Our website is made possible by displaying online advertisements to our visitors.
Please consider supporting us by disabling your ad blocker.
Dirichlet boundary condition
| Differential equations |
|---|
| Scope |
| Classification |
| Solution |
| People |
In mathematics, the Dirichlet boundary condition is imposed on an ordinary or partial differential equation, such that the values that the solution takes along the boundary of the domain are fixed. The question of finding solutions to such equations is known as the Dirichlet problem. In the sciences and engineering, a Dirichlet boundary condition may also be referred to as a fixed boundary condition or boundary condition of the first type. It is named after Peter Gustav Lejeune Dirichlet (1805–1859).[1]
In finite-element analysis, the essential or Dirichlet boundary condition is defined by weighted-integral form of a differential equation.[2] 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.
- ^ Cheng, A.; Cheng, D. T. (2005). "Heritage and early history of the boundary element method". Engineering Analysis with Boundary Elements. 29 (3): 268–302. doi:10.1016/j.enganabound.2004.12.001.
- ^ Reddy, J. N. (2009). "Second order differential equations in one dimension: Finite element models". An Introduction to the Finite Element Method (3rd ed.). Boston: McGraw-Hill. p. 110. ISBN 978-0-07-126761-8.
Previous Page Next Page
Dirichletov granični uvjet BS Condició de frontera de Dirichlet Catalan Dirichlet-Randbedingung German Condición de frontera de Dirichlet Spanish Condition aux limites de Dirichlet French Condizioni al contorno di Dirichlet Italian ディリクレ境界条件 Japanese 디리클레 경계 조건 Korean Warunek brzegowy Dirichleta Polish Condição de contorno de Dirichlet Portuguese
