Special Issue “Mesh-Free and Finite Element-Based Methods for Structural Mechanics Applications”
نویسندگان
چکیده
منابع مشابه
Discrete Mechanics Based on Finite Element Methods
Discrete Mechanics based on finite element methods is presented in this paper. We also explore the relationship between this discrete mechanics and Veselov discrete mechanics. High order discretizations are constructed in terms of high order interpolations.
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This paper deals with the finite element solution of the convection diffusion equation in one and two dimensions. Two main techniques are adopted and compared. The first one includes Petrov-Galerkin based on Lagrangian tensor product elements in conjunction with streamlined upwinding. The second approach represents Bubnov/Petrov-Galerkin schemes based on a new group of exponential elements. It ...
متن کاملMoving Mesh Finite Element Methods Based on Harmonic Maps
This paper is devoted to the applications of a class of moving mesh nite element methods based on harmonic maps. We review some recent work of the authors on solving PDES, variational inequalities and optimal control problems by use of the moving mesh techniques.
متن کاملTime Finite Element Methods for Structural Dynamics
Time finite element methods are developed for the equations of structural dynamics. The approach employs the time-discontinuous Galerkin method and incorporates stabilizing terms having least-squares form. These enable a general convergence theorem to be proved in a norm stronger than the energy norm. Results are presented from finite difference analyses of the time-discontinuous Galerkin and l...
متن کاملAdaptive finite element methods in computational mechanics
In this paper, we review the general approach to adaptivity for finite element methods presented in [l-16]. We also present new theoretical and computational results for linear elasticity, non-linear elasto-plasticity and non-linear conservation laws illustrating the general theory. The basic problem in adaptivity for finite element methods may be formulated as follows. Suppose 9 is a given (in...
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ژورنال
عنوان ژورنال: Mathematical and Computational Applications
سال: 2020
ISSN: 2297-8747
DOI: 10.3390/mca25040075