Título original |
Une méthode intégrale de frontière. Application au Laplacien et à l'élasticité. |
Título inglés |
A boundary integral method. Application to the Laplacian and to elasticity. |
Título español |
Un método integral de frontera: aplicación al laplaciano y a la elasticidad. |
Autor/es |
Lacroix, Marie-Thérèse |
Organización |
Lab. Math. UFR Sci. Tech., Besançon, Francia |
Revista |
0214-3577 |
Publicación |
1991, 4(2-3): 265-278, 12 Ref. |
Tipo de documento |
articulo |
Idioma |
Francés |
Resumen inglés |
The aim of the paper is to give a method to solve boundary value problems associated to the Helmholtz equation and to the operator of elasticity. We transform these problems in problems on the boundary Gamma of an open set of R3. After introducing a symplectic form on H1,2(G) x H-1,2(G) we obtain the adjoint of the boundary operator employed. Then the boundary problem has a solution if and only if the boundary conditions are orthogonal, for this bilinear form, to the elements of the kernel, in a good space, of the adjoint operator. We illustrate this result for a mixed problem for the Helmholtz equation (th. II.3) and the Dirichlet problem for elasticity (th. III.2), but there exist natural generalizations. |
Clasificación UNESCO |
120220 |
Palabras clave español |
Problemas de valor de frontera ; Operador laplaciano ; Elasticidad ; Ecuación de Helmholtz |
Código MathReviews |
MR1145699 |
Código Z-Math |
Zbl 0768.35017 |
Acceso al artículo completo |