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
- D. Constales, R. De Almeida, R.S. Krausshar, A Generalization of Wiman and Valiron‘s theory to the Clifford analysis setting , CUBO, A Mathematical Journal: Vol. 11 No. 1 (2009): CUBO, A Mathematical Journal
- S.V. Ludkovsky, Wrap groups of fiber bundles and their structure , CUBO, A Mathematical Journal: Vol. 11 No. 1 (2009): CUBO, A Mathematical Journal
- Wolfgang Sproessig, Le Thu Hoai, On a new notion of holomorphy and its applications , CUBO, A Mathematical Journal: Vol. 11 No. 1 (2009): CUBO, A Mathematical Journal
- Rinko Shinzato, Wataru Takahashi, A Strong Convergence Theorem by a New Hybrid Method for an Equilibrium Problem with Nonlinear Mappings in a Hilbert Space , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Martin V¨ath, A Disc-Cutting Theorem and Two-Dimensional Bifurcation of a Reaction-Diffusion System with Inclusions , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- George A. Anastassiou, Poincar´e Type Inequalities for Linear Differential Operators , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Ravi P. Agarwal, Michael E. Filippakis, Donal O‘Regan, Nikolaos S. Papageorgiou, Multiple Solutions for Doubly Resonant Elliptic Problems Using Critical Groups , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Miki Matsuo, Kazuo Nishimura, Tomoya Sakagami, Alain Venditti, Equilibrium Cycles in a Two-Sector Economy with Sector Specific Externality , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- J¨orn Steuding, The Fibonacci Zeta-Function is Hypertranscendental , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- F. Brackx, H. De Schepper, The Hilbert Transform on a Smooth Closed Hypersurface , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
<< < 15 16 17 18 19 20 21 22 23 24 25 26 > >>
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
