1,721,028 research outputs found
An inexpensive method for the evaluation of the solution of the lowest order Raviart-Thomas mixed method
No full textVirtual Element Methods for plate bending problems
No full textWe discuss the application of Virtual Elements to linear plate bending problems, in the Kirchhoff-Love formulation. As we shall see, in the Virtual Element environment the treatment of the C^1-continuity condition is much easier than for traditional Finite Elements. The main difference consists in the fact that traditional Finite Elements, for every element E and for every given set of degrees of freedom, require the use of a space of polynomials (or piecewise polynomials for composite elements) for which the given set of degrees of freedom is unisolvent. For Virtual Elements instead we only need unisolvence for a space of smooth functions that contains a subset made of polynomials (whose degree determines the accuracy). As we shall see the non-polynomial part of our local spaces does not need to be known in detail, and therefore the construction of the local stiffness matrix is simple, and can be done for much more general geometries
The three-field formulation for elasticity problems
No full textThe three-field decomposition method is particularly suited for decompositions with nonmatching grids. It corresponds to introduce an additional grid (usually uniform, or “easy”) at the interface. The unknown is then represented independently in each subdomain and on the interface. The matching between its value in each subdomain and on the interface is provided by suitable Lagrange multipliers. Here we discuss the main features of the method for a linear
three-dimensional elasticity problem, in the simplest case of two subdomains. An easy numerical test to check whether the inf-sup conditions (necessary for the stability) are satisfied is also presented
New mixed finite-element schemes for current continuity equations
No full textTwo new mixed finite element schemes for discretizing current continuity equations are presented. Together with the good features of the already-known mixed scheme (current preservation and good approximation of sharp shapes), they provide M-matrices, even when a zero order term is present in the equations
Accurate computation of electric field in reverse-biased semiconductor devices - a mixed finite element approach
No full textA nonconforming element for the Reissner-Mindlin plate
No full textWe develop a locking free nonconforming element for the Reissner-Mindlin plate using Discontinuous Galerkin techniques, and prove optimal error estimates
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