Towards accurate artificial boundary conditions for nonlinear PDEs through examples
-
Xavier Antoine
Xavier.Antoine@iecn.u-nancy.fr
-
Christophe Besse
Christophe.Besse@math.univ-lille1.fr
-
Jérémie Szeftel
jszeftel@math.princeton.edu
Downloads
Abstract
The aim of this paper is to give a comprehensive review of current developments related to the derivation of artificial boundary conditions for nonlinear partial differential equations. The essential tools to build such boundary conditions are based on pseudodifferential and paradifferential calculus. We present various derivations and compare them. Some numerical results illustrate their respective accuracy and analyze the potential of each technique.
Keywords
Similar Articles
- Abderemane Morame, Françoise Truc, Accuracy on eigenvalues for a Schrödinger operator with a degenerate potential in the semi-classical limit , CUBO, A Mathematical Journal: Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal
- Vadim N. Biktashev, Envelope equations for modulated non-conservative waves , CUBO, A Mathematical Journal: Vol. 5 No. 1 (2003): CUBO, Matemática Educacional
- Qikeng Lu, Global Solutions of Yang-Mills Equation , CUBO, A Mathematical Journal: Vol. 8 No. 2 (2006): CUBO, A Mathematical Journal
- Aboudramane Guiro, Idrissa Ibrango, Stanislas Ouaro, Weak homoclinic solutions to discrete nonlinear problems of Kirchhoff type with variable exponents , CUBO, A Mathematical Journal: Vol. 19 No. 3 (2017): CUBO, A Mathematical Journal
- Ravi P. Agarwal, Triple solutions of constant sign for a system of fredholm integral equations , CUBO, A Mathematical Journal: Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal
- David Békollè, Khalil Ezzinbi, Samir Fatajou, Duplex Elvis Houpa Danga, Fritz Mbounja Béssémè, Convolutions in \((\mu,\nu)\)-pseudo-almost periodic and \((\mu,\nu)\)-pseudo-almost automorphic function spaces and applications to solve integral equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Colette Anné, Anne-Marie Charbonnel, Bohr-Sommerfeld conditions for several commuting Hamiltonians , CUBO, A Mathematical Journal: Vol. 6 No. 2 (2004): CUBO, A Mathematical Journal
- Volodymyr Sushch, Discrete model of Yang-Mills equations in Minkowski space , CUBO, A Mathematical Journal: Vol. 6 No. 2 (2004): CUBO, A Mathematical Journal
- Slawomir Kolodziej, The complex Monge-Ampére equation and methods of pluripotential theory , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
- Chao-Ping Chen, Ai-Qi Liu, Feng Qi, Proofs for the Limit of Ratios of Consecutive Terms in Fibonacci Sequence , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
<< < 12 13 14 15 16 17 18 19 20 21 22 23 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2009-09-01
How to Cite
[1]
X. Antoine, C. Besse, and J. Szeftel, “Towards accurate artificial boundary conditions for nonlinear PDEs through examples”, CUBO, vol. 11, no. 4, pp. 29–48, Sep. 2009.
Issue
Section
Articles
