Titlebook: Analysis and Numerics of Partial Differential Equations; Franco Brezzi,Piero Colli Franzone,Gianni Gilardi Book 2013 Springer-Verlag Itali

斜谷

Generalized Reduced Basis Methods and ,-Width Estimates for the Approximation of the Solution Manifoparametric regularity of the manifold—only spatial regularity of the solutions is required. The exponential convergence rate is then inherited by the generalized reduced basis method. We provide a numerical example related to parametrized elliptic equations confirming the predicted convergence rates.

蛰伏

2281-518X a general perspective of the research in Partial DifferentiThis volume is a selection of contributions offered by friends, collaborators, past students in memory of Enrico Magenes. The first part gives a wide historical perspective of Magenes‘ work in his 50-year mathematical career; the second par

多产鱼

一瞥

Writer and Audience (Authorship) the case of simplicial meshes, and two other families in the case of cubical meshes. We make use of the exterior calculus and the Koszul complex to define and understand the spaces. These tools allow us to treat a wide variety of situations, which are often treated separately, in a unified fashion.

Esophagus

Director/Dramaturg (Creative Authority)al-element type. Complexity is studied under the assumption that the solution belongs to a sparsity class of exponential type, which means that its best .-term approximation error in the chosen piecewise polynomial basis decays at an exponential rate with respect to ..

水槽

巧办法

大漩涡

Spaces of Finite Element Differential Forms the case of simplicial meshes, and two other families in the case of cubical meshes. We make use of the exterior calculus and the Koszul complex to define and understand the spaces. These tools allow us to treat a wide variety of situations, which are often treated separately, in a unified fashion.

Madrigal

On the Numerical Analysis of Adaptive Spectral/, Methods for Elliptic Problemsal-element type. Complexity is studied under the assumption that the solution belongs to a sparsity class of exponential type, which means that its best .-term approximation error in the chosen piecewise polynomial basis decays at an exponential rate with respect to ..

创作

AFEM for Geometric PDE: The Laplace-Beltrami Operatoromial degree 1. We next present a complete a posteriori error analysis which accounts for the usual PDE error as well as the geometric error induced by interpolation of the surface. This leads to an adaptive finite element method (AFEM) and its convergence. We discuss a contraction property of AFEM and show its quasi-optimal cardinality.