出版社:The Editorial Committee of the Interdisciplinary Information Sciences
摘要:In this paper, we show new formulas on finite element method (FEM) and three dimensional FEM. By making use of them, we give several computer visions for the eigenvalue problems of the Laplacian for bounded domains and embedded compact surfaces in the three dimensional Euclidean space. As its applications, we can examine several examples to Yau’s problem on the eigenvalues between embedded surfaces and their enclosed three dimensional bounded domains.
关键词:eigenvalue problems of Laplacian;embedded surfaces;three dimensional domains;finite element methods