Finite volume method for solving the stochastic Helmholtz equation

DOI10.1186/s13662-019-2011-xzbMath1458.35491OpenAlexW2933838604WikidataQ128283063 ScholiaQ128283063MaRDI QIDQ667994

Ruimin Xu, Tingting Wu

Publication date: 4 March 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2011-x

zbMATH Keywords

finite volume methodwhite noisestochastic Helmholtz equation

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with randomness, stochastic partial differential equations (35R60) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items

In-silico study about the influence of electroporation parameters on the chemotherapeutic drug transport in cancer tissues using the meshless method of approximate particular solutions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A dispersion minimizing compact finite difference scheme for the 2D Helmholtz equation
• Finite element methods for semilinear elliptic stochastic partial differential equations
• An optimal compact sixth-order finite difference scheme for the Helmholtz equation
• Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
• Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number
• Numerical methods for stochastic partial differential equations with white noise
• A second-order hybrid finite volume method for solving the Stokes equation
• A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
• An inverse random source problem for the Helmholtz equation
• An inverse random source scattering problem in inhomogeneous media
• Inverse Random Source Scattering Problems in Several Dimensions
• Numerical solution of an inverse medium scattering problem with a stochastic source
• Discontinuous Galerkin Methods for the Helmholtz Equation with Large Wave Number
• Group Velocity in Finite Difference Schemes
• Finite element and difference approximation of some linear stochastic partial differential equations
• Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
• On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
• Numerical Approximation of Some Linear Stochastic Partial Differential Equations Driven by Special Additive Noises
• A construction of higher-order finite volume methods