التفاصيل البيبلوغرافية
| العنوان: |
A space-time BIE method for wave equation problems: the (two-dimensional) Neumann case. |
| المؤلفون: |
Falletta, S., Monegato, G., Scuderi, L. |
| المصدر: |
IMA Journal of Numerical Analysis; Jan2014, Vol. 34 Issue 1, p390-434, 45p |
| مصطلحات موضوعية: |
SPACETIME, PROBLEM solving, WAVE equation, NEUMANN boundary conditions, NUMERICAL analysis, BOUNDARY element methods |
| مستخلص: |
In this paper, initially we consider the (two- and three-dimensional) interior and exterior problems for the scalar wave equation, with a Neumann boundary condition and, in general, with nontrivial data. For these problems, we derive a space-time hypersingular boundary integral equation formulation. Then, in the two-dimensional case, we propose a numerical approach for the computation of the extra ‘volume’ integrals generated by the problem data. To solve the above integral equation in the two-dimensional case, we propose to use second-order Lubich convolution quadrature for the discretization of the time integral, coupled with a (space) ε-collocation boundary element method. We also analyse the numerical evaluation of all the integrals required by this method. Finally, to show the efficiency of the proposed numerical approach and to detect its convergence rate, we solve some two-dimensional test problems by applying the new method, as well as the corresponding Galerkin one. Several numerical examples are presented. [ABSTRACT FROM PUBLISHER] |
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| قاعدة البيانات: |
Complementary Index |
