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An adaptive DPG method for high frequency time-harmonic wave propagation problems

  • Published:2017-10 Issue:8 Volume:74 Page:1999-2017
  • ISSN:0898-1221
  • Container-title:Computers & Mathematics with Applications
  • language:en
  • Short-container-title:Computers & Mathematics with Applications

Author:

Petrides SocratisORCID,Demkowicz Leszek F.

Funder

AFOSR

National Science Foundation

ONR

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference39 articles.

1. Non-Diffracting Waves: An Introduction;Recami,2013

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

3. Various variational formulations and closed range theorem;Demkowicz;ICES Report,2015

4. Breaking spaces and forms for the DPG method and applications including Maxwell equations;Carstensen;Comput. Math. Appl.,2016

5. The DPG methodology applied to different variational formulations of linear elasticity;Keith;Comput. Methods Appl. Mech. Engrg.,2016

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1. High-performance finite elements with MFEM;The International Journal of High Performance Computing Applications;2024-06-14

2. A DPG method for planar div-curl problems;Computers & Mathematics with Applications;2024-04

3. A Novel Matrix-Free Finite Element Method for Time-Harmonic Maxwell’s Equations;IEEE Transactions on Antennas and Propagation;2024-03

4. Scalable DPG multigrid solver for Helmholtz problems: A study on convergence;Computers & Mathematics with Applications;2023-10

5. Error representation of the time-marching DPG scheme;Computer Methods in Applied Mechanics and Engineering;2022-03
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