Mean Value Properties of Solutions to the Helmholtz and Modified Helmholtz Equations [PDF]
Journal of Mathematical Sciences, 2021 11 pages, no ...
Nikolay Kuznetsov
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High-frequency asymptotics for the modified Helmholtz equation in a half-plane [PDF]
Boundary Value Problems, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang Min-hai
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A Modified Natural BEM for Exterior Problems of the Helmholtz Equation [PDF]
Advances in Intelligent Systems Research, 2015 In this paper, a modified natural boundary element method (MNBEM) by using a modified DtN operator to improve the natural boundary element method (NBEM) is proposed for Neumann BVPs of the Helmholtz equation on unbounded domains. We prove the existence and the uniqueness of the solution of its variational problem in L 2 (Γ), and obtain L 2 error ...
Quan Zheng, Yue Gao
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Boundary value problems for modified Helmholtz equations and applications [PDF]
Boundary Value Problems, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Longfei Gu, Zunwei Fu
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PENENTUAN JENIS FUNGSI BASIS RADIAL DALAM DUAL RECIPROCITY BOUNDARY ELEMENT METHOD
Majalah Ilmiah Matematika dan Statistika, 2021 Problems involving modified Helmholtz equation are considered in this paper. To solve the problem numerically, dual reciprocity boundary element method (DRBEM) is employed.
Millatuz Zahroh
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A Modified SSOR Preconditioning Strategy for Helmholtz Equations [PDF]
Journal of Applied Mathematics, 2011 The finite difference method discretization of Helmholtz equations usually leads to the large spare linear systems. Since the coefficient matrix is frequently indefinite, it is difficult to solve iteratively. In this paper, a modified symmetric successive overrelaxation (MSSOR) preconditioning strategy is constructed based on the coefficient matrix and
Wu, Shi-Liang, Li, Cui-Xia
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Solution of the modified Helmholtz equation in a triangular domain and an application to diffusion-limited coalescence [PDF]
Physical Review E, 2001 RevTeX, 7 pages, 3 ...
Daniel ben‐Avraham, A. S. Fokas
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Application of DRBEM for 2D sine-Gordon equation
Journal of Taibah University for Science, 2021 This research paper introduces an application of dual reciprocity boundary element method (DRBEM) for the solution of sine-Gordon equation (SGE) in two-space dimension. Initially, the time derivatives are expanded using central difference schemes.
Nagehan Alsoy-Akgün
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A diffraction problem for the biharmonic wave equation in one-dimensional periodic structures
Results in Applied Mathematics, 2023 This work concerns the propagation of flexural waves through one-dimensional periodic structures embedded in thin elastic plates. We show that the out-of-plane displacement of the plate only contains the Helmholtz wave component and the modified ...
Junhong Yue +3 more
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