The Laplacian eigenvalues of a polygon

Computers and Mathematics with Applications

Volumn 48, Issue 7-8, 2004, Pages 1121-1133

  Grinfeld, P ^a   Strang, G ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Boundary perturbations; Finite elements; Laplace eigenvalues; Movingboundary derivative; Polygons

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; EXTRAPOLATION; FINITE ELEMENT METHOD; GRAPH THEORY; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES;

BOUNDARY PERTURBATIONS; FINITE ELEMENTS; LAPLACE EIGENVALUES; MOVING BOUNDARY DERIVATIVES; POLYGONS;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 14644399879     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2004.10.010     Document Type: Article

References (9)

1. G. Strang, and G. Fix An Analysis of the Finite Element Method 1973 Wellesley-Cambridge Press
2. G. Strang, and A. Berger The change in solution due to change in domain AMS Symposium on Partial Differential Equations Berkeley 1971 199 206
3. A.B. Migdal Qualitative Methods in Quantum Theory 1977 W.A. Benjamin Wellesley, MA
4. T. Betcke, L.N. Trefethen, Reviving the method of particular solutions, Preprint.
5. L. Fox, P. Henrici, and C. Moler Approximations and bounds for eigenvalues of elliptic operators SIAM J. Numer. Analysis 4 1967 89 102
6. P.-O. Persson, and G. Strang A simple mesh generator in MATLAB SIAM Review 46 2004 329 345
7. P. Grinfeld Numerical solutions of physical problems governed by the principle of minimum energy Thesis 2003 Department of Mathematics, MIT Reading, MA
8. J. Classen, C.-K. Su, and H.J. Maris Observation of exploding electron bubbles in liquid helium Phys. Rev. Lett. 77 10 1996 2006
9. P. Grinfeld, and H. Kojima Instability of the 2S electron bubbles Phys. Rev. Lett. 91 10 2003 9007