Boundary conditions

Dirichlet boundary condition

In the mathematical study of differential equations, the Dirichlet (or first-type) boundary condition is a type of boundary condition, named after Peter Gustav Lejeune Dirichlet (1805–1859). When imposed on an ordinary or a partial differential equation, it specifies the values that a solution needs to take along the boundary of the domain. In finite element method (FEM) analysis, essential or Dirichlet boundary condition is defined by weighted-integral form of a differential equation. The dependent unknown u in the same form as the weight function w appearing in the boundary expression is termed a primary variable, and its specification constitutes the essential or Dirichlet boundary condition. The question of finding solutions to such equations is known as the Dirichlet problem. In applied sciences, a Dirichlet boundary condition may also be referred to as a fixed boundary condition. (Wikipedia).

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(ML 7.7.A1) Dirichlet distribution

Definition of the Dirichlet distribution, what it looks like, intuition for what the parameters control, and some statistics: mean, mode, and variance.

From playlist Machine Learning

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Electromagnetic Boundary Conditions Explained

https://www.patreon.com/edmundsj If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible. In this video

From playlist Electromagnetics

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Electrical Engineering: Ch 18: Fourier Series (10 of 35) The Dirichlet Conditions

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are the four Dirichlet condition. Next video in this series can be seen at: https://youtu.be/SGfF8I8iQT4

From playlist ELECTRICAL ENGINEERING 17: THE FOURIER SERIES

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Dirichlet Eta Function - Integral Representation

Today, we use an integral to derive one of the integral representations for the Dirichlet eta function. This representation is very similar to the Riemann zeta function, which explains why their respective infinite series definition is quite similar (with the eta function being an alte rna

From playlist Integrals

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How to determine eigenvalues of a boundary value problem

How to determine the eigenvalues of a boundary value problem. A basic Sturm Liouville differential equation is discussed, subject to some boundary conditions. We determine necessary conditions for the problem to admit positive eigenvalues. We also show how to prove the problem has exact

From playlist Differential equations

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J.-M. Martell - A minicourse on Harmonic measure and Rectifiability (Part 3)

Solving the Dirichlet boundary value problem for an elliptic operator amounts to study the good properties of the associated elliptic measure. In the context of domains having an Ahlfors regular boundary and satisfying theso-called interior corkscrew and Harnack chain conditions (these ar

From playlist Rencontres du GDR AFHP 2019

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J.-M. Martell - A minicourse on Harmonic measure and Rectifiability (Part 1)

Solving the Dirichlet boundary value problem for an elliptic operator amounts to study the good properties of the associated elliptic measure. In the context of domains having an Ahlfors regular boundary and satisfying theso-called interior corkscrew and Harnack chain conditions (these ar

From playlist Rencontres du GDR AFHP 2019

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Normal Magnetic Field Boundary Conditions

https://www.patreon.com/edmundsj If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible. In this video

From playlist Electromagnetics

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The Heat Equation: Lecture 4 - Oxford Mathematics 1st Year Student Lecture

The heat equation, also known as the diffusion equation, is central to many areas in applied mathematics. In this series of four lectures - this is the fourth - forming part of the first year undergraduate mathematics course, 'Fourier Series and PDEs', the heat equation is derived and the

From playlist Oxford Mathematics 1st Year Student Lectures: The Heat Equation

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Geometric inverse problems (Lecture - 2) by Gunther Uhlmann

DISCUSSION MEETING WORKSHOP ON INVERSE PROBLEMS AND RELATED TOPICS (ONLINE) ORGANIZERS: Rakesh (University of Delaware, USA) and Venkateswaran P Krishnan (TIFR-CAM, India) DATE: 25 October 2021 to 29 October 2021 VENUE: Online This week-long program will consist of several lectures by

From playlist Workshop on Inverse Problems and Related Topics (Online)

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Symbolic Solving of PDEs

This talk by Unal Goktas presents an overview of solution methods for partial differential equations (PDEs) in the Wolfram Language. It covers not only the classical methods but also relatively modern approaches, as well as how to compute exact solutions for PDEs. The talk includes example

From playlist Wolfram Technology Conference 2020

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Jörg Schumacher: "Supergranule aggregation for constant heat flux-driven turbulent convection"

Transport and Mixing in Complex and Turbulent Flows 2021 "Supergranule aggregation for constant heat flux-driven turbulent convection" Jörg Schumacher - Technische Universität Ilmenau Abstract: Turbulent flows are highly chaotic and characterized by a cascade of irregular vortices, howev

From playlist Transport and Mixing in Complex and Turbulent Flows 2021

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Modeling of time evolution of temperature profile in a stochastic momentum by Aritra Kundu

Large deviation theory in statistical physics: Recent advances and future challenges DATE: 14 August 2017 to 13 October 2017 VENUE: Madhava Lecture Hall, ICTS, Bengaluru Large deviation theory made its way into statistical physics as a mathematical framework for studying equilibrium syst

From playlist Large deviation theory in statistical physics: Recent advances and future challenges

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Anton Thalmaier: The geometry of subelliptic diffusions

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Probability and Statistics

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David Krejčiřík: Spectrum of the Möbius strip: true, fake and not-so-fake

CIRM VIRTUAL EVENT Recorded during the meeting "Shape Optimization, Spectral Geometry and Calculus of Variations" the March 30, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worl

From playlist Virtual Conference

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J.-M. Martell - A minicourse on Harmonic measure and Rectifiability (Part 2)

Solving the Dirichlet boundary value problem for an elliptic operator amounts to study the good properties of the associated elliptic measure. In the context of domains having an Ahlfors regular boundary and satisfying theso-called interior corkscrew and Harnack chain conditions (these ar

From playlist Rencontres du GDR AFHP 2019

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Konrad Polthier (7/27/22): Boundary-sensitive Hodge decompositions

Abstract: We provide a theoretical framework for discrete Hodge-type decomposition theorems of piecewise constant vector fields on simplicial surfaces with boundary that is structurally consistent with decomposition results for differential forms on smooth manifolds with boundary. In parti

From playlist Applied Geometry for Data Sciences 2022

Related pages

Differential equation | Euler–Bernoulli beam theory | Laplace operator | Finite element method | Function (mathematics) | Ordinary differential equation | Partial differential equation | Peter Gustav Lejeune Dirichlet | Robin boundary condition | Mixed boundary condition | Neumann boundary condition | Boundary conditions in fluid dynamics | Boundary (topology) | Dirichlet problem | Cauchy boundary condition | No-slip condition