The Discontinuity-Enriched Finite Element Method
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DOI: 10.1002/nme.5570
Abstract: We introduce a new methodology for modeling problems with both weak and strong discontinuities independently of the finite element discretization. At variance with the eXtended/Generalized Finite Element Method (X/GFEM), the new method, named the Discontinuity-Enriched… read more here.
Keywords: element method; finite element; discontinuity enriched; method ... See more keywords
Linear smoothed extended finite element method
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DOI: 10.1002/nme.5579
Abstract: The extended finite element method was introduced in 1999 to treat problems involving discontinuities with no or minimal remeshing through appropriate enrichment functions. This enables elements to be split by a discontinuity, strong or weak,… read more here.
Keywords: element method; finite element; smoothed extended; extended finite ... See more keywords
The solution of elastostatic and dynamic problems using the boundary element method based on spherical Hankel element framework
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DOI: 10.1002/nme.5595
Abstract: Summary In this paper, new spherical Hankel shape functions are utilized to reformulate boundary element method for two-dimensional (2D) elastostatic and elastodynamic problems. To this end, the dual reciprocity (DR) boundary element method (BEM) is… read more here.
Keywords: element method; boundary element; hankel; spherical hankel ... See more keywords
The discrete element method with deformable particles
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DOI: 10.1002/nme.5767
Abstract: An original concept of the discrete element method accounting for deformability of cylindrical or spherical particles proposed in [1] will be presented. The deformability of the particles in the new method, called the deformable discrete… read more here.
Keywords: element method; method; deformation; particle ... See more keywords
A novel discrete element method based on the distance potential for arbitrary 2D convex elements
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DOI: 10.1002/nme.5803
Abstract: A new 2‐dimensional discrete element method, which is able to simulate a system involving a large number of arbitrary convex elements, is proposed. In this approach, a novel distance potential function is defined using a… read more here.
Keywords: element method; distance; method; arbitrary convex ... See more keywords
3D formulation of the deformable discrete element method
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DOI: 10.1002/nme.6666
Abstract: This work presents a 3D extension of the deformable discrete element method (DDEM) developed previously for 2D problems. The 3D formulation employs spherical particles. The particle deformation is made up of a global and local… read more here.
Keywords: deformable discrete; formulation deformable; discrete element; element method ... See more keywords
Immersed‐interface finite element method based on a nonconformal Petrov–Galerkin formulation
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DOI: 10.1002/nme.6683
Abstract: Immersed interface methods are becoming increasingly necessary to solve problems of practical importance. To be considered as replacement for conventional, interface‐fitted, finite element method (FEM), an immersed‐interface finite element method (IIFEM) has to exhibit equivalent… read more here.
Keywords: interface; finite element; formulation; element method ... See more keywords
The boundary element method of peridynamics
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DOI: 10.1002/nme.6764
Abstract: The peridynamic theory brings advantages in dealing with discontinuities, dynamic loading, and nonlocality. The integro‐differential formulation of peridynamics poses challenges to numerical solutions of complicated and practical problems. Some important issues attract much attention, such… read more here.
Keywords: time; boundary element; method; element method ... See more keywords
The iterative multiscale finite element method for sandwich beams and plates
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DOI: 10.1002/nme.6808
Abstract: We present an adaptation of the multiscale finite element method to the analysis of sandwich beams and plates with complex lattice layers. The proposed modification significantly reduces the number of degrees of freedom (even by… read more here.
Keywords: multiscale finite; finite element; beams plates; element method ... See more keywords
Virtual element method (VEM)-based topology optimization: an integrated framework
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DOI: 10.1007/s00158-019-02268-w
Abstract: We present a virtual element method (VEM)-based topology optimization framework using polyhedral elements, which allows for easy handling of non-Cartesian design domains in three dimensions. We take full advantage of the VEM properties by creating… read more here.
Keywords: optimization; topology; vem; element method ... See more keywords
Adaptive finite element method for elliptic optimal control problems: convergence and optimality
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DOI: 10.1007/s00211-016-0827-9
Abstract: In this paper we consider the convergence analysis of adaptive finite element method for elliptic optimal control problems with pointwise control constraints. We use variational discretization concept to discretize the control variable and piecewise linear… read more here.
Keywords: finite element; adaptive finite; element method; control ... See more keywords