Results 71 to 80 of about 63,527 (207)

An efficient quarter-sweep modified SOR iterative method for solving helmholtz equation [PDF]

, 2012
The aim of this article is to describe the formulation of quarter-sweep Modified Successive Over-relaxation (QSMSOR) method using the finite difference approach for solving two-dimensional Helmholtz equation.
Jumat Sulaiman, Mohamed Othman, Mohamed Suleiman, Mohd Kamalrulzaman Md Akhir, Zanariah Abdul Majid   +4 more
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Numerical Solution of the Helmholtz Equation for the Superellipsoid via the Galerkin Method for the Dirichlet Problem [PDF]

, 2013
The objective of this work was to find the numerical solution of the Dirichlet problem for the Helmholtz equation fora smooth superellipsoid. The superellipsoid is a shape that is controlled by two parameters. There are some numerical issues in this type
Dinh, Hy, Warnapala, Yajni
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Zel'dovich approximation and General Relativity

, 2012
We show how the Zel'dovich approximation and the second order displacement field of Lagrangian perturbation theory can be obtained from a general relativistic gradient expansion in \Lambda{}CDM cosmology.
Rampf, Cornelius, Rigopoulos, Gerasimos
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An efficient and accurate modified Adomian decomposition method for solving the Helmholtz equation with high-wavenumber [PDF]

Surveys in Mathematics and its Applications
This paper presents a modified Adomian decomposition method (MADM) for solving the one and two-dimensional Helmholtz equation with large wavenumbers. The standard Adomian decomposition method (ADM) suffers from severe divergence issues as the wavenumber ...
Saleem Nasser Alomari , Yahya Qaid Hasan   +1 more
doaj  

The Numerical Solution of the Exterior Impedance (Robin) Problem for the Helmholtz’s Equation via Modified Galerkin Method: Superllipsoid [PDF]

, 2015
This thesis focuses on finding the solution for the exterior Robin Problem for the Helmholtz Equation and therefore, determines how a convergent smooth surface depending on its outer shape, in this case the superellipsoid, responds to different outer ...
Dinh, Hy
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Fourier Based Fast Multipole Method for the Helmholtz Equation

, 2011
The fast multipole method (FMM) has had great success in reducing the computational complexity of solving the boundary integral form of the Helmholtz equation.
Cecka, Cris, Darve, Eric
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DUAL RECIPROCITY BOUNDARY ELEMENT METHOD FOR SOLVING TIME-DEPENDENT WATER INFILTRATION PROBLEMS IN IMPERMEABLE CHANNEL IRRIGATION SYSTEMS

Barekeng
The mathematical model of water infiltration in a furrow irrigation channel with an impermeable layer in homogeneous soil is formulated as a Boundary Value Problem (BVP) with the Modified Helmholtz Equation as the governing equation and mixed boundary ...
Yanne Irene, Muhammad Manaqib, Mochammad Rafli Alamsyah, Madona Yunita Wijaya   +3 more
doaj   +1 more source

On stability of discretizations of the Helmholtz equation (extended version)

, 2011
We review the stability properties of several discretizations of the Helmholtz equation at large wavenumbers. For a model problem in a polygon, a complete $k$-explicit stability (including $k$-explicit stability of the continuous problem) and convergence
A Bayliss, A. Buffa, AH Barnett, AK Aziz, B Pluymers, C Farhat, CS Morawetz, E Perrey-Debain, EA Spence, F. Ihlenburg, I Babuška, I Babuška, I Harari, I Harari, I. Babuška, JM Melenk, JM Melenk, JM Melenk, L Banjai, M Ainsworth, M Ainsworth, M Ainsworth, M Stojek, O Cessenat, O Cessenat, O Laghrouche, P Cummings, P Monk, P Monk, P Ortiz, R Hiptmair, R Leis, R Tezaur, RJ Astley, SA Sauter, SI Pohožaev, SN Chandler-Wilde, T Betcke, T Huttunen, T Huttunen, T Strouboulis, U Hetmaniuk, X Feng, X Feng, ZC Li   +44 more
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Electric Double Layer and Orientational Ordering of Water Dipoles in Narrow Channels within a Modified Langevin Poisson-Boltzmann Model

Entropy, 2020
The electric double layer (EDL) is an important phenomenon that arises in systems where a charged surface comes into contact with an electrolyte solution. In this work we describe the generalization of classic Poisson-Boltzmann (PB) theory for point-like
Mitja Drab, Ekaterina Gongadze, Veronika Kralj-Iglič, Aleš Iglič   +3 more
doaj   +1 more source

Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers [PDF]

, 2010
This paper introduces a new sweeping preconditioner for the iterative solution of the variable coefficient Helmholtz equation in two and three dimensions. The algorithms follow the general structure of constructing an approximate $LDL^t$ factorization by
Engquist, Björn, Ying, Lexing
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