Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/16756
Título: | Numerical null-solutions to iterated Dirac operator on bounded domains |
Autor: | Ku, Min Kähler, Uwe |
Palavras-chave: | Discrete Dirac operator Almansi-type decomposition Taylor series Numerical solutions |
Data: | Fev-2017 |
Editora: | Springer |
Resumo: | The main purpose of this paper is to study numerical null-solutions to the iterated Dirac operator on bounded domains by using methods of discrete Clifford analysis. First, we study the properties of discrete Euler operators, introduce its inverse operators, and construct a discrete version of the Almansi-type decomposition theorem for the iterated discrete Dirac operator. Then, we give representations of numerical null-solutions to the iterated Dirac operator on a bounded domain in terms of its Taylor series. Finally, in order to illustrate our numerical approach, we present a simple numerical example in form of a discrete approximation of the Stokes’ equation, and show its convergence to the corresponding continuous problem when the lattice constant goes to zero. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/16756 |
DOI: | 10.1007/s11785-016-0544-5 |
ISSN: | 1661-8254 |
Aparece nas coleções: | CIDMA - Artigos CHAG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
art%3A10.1007%2Fs11785-016-0544-5(1).pdf | Documento principal | 2.08 MB | Adobe PDF |
Todos os registos no repositório estão protegidos por leis de copyright, com todos os direitos reservados.