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Can I read Numerical Generation of Transparent Boundary Conditions on the Side Surface of a Vertical Transverse Isotropic Layer on EtoBox?
Numerical Generation of Transparent Boundary Conditions on the Side Surface of a Vertical Transverse Isotropic Layer by I.L. Sofronov; N.A. Zaitsev is a Mathematics article available to read on EtoBox.
What is Numerical Generation of Transparent Boundary Conditions on the Side Surface of a Vertical Transverse Isotropic Layer about?
We consider elastodynamics in transversely isotropic media with vertical symmetry axis. The governing equations are the two-dimensional second-order system for displacements. A numerical method for generating transparent boundary conditions on the cylindrical surface is proposed. The correspondent operator is non-local in both z-direction and time: it handles low-frequency spatial harmonics of the solution convolving their Fourier coefficients with sums-of-exponentials kernels with respect to time. Test calculations show high accuracy, efficiency, and stability of the proposed non-reflecting conditions even for those media parameters where PML fails.
Who reads Numerical Generation of Transparent Boundary Conditions on the Side Surface of a Vertical Transverse Isotropic Layer?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- I.L. Sofronov; N.A. Zaitsev
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0377-0427)
- Published
- 2010
- Language
- EN
- Field
- Mathematics (Physical Sciences)