An explicit link between Gaussian fields and Gaussian Markov random fields: the stochastic partial differential equation approach

F Lindgren, H Rue, J Lindström - Journal of the Royal Statistical …, 2011 - academic.oup.com
Summary Continuously indexed Gaussian fields (GFs) are the most important ingredient in
spatial statistical modelling and geostatistics. The specification through the covariance …

High-order local non-reflecting boundary conditions: a review

D Givoli - Wave motion, 2004 - Elsevier
A common method for numerically solving wave problems in unbounded domains is based
on truncating the infinite domain via an artificial boundary B, thus defining a finite …

A review of finite-element methods for time-harmonic acoustics

LL Thompson - The Journal of the Acoustical Society of America, 2006 - pubs.aip.org
State-of-the-art finite-element methods for time-harmonic acoustics governed by the
Helmholtz equation are reviewed. Four major current challenges in the field are specifically …

High-order non-reflecting boundary scheme for time-dependent waves

D Givoli, B Neta - Journal of Computational Physics, 2003 - Elsevier
A new non-reflecting boundary scheme is proposed for time-dependent wave problems in
unbounded domains. The linear time-dependent wave equation, with or without a dispersive …

Numerical modelling in geo-electromagnetics: advances and challenges

RU Börner - Surveys in Geophysics, 2010 - Springer
During the last decade, tremendous advances have been observed in the broad field of
numerical modelling for geo-electromagnetic applications. This trend received support due …

Developments in structural-acoustic optimization for passive noise control

S Marburg - Archives of computational methods in engineering, 2002 - Springer
Low noise constructions receive more and more attention in highly industrialized countries.
Consequently, decrease of noise radiation challenges a growing community of engineers …

A novel non-reflecting boundary condition for fluid dynamics solved by smoothed particle hydrodynamics

P Wang, AM Zhang, F Ming, P Sun… - Journal of Fluid …, 2019 - cambridge.org
Non-reflecting boundary conditions (NRBCs) play an important role in computational fluid
dynamics (CFD). A novel NRBC based on the method of characteristics using timeline …

A direct time-domain FEM-SBFEM-SBPML method for soil-structure interaction analysis using quadtree mesh

M Zhao, P Liu, J Zhang, G Zhang, Z Gao… - Computers and …, 2023 - Elsevier
In this paper, a novel direct time-domain numerical method, called the FEM-SBFEM-SBPML,
is proposed to study the wave propagation problems in soil-structure interaction (SSI) …

A survey of finite element methods for time-harmonic acoustics

I Harari - Computer methods in applied mechanics and …, 2006 - Elsevier
Many of the current issues and methodologies related to finite element methods for time-
harmonic acoustics are reviewed. The effective treatment of unbounded domains is a major …

Burton–Miller-type singular boundary method for acoustic radiation and scattering

ZJ Fu, W Chen, Y Gu - Journal of Sound and Vibration, 2014 - Elsevier
This paper proposes the singular boundary method (SBM) in conjunction with Burton and
Miller׳ s formulation for acoustic radiation and scattering. The SBM is a strong-form …