Results 21 to 30 of about 1,340,026 (338)
The finite element method with penalty [PDF]
Mathematics of Computation, 1973 An application of the penalty method to the finite element method is analyzed. For a model Poisson equation with homogeneous Dirichlet boundary conditions, a variational principle with penalty is discussed. This principle leads to the solution of the Poisson equation by using functions that do not satisfy the boundary condition. The rate of convergence
openaire +1 more source
High-Accuracy Finite Element Method: Benchmark Calculations
EPJ Web of Conferences, 2018 We describe a new high-accuracy finite element scheme with simplex elements for solving the elliptic boundary-value problems and show its efficiency on benchmark solutions of the Helmholtz equation for the triangle membrane and hypercube.
Gusev Alexander +7 more
doaj +1 more source
Nihon Kikai Gakkai ronbunshu, 2016 This paper presents a novel Formulated Alpha FEM with deviatoric / volumetric split, which is combination of standard FEM and Node-based Smoothed FEM (NS-FEM), to compute highly accurate deformation in mechanical problems using tetrahedral elements.
Masaki FUJIKAWA +5 more
doaj +1 more source
A generalized finite element method for linear thermoelasticity [PDF]
, 2016 We propose and analyze a generalized finite element method designed for linear quasistatic thermoelastic systems with spatial multiscale coefficients.
Målqvist, Axel, Persson, Anna
core +2 more sources
Automating the Finite Element Method [PDF]
Archives of Computational Methods in Engineering, 2007 The finite element method can be viewed as a machine that automates the discretization of differential equations, taking as input a variational problem, a finite element and a mesh, and producing as output a system of discrete equations. However, the generality of the framework provided by the finite element method is seldom reflected in ...
openaire +2 more sources
Evaluation of Fracture Parameters by Coupling the Edge-Based Smoothed Finite Element Method and the Scaled Boundary Finite Element Method [PDF]
Journal of Applied and Computational Mechanics, 2019 This paper presents a technique to evaluate the fracture parameters by combining the edge based smoothed finite element method (ESFEM) and the scaled boundary finite element method (SBFEM).
M. Surendran +2 more
doaj +1 more source
Quantum-assisted hλ-adaptive finite element method
Partial Differential Equations in Applied MathematicsQuantum computing is a rapidly advancing field, driven by the potential advantages derived from the unique properties of quantum entanglement. In particular, the exponential speedup of certain carefully designed algorithms, compared to their classical ...
R.H. Drebotiy, H.A. Shynkarenko
doaj +1 more source
FINITE ELEMENT METHOD FOR INCOMPRESSIBLE VISCOELASTIC MATERIALS
Journal of Engineering, 2011 A numerical method (F.E.)was derived for incompressible viscoelastic materials, the aging and environmental phenomena especially the temperature effect was considered in this method.
Montadher A. Muhammed
doaj +1 more source
The Boundary Element Method Versus The Finite Element Method For Solving Two-Dimensional Continuum Problems [PDF]
Engineering and Technology Journal, 2007 Stress analysis problems in geomechanics are ideally suited to the method of boundaryelements, as this technique usually requires a very small number of nodes bycomparison to finite elements.
Omar al–Damluji, Mohammed Fattah
doaj +1 more source
, 2013 In this paper we present PDE and finite element analyses for a system of partial differential equations (PDEs) consisting of the Darcy equation and the Cahn-Hilliard equation, which arises as a diffuse interface model for the two phase Hele-Shaw flow. We
G., Steven Wise, Xiaobing Feng
core +1 more source