Scattering by two staggered semi-infinite cracks on square lattice: an application of asymptotic Wiener-Hopf factorization
DOI10.1007/s00033-019-1183-2zbMath1425.74242arXiv1908.01952OpenAlexW2967499876WikidataQ127368617 ScholiaQ127368617MaRDI QIDQ2327859
Basant Lal Sharma, Gaurav Maurya
Publication date: 8 October 2019
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.01952
Factorization of matrices (15A23) Brittle fracture (74R10) Bulk waves in solid mechanics (74J10) Wave scattering in solid mechanics (74J20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Finite volume methods applied to problems in solid mechanics (74S10) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10) Partial difference equations (39A14)
Related Items (7)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Near-tip field for diffraction on square lattice by rigid constraint
- Acoustic scattering by two parallel slightly staggered rigid plates
- Constructive methods of Wiener-Hopf factorization
- Elastodynamical scattering by \(N\) parallel half-planes in \(\mathbb{R}^3\). II: Explicit solutions for \(N=2\) by explicit symbol factorization
- On linear waveguides of square and triangular lattice strips: an application of Chebyshev polynomials
- Continuum limit of discrete Sommerfeld problems on square lattice
- On the application of the Wiener --- Hopf technique to problems in dynamic elasticity
- Diffraction of waves on square lattice by semi-infinite rigid constraint
- Linear Elastic Waves
- Constructive methods for factorization of matrix-functions
- Near-Tip Field for Diffraction on Square Lattice by Crack
- Wave Propagation in Bifurcated Waveguides of Square Lattice Strips
- The scattering of sound by two semi-infinite parallel staggered plates. II. Evaluation of the velocity potential for an incident plane wave and an incident duct mode
- Factorization of a class of matrix‐functions with stable partial indices
- The scope and limitations of the method of wiener and hopf
- Systems of integral equations on a half line with kernels depending on the difference of arguments
- Factorization of a Wiener—Hopf Matrix
- On the Solution of Two Coupled Wiener–Hopf Equations
- General Wiener–Hopf Factorization of Matrix Kernels with Exponential Phase Factors
- On the scattering of sound by two semi-infinite parallel staggered plates - I. Explicit matrix Wiener-Hopf factorization
- Wiener‐hopf equations for waves scattered by a system of parallel sommerfeld half‐planes
- Elliptic Partial Differential Equations of Second Order
- Regular approximate factorization of a class of matrix-function with an unstable set of partial indices
- An Iterative Wiener--Hopf Method for Triangular Matrix Functions with Exponential Factors
- Elastodynamical Scattering by N Parallel Half-Planes in IR3
- Discrete scattering by a pair of parallel defects
- Diffraction of Waves on Square Lattice by Semi-Infinite Crack
- The radiation and transmission properties of a pair of semi-infinite parallel plates. I
- The radiation and transmission properties of a pair of parallel plates. II
This page was built for publication: Scattering by two staggered semi-infinite cracks on square lattice: an application of asymptotic Wiener-Hopf factorization
