Introduction to CFD on the Basis of FEM
2 控制方程 2.1 流体与固体 日常生活中我们会遇到四种物质状态——固体、液体、气体与等离子体——它们乍看之下由对约束的响应来区分：固体既保持形状又保持体积，液体保持体积但会顺应容器的形状，气体则会膨胀充满一切可用的空间。然而对于连续介质力学而言，真正具有决定性意义的区别并非几何的，而是动力学的，它关乎物质对剪切应力的响应。 流体是一种在静止时无法承受剪切应力的物质：只要施加一个剪切力，无...
Rev Eng
But not reversed engineering
Lie Algebra
In this article, I will introduce Lie algebra, which essentially is related to the Poisson brackets we studied before. Definition Lie AlgebraFor a vector space #mjx-37e73578{ ...
From the θ-Scheme to the Stokes Saddle-Point System
Why a matrix formulation in the first place We want to solve the instationary Stokes equations, but a PDE that carries a time derivative cannot be handed to a stationary linear solver directly. The...
Poisson Brackets
The whole of mechanics can be summarized in a single bracket. — paraphrasing the spirit of Hamilton and Jacobi. In classical mechanics every observable lives on the phase space, the space of state...
Intuitions and Speculations on Variational Formulation
Solving a Linear System We begin with a deceptively simple question that every undergraduate student encounters in their first linear algebra course: solving the linear system #m...
Tao's Real Analysis - Peano Axiom
Kindergarten-level Maths.
Quantum Dissipative System
About the Modelling of Open Systems
Properties of Arnoldi process for skew symmetric matrices
Lagerhaus
NODE Übungsmenü
Lagerhaus