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Showing papers in "Computer Methods in Applied Mechanics and Engineering in 2000"


Journal ArticleDOI
TL;DR: GA's population-based approach and ability to make pair-wise comparison in tournament selection operator are exploited to devise a penalty function approach that does not require any penalty parameter to guide the search towards the constrained optimum.

3,495 citations


Journal ArticleDOI
TL;DR: In this paper, a multiscale behaviour model based on a multilevel finite element (FE2) approach is used to take into account heterogeneities in the behaviour between the fibre and matrix.

1,056 citations


Journal ArticleDOI
TL;DR: In this paper, a new parallel distributed memory multifrontal approach is described to handle numerical pivoting efficiently, a parallel asynchronous algorithm with dynamic scheduling of the computing tasks has been developed.

940 citations


Journal ArticleDOI
TL;DR: The GFEM is introduced as a combination of the classical Finite Element Method (FEM) and the Partition of Unity Method (PUM) to solve problems in domains with complex geometry with less error and less computer resources.

898 citations


Journal ArticleDOI
TL;DR: In this article, a generalized-α method was developed and analyzed for linear, first-order systems and extended to the filtered Navier-Stokes equations within the context of a stabilized finite element method.

735 citations


Journal ArticleDOI
TL;DR: This paper proposes two alternative serial and parallel staggered algorithms for the solution of coupled transient aeroelastic problems, and demonstrates their superior accuracy and computational efficiency with the flutter analysis of the AGARD Wing 445.6.

465 citations


Journal ArticleDOI
TL;DR: New ways of computing the stabilization parameters used in the stabilized finite element methods such as the streamline-upwind/Petrov–Galerkin (SUPG) and pressure-stabilizing/Petrovskiy Galerkins (PSPG) formulations are proposed.

441 citations


Journal ArticleDOI
TL;DR: A possible approach to their classification is suggested, with special attention to the type of kinematic enhancement and of internal equilibrium condition, by analyzing the behavior of the simplest finite element – the constant-strain triangle.

438 citations


Journal ArticleDOI
TL;DR: Two apparently different forms of dealing with the numerical instability due to the incompressibility constraint of the Stokes problem are analyzed and it is shown here that the first method can also be recast in the framework of sub-grid scale methods with a particular choice for the space ofSub-scales.

383 citations


Journal ArticleDOI
TL;DR: A finite element based discretization method in which the standard polynomial field is enriched within each element by a nonconforming field that is added to it is proposed, expected to attain high coarse-mesh accuracy without significant degradation of conditioning.

376 citations


Journal ArticleDOI
TL;DR: In this article, a model for granular materials is presented that describes both the internal deformation of each granule and the interactions between grains, which is based on the FLIP-material point, particle-in-cell method, solving continuum constutitive models for each grain.

Journal ArticleDOI
TL;DR: The underlying ideas of the ALE method are explained and a possible way to control the distortion of the mesh is given and results of an academic as well as an industrial problem are presented.

Journal ArticleDOI
TL;DR: In this paper, a topological shape optimization algorithm based on a fixed point method was proposed, and some optimality conditions were derived when classical shape gradient and topological gradient are used simultaneously, and numerical results were shown both in Mechanics and Electromagnetics.

Journal ArticleDOI
TL;DR: Three numerical examples for Ogden-type material models are given to illustrate the performance of the proposed conserving schemes, showing that, relative to the standard implicit mid-point rule, the conserve schemes exhibit superior numerical stability properties without a compromise in accuracy.

Journal ArticleDOI
TL;DR: The method of rescaled mutations is analyzed in depth for the (1,�)-ES on the sphere model and it is shown that this method needs advanced self-adaptation techniques in order to take advantage of the theoretically predicted performance gain.

Journal ArticleDOI
TL;DR: In this paper, a fully automatic remesher is proposed to deal with multiple boundaries and multiple materials, and the propagation of the crack is achieved with both remeshing and nodal relaxation, and a maximal normal stress criterion is used to compute the crack direction.

Journal ArticleDOI
TL;DR: In this paper, two boundary condition treatments are proposed to enhance the computational efficiency of mesh-free methods for contact problems by introducing singularities to the kernel functions of the essential and contact boundary nodes so that the corresponding coefficients of the singular kernel shape functions recover nodal values and consequently kinematic constraints can be imposed directly.

Journal ArticleDOI
TL;DR: The combination of several optimization technologies that can be used to tackle challenging design problems is described, that uses a multi-objective genetic algorithm, a neural network, and a gradient-based optimizer to design a sailing yacht fin keel.

Journal ArticleDOI
TL;DR: In this paper, a binary material/void design representation that is encoded in GA chromosome data structures is presented, which is intended to approximate a material continuum as opposed to discrete truss structures.

Journal ArticleDOI
TL;DR: In this article, a parallel computational strategy for carrying out 3D simulations of parachute fluid-structure interaction is presented, and the simulation is applied to a round parachute, using a stabilized space-time finite element formulation for the fluid dynamics (FD), and derived from the principle of virtual work for structural dynamics (SD).

Journal ArticleDOI
TL;DR: In this paper, a parallel finite element computational method for 3D simulation of fluid-structure interactions (FSI) in parachute systems is presented, which is applied to computation of the equilibrium configuration of an anchored ram-air parachute placed in an air stream.

Journal ArticleDOI
TL;DR: A generalized smoothed particle hydrodynamics (SPH) method was developed for numerical simulation of nonlinear dynamic problems as mentioned in this paper, which is quite straightforward and simple and can be coded easily.

Journal ArticleDOI
TL;DR: It is proved that satisfying an appropriate D-GCL is a sufficient condition for a numerical scheme to be at least first-order time-accurate on moving meshes.

Journal ArticleDOI
TL;DR: In this article, a finite element model for strain localization analysis of elastoplastic solids subjected to discontinuous displacement fields based on standard Galerkin approximation is presented, which does not require static condensation to be performed on the element level.

Journal ArticleDOI
TL;DR: In this article, a stabilized finite element method for solving convection-diffusion-reaction equations is studied, which is based on the subgrid scale approach and an algebraic approximation to the subscales.

Journal ArticleDOI
TL;DR: In this paper, the additive evolutionary structural optimisation (AESO) algorithm is combined with the AESO to produce bi-directional AESO (BESO), whereby material can be added and removed.

Journal ArticleDOI
TL;DR: In this article, a new permutation GA named gene-rank GA was developed and compared with an existing Partially Mapped Permutation GA, originally developed for solving the traveling salesman problem.

Journal ArticleDOI
TL;DR: The major classes of algorithms are reviewed and their relative merits on problems from computational mechanics are discussed and suggestions are made for future research directions.

Journal ArticleDOI
TL;DR: In this article, the authors used 3D discrete element method (DEM) to simulate dry granular flows of non-spherical particles, which are represented by clusters of spheres for contact detection and for contact-force calculation.

Journal ArticleDOI
TL;DR: In this article, a mixed-mode dynamic crack propagation in concrete is studied using the element-free Galerkin (EFG) method, which allows for arbitrary crack growth in terms of direction and speed.