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Showing 1 to 17 of 17 for “"Absorbing boundary conditions"”.
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Compressed absorbing boundary conditions for the Helmholtz equation
Absorbing layers are sometimes required to be impractically thick in order to offer an accurate approximation of an absorbing boundary condition for the Helmholtz equation in a heterogeneous medium. It is always possible to reduce an absorbing layer to an operator at the boundary by layer-stripping …
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Perfectly Matched Layer Absorbing Boundary Conditions for the Discrete Velocity Boltzmann-BGK Equation
<p>Perfectly Matched Layer (PML) absorbing boundary conditions were first proposed by Berenger in 1994 for the Maxwell's equations of electromagnetics. Since Hu first applied the method to Euler's equations in 1996, progress made in the application of PML to Computational Aeroacoustics (CAA) …
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Analysis and Application of Perfectly Matched Layer Absorbing Boundary Conditions for Computational Aeroacoustics
… (PML) was originally proposed by Berenger as an absorbing boundary condition for Maxwell's equations in 1994 and is still used extensively in the field of electromagnetics. The idea was extended to Computational Aeroacoustics in 1996, when Hu applied the method to Euler's equations. Since that …
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Asymptotic and absorbing boundary conditions for finite element analysis of digital circuit and scattering problems
… line configurations. Results show that the boundary condition concepts introduced in this work yield good agreement with work published elsewhere and significant improvements in computation time and storage compared to other available methods.
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Optimal Spatial Grids for Efficient Numerical Simulation of Time-Domain Electromagnetic Phenomena by Finite Methods
… of optimal grids to perfectly matched layer absorbing boundary conditions is presented. In this development, a single optimal grid combining the interior computational and exterior absorbing regions (with Dirichlet or Neumann boundary) is constructed, and the perfectly matched layer loss …
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Boundary conditions for the solution of open-region electromagnetic scattering problems
… problems using finite mathematics techniques, an absorbing boundary condition must be used to truncate the mesh region. A review of analytical absorbing boundary conditions that have been derived previously is presented, and an alternate, analytical-type, absorbing boundary operator is derived. It …
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Analysis of Dielectric Waveguides and Microstrip Lines Using Krylov Subspace-Based Techniques
… perfectly matched layers (PML) as a material absorbing boundary conditions.
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Advanced Time-Domain Finite-Element Method for Electromagnetic Analysis
… the development of accurate and efficient absorbing boundary conditions for the mesh truncation of the TDFEM, the complete elimination of matrix solution required by the TDFEM solution of vector wave equations, the higher-order TDFEM schemes, the TDFEM modeling of general dispersive media, …
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Implementation of the Finite Difference Time Domain algorithm for the analysis of terahertz waves
… shown based on Maxwell's equations. Furthermore, absorbing boundary conditions (ABCs) are discussed for the FDTD method. The algorithm is tested against a range of problems to ensure its validity and accuracy. The FDTD method is then applied for the numerical analysis of a range of devices at …
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Constraint preserving boundary conditions for the linearized Einstein equations
… system and analyze different kinds of boundary conditions that are designed to ensure that the constraints vanish throughout the computational domain: the Neumann, Dirichlet, and Sommerfeld cases. In addition to the situation in which the boundary is aligned with a coordinate surface, …
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Dynamics of diatomic molecules in intense laser fields
… hydrogen atom in intense laser fields. Second, absorbing boundary conditions in basis expansion are introduced via an imaginary potential into the effective one-particle Hamiltonian. It is shown that the used form of the absorber potential is valid in many-electron time-dependent density …
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Diffusion related processes in nanoconfined liquids and in proteins under force
… coefficients in inhomogeneous liquids, we apply absorbing boundary conditions in the analysis of molecular dynamics trajectories of confined acetonitrile. We show that the dynamics of acetonitrile may be described by a two population exchange model that accounts for bulk-like relaxation in the …
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Computational Studies on Bimetallic Catalysis and X-ray Absorption Spectroscopy
… functionals and molecular orbital-based absorbing boundary conditions were utilized to model near and above ionization spectral features without experimental parameterization. The calculated spectra match well with the experimental results over the range of approximately 105 – 130 eV.
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Tfdtlm: a New Computationally Efficient Frequency Domain Tlm Based on Transient Analysis Techniques
… with existing time domain TLM schemes as well as absorbing boundary conditions originally developed for time domain TLM with the slightest modifications. The TFDTLM is implemented a three dimensional mesh and the superior performance of the new approach in modeling lossy inhomogeneous media is …
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Analytical Solutions of the SABR Stochastic Volatility Model
… derive accurate asymptotic formulas in both free-boundary conditions and absorbing-boundary conditions. We further establish an existence result to characterize the truncation error and examined extensively the derived formulas through various numerical examples. Finally we go back to the fixed …
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Modeling the interaction of light with photonic structures by direct numerical solution of Maxwell's equations
… from existing literature of a new class of absorbing boundary conditions, the so called Convolutional-Perfectly Matched Layer, and their implementation; the analysis from existing literature and implementation of the Auxiliary Differential Equation Method for the inclusion of frequency …