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Numerical Analysis

单调有限元方法

Monotone Finite Element Method

A numerical technique used for solving distributed optimal control problems, specifically those involving convection-dominated state equations, by ensuring the discrete solution preserves the monotonicity properties of the continuous problem. / 一种用于求解分布最优控制问题的数值技术,特别是涉及对流占优状态方程的问题,通过确保离散解保持连续问题的单调性性质。

Knowledge type
工艺技术
First proposed or discovered
Proposer
Turkey Farm member
Creator
农场主
Last updated
2026-11-08 17:06:38
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Sub-knowledge points

Monotonicity preservationStability analysis for convection-dominated problemsOptimal control discretization

Higher-order knowledge points

Finite Element Analysis / 数学理论Optimal Control TheoryNumerical Methods for PDEs

Main parameters and performance indicators

convection-dominated state equation: Governs the state variable dynamics where convective transport is much stronger than diffusive transportelliptic distributed optimal control problem: An optimization problem where the state equation is elliptic and the control is distributed over the domain

Open problems

No unresolved problem recorded yet

Related literature

ranked by community stars
A monotone finite element method for an elliptic distributed optimal control problem with a convection-dominated state equationOpen source

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Creation and modification trail

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automated knowledge publish农场主2026-11-08 17:06:38

Record title: Monotone Finite Element Method.