Discontinuous Galerkin methods in nanophotonics
This article reviews the state of the recently developed discontinuous Galerkin finite element
method for the efficient numerical treatment of nanophotonic systems. This approach …
method for the efficient numerical treatment of nanophotonic systems. This approach …
Large-scale simulation of seismic wave motion: A review
We review key ingredients that are needed for high-fidelity simulation of earthquake-
generated seismic waves in large regions. Specifically, we survey existing literature on wave …
generated seismic waves in large regions. Specifically, we survey existing literature on wave …
A comparative study of finite element and spectral element methods in seismic wavefield modeling
Y Liu, J Teng, H Lan, X Si, X Ma - Geophysics, 2014 - library.seg.org
The computational accuracy and efficiency of finite element method and spectral element
method (SEM) are investigated thoroughly in time-domain elastic wavefield modeling. The …
method (SEM) are investigated thoroughly in time-domain elastic wavefield modeling. The …
[HTML][HTML] Whitney edge elements and the Runge phenomenon
It is well known that Lagrange interpolation based on equispaced nodes can yield poor
results. Oscillations may appear when using high degree polynomials. For functions of one …
results. Oscillations may appear when using high degree polynomials. For functions of one …
[PDF][PDF] 三角网格谱元法地震波场数值模拟
刘有山， 滕吉文， 徐涛， 刘少林， 司芗， 马学英 - 地球物理学进展, 2014 - researchgate.net
摘要谱元法结合了有限元法的灵活性和谱方法的指数收敛性, 高效且高精度,
是近年来发展的一种重要的地震波场数值模拟方法. 经典的谱元法采用四边形(六面体) 网格 …
是近年来发展的一种重要的地震波场数值模拟方法. 经典的谱元法采用四边形(六面体) 网格 …
Higher-order triangular spectral element method with optimized cubature points for seismic wavefield modeling
The mass-lumped method avoids the cost of inverting the mass matrix and simultaneously
maintains spatial accuracy by adopting additional interior integration points, known as …
maintains spatial accuracy by adopting additional interior integration points, known as …
[HTML][HTML] Computing Fekete and Lebesgue points: simplex, square, disk
M Briani, A Sommariva, M Vianello - Journal of Computational and Applied …, 2012 - Elsevier
We have computed point sets with maximal absolute value of the Vandermonde determinant
(Fekete points) or minimal Lebesgue constant (Lebesgue points) on three basic …
(Fekete points) or minimal Lebesgue constant (Lebesgue points) on three basic …
A nodal high-order discontinuous Galerkin method for elastic wave propagation in arbitrary heterogeneous media
ED Mercerat, N Glinsky - Geophysical Journal International, 2015 - academic.oup.com
We present an extension of the nodal discontinuous Galerkin method for elastic wave
propagation to high interpolation orders and arbitrary heterogeneous media. The high-order …
propagation to high interpolation orders and arbitrary heterogeneous media. The high-order …
[图书][B] Numerical methods for partial differential equations: An introduction
V Ruas - 2016 - books.google.com
Numerical Methods for Partial Differential Equations: An Introduction Vitoriano Ruas,
Sorbonne Universités, UPMC-Université Paris 6, France A comprehensive overview of …
Sorbonne Universités, UPMC-Université Paris 6, France A comprehensive overview of …
[HTML][HTML] 任意各向异性介质三维非结构谱元法直流电阻率正演模拟研究
朱姣， 殷长春， 任秀艳， 刘云鹤， 惠哲剑， 谷宇 - 地球物理学报, 2021 - html.rhhz.net
各向异性是地电异常解释中不可忽视的因素, 广泛存在于裂隙或层理发育的地质环境中.
本文针对任意各向异性条件下直流电阻率法三维正演问题进行研究, 结合非结构谱元法建立模拟 …
本文针对任意各向异性条件下直流电阻率法三维正演问题进行研究, 结合非结构谱元法建立模拟 …