulators on the basis of accuracy, computational efficiency and computational requirements using finite difference (FD) and finite element (FE) methods. A constrained planar single-link flexible manipulator is considered. Finite-dimensional simulations of the manipulator are developed using FD and FE methods. The simulation algorithms thus developed are implemented on two computing domains and their performances, on the basis of accuracy in characterizing the behaviour of the manipulator and computational efficiency, are assessed.
01 Oct 1997
TL;DR: In this article, a semi-implicit finite element scheme based on a linear finite element approximation of the order parameter and a mixed finite element discretization for the equation involving the magnetic potential was proposed.
Abstract: In this paper we consider the numerical solutions of the nonlinear time-dependent Ginzburg-Landau model which describes the phase transitions taking place in superconducting films. We propose a semi-implicit finite element scheme which is based on a linear finite element approximation of the order parameter \(\psi\) and a mixed finite element discretization for the equation involving the magnetic potential A. The error estimates of the scheme are derived.
TL;DR: In this paper, the effect of finite element size in nonlinear finite element analysis of concrete structures is investigated, including the influence of element size on different behavioral aspects of reinforced concrete structures including the load-displacement and load-strain characteristics, crack pattern and ultimate load.
24 Nov 1997
TL;DR: It is shown that an appropriate measure for the nonconformity of the mortar finite element solution is the weighted $L^2$-norm of the jumps across the interfaces.
Abstract: Hierarchical a posteriori error estimators are introduced and analyzed for mortar finite element methods. A weak continuity condition at the interfaces is enforced by means of Lagrange multipliers. The two proposed error estimators are based on a defect correction in higher order finite element spaces and an adequate hierarchical two-level splitting. The first provides upper and lower bounds for the discrete energy norm of the mortar finite element solution whereas the second also estimates the error for the Lagrange multiplier. It is shown that an appropriate measure for the nonconformity of the mortar finite element solution is the weighted $L^2$-norm of the jumps across the interfaces.
TL;DR: In this paper, an adaptive mesh refinement procedure is introduced and used in static plate bending finite element analysis based on Mindlin-Reissner assumptions to study the edge effects which occur in plates with certain types of boundary conditions.
TL;DR: In this paper, the authors present some recent advances for the finite element analysis of automobile structures, which pertain to the development of effective basic finite element procedures and the efficient solution of large systems of equations.
TL;DR: In this article, the authors proposed to control the time step size automatically within the program to save computing time substantially, by estimating the local truncation errors at each timestep using backward Euler's method or Crank-Nicolson's method.
Abstract: Although the time stepping finite element method (FEM) is a powerful tool to simulate the operation of electrical machines, it has not been applied to practical problems widely because it requires a large amount of CPU time. This paper proposes to control the time step size automatically within the program to save computing time substantially. It is shown that only simple formulae for estimating the local truncation errors at each timestep using backward Euler's method or Crank-Nicolson's method are all that are required to be derived. These formulae require no extra complicated computation. Hence the reported algorithm can be extended easily to many finite element investigations to more FEM a practical tool to industrial problems. The strategy in choosing the optimal step size is described. The proposed algorithm is then used to study the transient behaviour of an induction motor.
TL;DR: In this paper, a generalized plane strain finite element was developed for the analysis of poroelasticity problems and the validity and accuracy of the special element was demonstrated by analyzing inclined borehole problems in isotropic and transversely isotropical poroelsastic materials.
01 Jan 1997
TL;DR: In this paper, the authors present numerical studies of laser cutting by 3D finite element modelling with the ANSYS Parametric Design Language available in the general-purpose finite element code ANsYS5.0/ED on personal computers.