Tag: Poisson equation
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NGSolve Tutorials (1) First NG Solve Example Part A
It is a example and explanation of which is described in docu.ngsolve.org Let us solve the Poisson problem of inding u satisfying in the unit square on the bottom and right parts of the boundary on the remaining boundary parts. The ngsolve module is a finite element library for solving partial differential equations (PDEs) in…
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Partial Differential Equation (1) Laplace and Poisson Equation
From now, let’s talk about various partial differential equations. At first, I will talk about Laplace equation and Poisson equation. The Laplace equation is a second-order partial differential equation that arises in many physical systems, such as heat conduction, electrostatics, and fluid dynamics. It can be written in the following general form: where $u$ is…