Objective
Research objectives and content
The scattering of elastic waves by effectively unbounded rough surfaces is to be studied. The object is to derive theoretical results as well as develop and analyse numerical methods to compute approximate solutions. The propagation of time-harmonic elastic waves in isotropic media is described by the Navier equation. In a first phase of the project, existence and uniqueness theorems for solutions to this equation in unbounded domains are to be derived employing boundary integral equation methods. Work is to be based on results for scattering of elastic waves by periodic surfaces currently underway and on results on scattering of acoustic waves by rough surfaces obtained at the host institution. In the second phase of the project, numerical methods for the computation of approximate solutions to the systems of boundary integral equations derived in phase one are to be developed and analysed. The procedure will involve truncation of the interval of integration, formulation as a linear system employing a Nystrvm method and solving this system utilising fast iterative schemes. It is hoped to limit the computational cost to O(N log N) operations.
Training content (objective, benefit and expected impact)
Training will mainly be provided in mathematical analysis of problems of scattering of waves by unbounded obstacles and development and analysis of fast iterative methods for the approximate solution of such problems, this second aspect being particularly attractive to me. The proposed project will complete my PhD studies and enable me to submit my thesis by September 2000.
Links with industry / industrial relevance (22)
Engineering literature displays great interest in reliable methods for the solution of scattering problems involving unbounded rough surfaces.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics mathematical analysis
- natural sciences mathematics applied mathematics numerical analysis
You need to log in or register to use this function
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Data not available
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
UB8 3PH Uxbridge
United Kingdom
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.