Search for tag: "elliptic"
Elliptic PDE Analytical methods ConcepTest solutionsVideo with the solutions to the ConcepTests for the Analytical methods for Elliptic PDE part
From Daniel Friedrich
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Elliptic PDE Analytical methods Example 5: Cylindrical coordinatesStep 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.
From Daniel Friedrich
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Elliptic PDE Analytical methods Part 7: Cylindrical coordinatesLecture video discussing the translation of the Laplace equation from Cartesian to cylindrical coordinates
From Daniel Friedrich
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Elliptic PDE Analytical methods Part 6: Poissons equationThis video introduces Poisson's equation which is the Laplace equation with a non-zero right hand side.
From Daniel Friedrich
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Elliptic PDE Analytical methods Part 5: Complex variable solutionVideo discussing the complex variable solution of the Laplace equation and the Joukowski transform which was used to design airfoils
From Daniel Friedrich
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Elliptic PDE Analytical methods Part 4: NondimensionalisationThis video introduces the concept of nondimensionalisation and applies it to the Laplace equation.
From Daniel Friedrich
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Elliptic PDE Analytical methods Part 3: Boundary conditionsVideo introducing different boundary conditions as well as the concept of well-posed problems.
From Daniel Friedrich
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Elliptic PDE Analytical methods Example 3: Separated solution with Fourier seriesThis 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
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Elliptic PDE Analytical methods Example 2: Separation of variablesExample video showing how to use the method of separation of variables to calculate the solution to the Laplace equation.
From Daniel Friedrich
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Elliptic PDE Analytical methods Part 2: Separated solutionVideo introducing the idea and method of separated solution which is also called the method of separation of variables.
From Daniel Friedrich
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Elliptic PDE Analytical methods Example 1: Laplace equation solutionsThe 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
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Elliptic PDE Analytical methods Part 1: IntroductionIntroduction of elliptic PDEs and derivation of the Laplace equation
From Daniel Friedrich
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