A numerical study of the pollution error and DPG adaptivity for long waveguide simulations

Author:

Henneking S.ORCID,Demkowicz L.

Funder

Air Force Office of Scientific Research

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference29 articles.

1. Wavenumber explicit analysis of a DPG method for the multidimensional Helmholtz equation;Demkowicz;Comput. Methods Appl. Mech. Engrg.,2012

2. Adaptive multilevel solvers for the discontinuous Petrov–Galerkin method with an emphasis on high-frequency wave propagation proble;Petrides,2019

3. An adaptive DPG method for high frequency time-harmonic wave propagation problems;Petrides;Comput. Math. Appl.,2017

4. Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers?;Babuška;SIAM J. Numer. Anal.,1997

5. Finite element solution of the Helmholtz equation with high wave number part II: the hp version of the FEM;Ihlenburg;SIAM J. Numer. Anal.,1997

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