L
Luisa Donatella Marini
Researcher at University of Pavia
Publications - 52
Citations - 5196
Luisa Donatella Marini is an academic researcher from University of Pavia. The author has contributed to research in topics: Finite element method & Discontinuous Galerkin method. The author has an hindex of 26, co-authored 49 publications receiving 4281 citations.
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Two families of mixed finite elements for second order elliptic problems
TL;DR: In this article, two families of mixed finite elements, one based on triangles and the other on rectangles, are introduced as alternatives to the usual Raviart-Thomas-Nedelec spaces.
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The Hitchhiker's Guide to the Virtual Element Method
TL;DR: The essential ingredients in the Virtual Element Method for a simple linear elliptic second-order problem are presented and its computer implementation is emphasized to enable interested readers to readily implement the method.
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Equivalent projectors for virtual element methods
TL;DR: A variant of the virtual element method that allows the exact computations of the L^2 projections on all polynomials of degree @?k to be presented.
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Virtual Elements for Linear Elasticity Problems
TL;DR: The application of virtual elements to linear elasticity problems, for both the compressible and the nearly incompressible case, is discussed.
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Mixed virtual element methods for general second order elliptic problems on polygonal meshes
TL;DR: In this article, the Virtual Element Method (VEM) was introduced for the approximate solution of general linear second order elliptic problems in mixed form, allowing for variable coefficients, and a theoretical convergence analysis of the method was derived.