斜谷
发表于 2025-3-23 13:01:53
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
发表于 2025-3-23 14:55:27
2281-518Xa 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
发表于 2025-3-23 19:27:55
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一瞥
发表于 2025-3-23 23:34:56
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
发表于 2025-3-24 06:00:06
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
发表于 2025-3-24 07:34:43
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巧办法
发表于 2025-3-24 14:25:37
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大漩涡
发表于 2025-3-24 18:55:57
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
发表于 2025-3-24 19:53:09
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
发表于 2025-3-25 00:56:11
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.