L
L. Donatella Marini
Researcher at University of Pavia
Publications - 11
Citations - 4002
L. Donatella Marini is an academic researcher from University of Pavia. The author has contributed to research in topics: Discontinuous Galerkin method & Finite element method. The author has an hindex of 8, co-authored 11 publications receiving 3696 citations. Previous affiliations of L. Donatella Marini include University of Minnesota.
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Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
TL;DR: In this paper, a framework for the analysis of a large class of discontinuous Galerkin methods for second-order elliptic problems is provided, which allows for the understanding and comparison of most of the discontinuous methods that have been proposed over the past three decades.
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Efficient rectangular mixed finite elements in two and three space variables.
TL;DR: In this paper, deux families d'elements finis mixtes for des problemes aux limites elliptiques d'ordre 2 en dimension 2 and 3 were introduced.
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Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems
Blanca Ayuso,L. Donatella Marini +1 more
TL;DR: The weighted-residual approach recently introduced in Brezzi et al. is applied to derive discontinuous Galerkin formulations for advection-diffusion-reaction problems, and two new methods are proposed.
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Residual-free bubbles for advection-diffusion problems: the general error analysis
TL;DR: The general a priori error analysis of residual-free bubble finite element approximations to non-self-adjoint elliptic problems of the form $(\varepsilon A + C)u = f subject to homogeneous Dirichlet boundary condition is developed.
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Virtual Element Method for fourth order problems: $L^2-$estimates
C. Chinosi,L. Donatella Marini +1 more
TL;DR: In this paper, the authors analyse the family of C 1 -Virtual Elements introduced in Brezzi and Marini (2013) for fourth-order problems and prove optimal estimates in L 2 and in H 1 via classical duality arguments.