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Numerical solution of scalar wave equation by the modified radial integration boundary element method
- Source :
- Engineering Analysis with Boundary Elements. 105:267-278
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
Abstract
- A radial integration boundary element method is applied to the analysis of two-dimensional scalar wave equation problem. Based on two kinds of fundamental solutions, two types of the integral equation is derived for solution of wave problem. Time domain integrals which are imposed to the solution are implemented using an efficient modified formulation of the radial integration method for concave shapes which was recently introduced in [1] . This boundary only element approach is applied to Newmark and Houbolt time stepping methods. Performance of the implemented formulation is evaluated using several numerical examples.
- Subjects :
- Physics
Applied Mathematics
Mathematical analysis
General Engineering
Boundary (topology)
02 engineering and technology
01 natural sciences
Integral equation
010101 applied mathematics
Computational Mathematics
020303 mechanical engineering & transports
0203 mechanical engineering
Time stepping
Time domain
0101 mathematics
Element (category theory)
Scalar field
Boundary element method
Analysis
Subjects
Details
- ISSN :
- 09557997
- Volume :
- 105
- Database :
- OpenAIRE
- Journal :
- Engineering Analysis with Boundary Elements
- Accession number :
- edsair.doi...........14cc836e7647b7780dc30a8615801232