VOK
发表于 2025-3-28 15:30:05
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STAT
发表于 2025-3-28 18:58:28
Function Approximation by Global Functions,Many successful numerical solution methods for differential equations, including the finite element method, aim at approximating the unknown function by a sum.
原始
发表于 2025-3-28 23:41:08
Function Approximation by Finite Elements,The purpose of this chapter is to use the ideas from the previous chapter on how to approximate functions, but the basis functions are now of finite element type.
许可
发表于 2025-3-29 05:37:15
Variational Formulations with Finite Elements,We shall now take the ideas from previous chapters and put together such that we can solve PDEs using the flexible finite element basis functions. This is quite a machinery with many details, but the chapter is mostly an assembly of concepts and details we have already met.
Vo2-Max
发表于 2025-3-29 10:48:23
Time-Dependent Variational Forms,There are at least three different strategies for performing a discretization in time.
MINT
发表于 2025-3-29 14:52:45
Variational Forms for Systems of PDEs,Many mathematical models involve . + 1 unknown functions governed by a system of . + 1 differential equations.