Faster access than browser!
20 relations: Boundary (topology), Boundary value problem, Cauchy boundary condition, Civil engineering, Different types of boundary conditions in fluid dynamics, Dirichlet problem, Electrostatics, Fluid dynamics, Function (mathematics), Laplace operator, Mathematics, Mechanical engineering, Mixed boundary condition, Neumann boundary condition, No-slip condition, Ordinary differential equation, Partial differential equation, Peter Gustav Lejeune Dirichlet, Robin boundary condition, Thermodynamics.
Boundary (topology)
In topology and mathematics in general, the boundary of a subset S of a topological space X is the set of points which can be approached both from S and from the outside of S. More precisely, it is the set of points in the closure of S not belonging to the interior of S. An element of the boundary of S is called a boundary point of S. The term boundary operation refers to finding or taking the boundary of a set.
New!!: Dirichlet boundary condition and Boundary (topology) · See more »
Boundary value problem
In mathematics, in the field of differential equations, a boundary value problem is a differential equation together with a set of additional constraints, called the boundary conditions.
New!!: Dirichlet boundary condition and Boundary value problem · See more »
Cauchy boundary condition
In mathematics, a Cauchy boundary conditions augments an ordinary differential equation or a partial differential equation with conditions that the solution must satisfy on the boundary; ideally so to ensure that a unique solution exists.
New!!: Dirichlet boundary condition and Cauchy boundary condition · See more »
Civil engineering
Civil engineering is a professional engineering discipline that deals with the design, construction, and maintenance of the physical and naturally built environment, including works such as roads, bridges, canals, dams, airports, sewerage systems, pipelines, and railways.
New!!: Dirichlet boundary condition and Civil engineering · See more »
Different types of boundary conditions in fluid dynamics
The most integral part of any Computational fluid dynamics (CFD) problem is the definition of its boundary conditions.
New!!: Dirichlet boundary condition and Different types of boundary conditions in fluid dynamics · See more »
Dirichlet problem
In mathematics, a Dirichlet problem is the problem of finding a function which solves a specified partial differential equation (PDE) in the interior of a given region that takes prescribed values on the boundary of the region.
New!!: Dirichlet boundary condition and Dirichlet problem · See more »
Electrostatics
Electrostatics is a branch of physics that studies electric charges at rest.
New!!: Dirichlet boundary condition and Electrostatics · See more »
Fluid dynamics
In physics and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids - liquids and gases.
New!!: Dirichlet boundary condition and Fluid dynamics · See more »
Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
New!!: Dirichlet boundary condition and Function (mathematics) · See more »
Laplace operator
In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a function on Euclidean space.
New!!: Dirichlet boundary condition and Laplace operator · See more »
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
New!!: Dirichlet boundary condition and Mathematics · See more »
Mechanical engineering
Mechanical engineering is the discipline that applies engineering, physics, engineering mathematics, and materials science principles to design, analyze, manufacture, and maintain mechanical systems.
New!!: Dirichlet boundary condition and Mechanical engineering · See more »
Mixed boundary condition
In mathematics, a mixed boundary condition for a partial differential equation defines a boundary value problem in which the solution of the given equation is required to satisfy different boundary conditions on disjoint parts of the boundary of the domain where the condition is stated.
New!!: Dirichlet boundary condition and Mixed boundary condition · See more »
Neumann boundary condition
In mathematics, the Neumann (or second-type) boundary condition is a type of boundary condition, named after Carl Neumann.
New!!: Dirichlet boundary condition and Neumann boundary condition · See more »
No-slip condition
In fluid dynamics, the no-slip condition for viscous fluids assumes that at a solid boundary, the fluid will have zero velocity relative to the boundary.
New!!: Dirichlet boundary condition and No-slip condition · See more »
Ordinary differential equation
In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and its derivatives.
New!!: Dirichlet boundary condition and Ordinary differential equation · See more »
Partial differential equation
In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives.
New!!: Dirichlet boundary condition and Partial differential equation · See more »
Peter Gustav Lejeune Dirichlet
Johann Peter Gustav Lejeune Dirichlet (13 February 1805 – 5 May 1859) was a German mathematician who made deep contributions to number theory (including creating the field of analytic number theory), and to the theory of Fourier series and other topics in mathematical analysis; he is credited with being one of the first mathematicians to give the modern formal definition of a function.
New!!: Dirichlet boundary condition and Peter Gustav Lejeune Dirichlet · See more »
Robin boundary condition
In mathematics, the Robin boundary condition (properly), or third type boundary condition, is a type of boundary condition, named after Victor Gustave Robin (1855–1897).
New!!: Dirichlet boundary condition and Robin boundary condition · See more »
Thermodynamics
Thermodynamics is the branch of physics concerned with heat and temperature and their relation to energy and work.
New!!: Dirichlet boundary condition and Thermodynamics · See more »
Redirects here:
Dirichlet BC, Dirichlet boundary conditions, Dirichlet condition, Dirichlet data, First-type boundary condition, Fixed boundary condition.
References
[1] https://en.wikipedia.org/wiki/Dirichlet_boundary_condition
