Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Marini, L. D."'
We present a new method to construct Virtual Element spaces on polygons with curved edges.
Externí odkaz:
http://arxiv.org/abs/1910.10184
We consider, as a simple model problem, the application of Virtual Element Methods (VEM) to the linear Magnetostatic three-dimensional problem in the formulation of F. Kikuchi. In doing so, we also introduce new serendipity VEM spaces, where the sere
Externí odkaz:
http://arxiv.org/abs/1804.10497
We give here a simplified presentation of the lowest order Serendipity Virtual Element method, and show its use for the numerical solution of linear magneto-static problems in three dimensions. The method can be applied to very general decompositions
Externí odkaz:
http://arxiv.org/abs/1710.01888
We extend the basic idea of Serendipity Virtual Elements from the previous case (by the same authors) of nodal ($H^1$-conforming) elements, to a more general framework. Then we apply the general strategy to the case of $H(div)$ and $H(curl)$ conformi
Externí odkaz:
http://arxiv.org/abs/1606.01048
We introduce a new variant of Nodal Virtual Element spaces that mimics the "Serendipity Finite Element Methods" (whose most popular example is the 8-node quadrilateral) and allows to reduce (often in a significant way) the number of internal degrees
Externí odkaz:
http://arxiv.org/abs/1510.08477
In the present paper we introduce a Virtual Element Method (VEM) for the approximate solution of general linear second order elliptic problems in mixed form, allowing for variable coefficients. We derive a theoretical convergence analysis of the meth
Externí odkaz:
http://arxiv.org/abs/1506.07328
We consider the discretization of a boundary value problem for a general linear second-order elliptic operator with smooth coefficients using the Virtual Element approach. As in [59] the problem is supposed to have a unique solution, but the associat
Externí odkaz:
http://arxiv.org/abs/1412.2646
In the present paper we construct Virtual Element Spaces that are $H({\rm div})$-conforming and $H({\rm \bf curl})$-conforming on general polygonal and polyhedral elements; these spaces can be interpreted as a generalization of well known Finite Elem
Externí odkaz:
http://arxiv.org/abs/1407.6822
Publikováno v:
SIAM Journal on Numerical Analysis, 2018 Jan 01. 56(5), 2940-2962.
Externí odkaz:
https://www.jstor.org/stable/45048383
Publikováno v:
SIAM Journal on Numerical Analysis, 1999 Jan 01. 36(6), 1933-1948.
Externí odkaz:
https://www.jstor.org/stable/2587228