An alternating method for Cauchy problems for Helmholtz-type operators in non-homogeneous medium
2009 (English)In: IMA JOURNAL OF APPLIED MATHEMATICS, ISSN 0272-4960 , Vol. 74, no 1, 62-73 p.Article in journal (Refereed) Published
Kozlov & Mazya (1989, Algebra Anal., 1, 144-170) proposed an alternating iterative method for solving Cauchy problems for general strongly elliptic and formally self-adjoint systems. However, in many applied problems, operators appear that do not satisfy these requirements, e.g. Helmholtz-type operators. Therefore, in this study, an alternating procedure for solving Cauchy problems for self-adjoint non-coercive elliptic operators of second order is presented. A convergence proof of this procedure is given.
Place, publisher, year, edition, pages
2009. Vol. 74, no 1, 62-73 p.
IdentifiersURN: urn:nbn:se:liu:diva-16731DOI: 10.1093/imamat/hxn013OAI: oai:DiVA.org:liu-16731DiVA: diva2:160512