Time-domain bem analysis for the 2D scalar wave equation: initial conditions contributions to space and time derivatives

International Journal for Numerical Methods in Engineering

Volumn 39, Issue 13, 1996, Pages 2169-2188

  Carrer, J A M ^a   Mansur, W J ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

Intial conditions; Space and time derivatives; Time domain BEM; Wave equation

Indexed keywords

APPROXIMATION THEORY; BOUNDARY ELEMENT METHOD; INTEGRAL EQUATIONS; INTEGRATION;

BOUNDARY KERNELS; FINITE PART OF INTEGRAL CONCEPT; KERNEL REGULARIZATION; SPACE DERIVATIVES; TIME DERIVATIVES; TIME INTEGRATION; TWO DIMENSIONAL SCALAR WAVE EQUATION; VOLTERRA INTEGRAL REPRESENTATION;

TIME DOMAIN ANALYSIS;

BOUNDARY ELEMENT METHODS; WAVES;

EID: 0030176482     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19960715)39:13<2169::AID-NME949>3.0.CO;2-1     Document Type: Article

References (6)

1. J. Hadamard, Lectures on Cauchy's Problem in Linear Partial Differential Equations, Dover Publications, New York, 1952.
2. W. J. Mansur and J. A. M. Carrer, 'Two-dimensional transient BEM analysis for the scalar wave equation: kernels', Eng. Anal. Boundary Elements, 12, 283-288 (1993).
3. J. A. M. Carrer and W. J. Mansur, 'Space derivatives in the time domain BEM analysis for the scalar wave equation', Eng. Anal. Boundary Elements, 13, 67-74 (1994).
4. W. J. Mansur, 'A time-stepping technique to solve wave propagation problems using the boundary element method', Ph.D. Thesis, University of Southampton, England, 1983.
5. H. R. Kutt, 'On the numerical evaluation of finite-part integrals involving an algebraic singularity', Special Report WISK 179, National Research Institute for Mathematical Sciences, Pretoria, 1979.
6. H. Antes and O. Von Estorff, "On FEM-BEM coupling for fluid-structure interaction analyses in the time domain', Int. j. numer. methods eng., 31, 1151-1168 (1991).