Topic
Robin boundary condition
About: Robin boundary condition is a research topic. Over the lifetime, 8741 publications have been published within this topic receiving 164799 citations.
Papers published on a yearly basis
1 / 2
Papers
TL;DR: In this paper, highly absorbing boundary conditions for two-dimensional time-domain electromagnetic field equations are presented for both two-and three-dimensional configurations and numerical results are given that clearly exhibit the accuracy and limits of applicability of these boundary conditions.
Abstract: When time-domain electromagnetic-field equations are solved using finite-difference techniques in unbounded space, there must be a method limiting the domain in which the field is computed. This is achieved by truncating the mesh and using absorbing boundary conditions at its artificial boundaries to simulate the unbounded surroundings. This paper presents highly absorbing boundary conditions for electromagnetic-field equations that can be used for both two-and three-dimensional configurations. Numerical results are given that clearly exhibit the accuracy and limits of applicability of highly absorbing boundary conditions. A simplified, but equally accurate, absorbing condition is derived for two- dimensional time-domain electromagnetic-field problems.
2,724 citations
Book•
1 Feb 1992TL;DR: In this paper, Green's functions in domains bounded by a solid surface are used to define boundary integral methods based on the Stream Function, and numerical solutions of the integral equations are provided.
Abstract: 1. Preliminaries 2. Green's Functions and the Boundary Integral Equation 3. Green's Functions in domains bounded by a solid surface 4. Generalized boundary integral methods 5. Interfacial motion 6. Boundary integral methods based on the Stream Function 7. Discrete representation of a boundary 8. Numerical solution of the integral equations.
2,133 citations
TL;DR: In this article, a Sommerfeld radiation condition (2.2) was proposed for problems requiring a prescribed open boundary, and two severe tests were used to demonstrate the applicability of the open boundary condition: collapsing bubble, a dynamic event which excites many different internal gravity waves.
2,021 citations
1 Jan 1967
1,575 citations
1 Jan 1985
TL;DR: In this paper, the method of finite differences is used to compare Equations of Elliptic Type, Parabolic Type, Hyperbolic Type, and Equation of Parabolical Type.
Abstract: I Preliminary Considerations.- II Equations of Elliptic Type.- III Equations of Parabolic Type.- IV Equations of Hyperbolic Type.- V Some Generalizations.- VI The Method of Finite Differences.
1,548 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2026 | 1 |
| 2025 | 17 |
| 2024 | 30 |
| 2023 | 64 |
| 2022 | 122 |
| 2021 | 168 |