无意
发表于 2025-3-23 10:47:41
Spaces of Functions Associated with an open set in RLet Ω be an open set of R. with boundary Γ; we will associate with this open set several spaces of functions for later use.
使人入神
发表于 2025-3-23 15:23:25
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Truculent
发表于 2025-3-23 20:48:04
Approximation of Some Function Spaces by Finite Differences (II)In this chapter we construct an internal approximation of .(Ω), an external approximation of .(Ω) and a generalized external approximation of .(Ω), using finite differences. We keep the notations introduced in Section 8.1, and the open set Ω is assumed to be bounded.
Sciatica
发表于 2025-3-23 23:35:53
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滑稽
发表于 2025-3-24 04:02:57
Example II: The Neumann ProblemWe are in the situation discussed in Section 1.2; Ω is a bounded open set in R. with boundary Г, we put .(Ω) and .(Ω) and these spaces are provided with their usual Hubert structure (cf. Chapter 7):
BRAVE
发表于 2025-3-24 07:49:47
The Exact ProblemWe will describe here the nonlinear elliptic problem that we want to study, and we prove existence and uniqueness of the solutions of this problem. Existence is shown by the Galerkin method, which at the same time gives first method for approximate solution of the equation.
无所不知
发表于 2025-3-24 14:29:18
Approximate ProblemsWe study the approximate solution of problem (13.1) by a finite difference method.
elastic
发表于 2025-3-24 18:20:18
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杀子女者
发表于 2025-3-24 20:41:42
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迁移
发表于 2025-3-25 02:40:49
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