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Spectral/hp Element Methods for Computational Fluid Dynamics

George Karniadakis and Spencer Sherwin

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198528692
eISBN:
9780191713491
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528692.001.0001
Subject:
Mathematics, Numerical Analysis

Spectral methods have long been popular in direct and large eddy simulation of turbulent flows, but their use in areas with complex-geometry computational domains has historically been much more ... More


NON-CONFORMING ELEMENTS

George Em Karniadakis and Spencer J. Sherwin

in Spectral/hp Element Methods for Computational Fluid Dynamics

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198528692
eISBN:
9780191713491
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528692.003.0007
Subject:
Mathematics, Numerical Analysis

This chapter discusses the topic of non-conforming elements for second-order operators. It includes a comprehensive presentation of the discontinuous Galerkin method with a comparison of different ... More


The Discontinuous Galerkin Method

Heiner Igel

in Computational Seismology: A Practical Introduction

Published in print:
2016
Published Online:
January 2017
ISBN:
9780198717409
eISBN:
9780191835070
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198717409.003.0009
Subject:
Physics, Geophysics, Atmospheric and Environmental Physics

The discontinuous Galerkin method is introduced as a special type of finite-element method in which the solution fields are allowed to be discontinuous at the element boundaries. This requires the ... More


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