Absorbing boundary conditions and geometric integration: A case study for the wave equation-Reference-Cited by-同舟云学术

Absorbing boundary conditions and geometric integration: A case study for the wave equation

Published:2015-05 Issue: Volume:111 Page:1-16
ISSN:0378-4754
Container-title:Mathematics and Computers in Simulation
language:en
Short-container-title:Mathematics and Computers in Simulation

Author:

Alonso-Mallo I.,Portillo A.M.

Publisher

Elsevier BV

Subject

Applied Mathematics,Modelling and Simulation,Numerical Analysis,General Computer Science,Theoretical Computer Science

Reference22 articles.

1. A proof of the well posedness of discretized wave equation with an absorbing boundary condition;Alonso-Mallo;J. Numer. Math.,2014

2. I. Alonso-Mallo, A.M. Portillo, On the well posedness of discretized wave equations with local high order absorbing boundary conditions, unpublished report, 2010.

3. High order full discretizations of coupled wave equations with absorbing boundary conditions and geometric integration;Alonso-Mallo;J. Comput. Phys.,2014

4. Weak ill-posedness of spatial discretizations of absorbing boundary conditions for Schrödinger-type equations;Alonso-Mallo;SIAM J. Numer. Anal.,2002

5. Discrete absorbing boundary conditions for Schrd¨inger-type equations. Construction and error analysis;Alonso-Mallo;SIAM J. Numer. Anal.,2003

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An Explicit Exponential Integrator Based on Faber Polynomials and its Application to Seismic Wave Modeling;Journal of Scientific Computing;2024-01-03

2. Time exponential splitting integrator for the Klein–Gordon equation with free parameters in the Hagstrom–Warburton absorbing boundary conditions;Journal of Computational and Applied Mathematics;2018-05

3. Time exponential splitting technique for the Klein–Gordon equation with Hagstrom–Warburton high-order absorbing boundary conditions;Journal of Computational Physics;2016-04

4. Analytical and Numerical Modelling of a Sub- and Supersonic Moving Load Front Along a Rod’s Skin;Advanced Structured Materials;2016