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Maximal Subellipticity - Brian Street

Fourier Analysis @ 200 Maximal Subellipticity Brian Street, University of Wisconsin–Madison 01 July 2022

From  Iain Cms 0 likes 33 plays 0  

Elliptic PDE Analytical methods ConcepTest solutions

Video with the solutions to the ConcepTests for the Analytical methods for Elliptic PDE part

From  Daniel Friedrich 0 likes 115 plays 0  

Elliptic PDE Analytical methods Example 5: Cylindrical coordinates

Step by step example solving the Laplace equation on a circle where the upper half of the circle is held at a high temperature while the lower half is held at a low temperature.

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Elliptic PDE Analytical methods Part 7: Cylindrical coordinates

Lecture video discussing the translation of the Laplace equation from Cartesian to cylindrical coordinates

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Elliptic PDE Analytical methods Example 4: Poisson's equation

Example video for Poisson's equation

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Elliptic PDE Analytical methods Part 6: Poissons equation

This video introduces Poisson's equation which is the Laplace equation with a non-zero right hand side.

From  Daniel Friedrich 0 likes 356 plays 0  

Elliptic PDE Analytical methods Part 5: Complex variable solution

Video discussing the complex variable solution of the Laplace equation and the Joukowski transform which was used to design airfoils

From  Daniel Friedrich 0 likes 354 plays 0  

Elliptic PDE Analytical methods Part 4: Nondimensionalisation

This video introduces the concept of nondimensionalisation and applies it to the Laplace equation.

From  Daniel Friedrich 0 likes 390 plays 0  

Elliptic PDE Analytical methods Part 3: Boundary conditions

Video introducing different boundary conditions as well as the concept of well-posed problems.

From  Daniel Friedrich 0 likes 493 plays 0  

Elliptic PDE Analytical methods Example 3: Separated solution with Fourier series

This video show how we can use the method of separation of variables together with the Fourier series to find the solution of the Laplace equation. A brief recap of the Fourier series is given at the…

From  Daniel Friedrich 0 likes 622 plays 0  

Elliptic PDE Analytical methods Example 2: Separation of variables

Example video showing how to use the method of separation of variables to calculate the solution to the Laplace equation.

From  Daniel Friedrich 0 likes 609 plays 0  

Elliptic PDE Analytical methods Part 2: Separated solution

Video introducing the idea and method of separated solution which is also called the method of separation of variables.

From  Daniel Friedrich 0 likes 572 plays 0  

Elliptic PDE Analytical methods Example 1: Laplace equation solutions

The video gives three solutions to the Laplace equation and demonstrates how we can show that these equations are solutions to the Laplace equation.

From  Daniel Friedrich 0 likes 566 plays 0  

Elliptic PDE Analytical methods Part 1: Introduction

Introduction of elliptic PDEs and derivation of the Laplace equation

From  Daniel Friedrich 0 likes 617 plays 0  

Example 9.31 - Laplace equation

Handwritten solution of the Laplace equation

From  Daniel Friedrich 0 likes 924 plays 0