Numerical Analysis
单调有限元方法
Monotone Finite Element MethodA 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
Sub-knowledge points
Monotonicity preservationStability analysis for convection-dominated problemsOptimal control discretization
Higher-order knowledge points
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 starsA monotone finite element method for an elliptic distributed optimal control problem with a convection-dominated state equationOpen source
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1 recordsRecord title: Monotone Finite Element Method.
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