Ss antman je marsden l. sirovich
JKHPHJ Keener, JKBJMA Mielke, CSPKR Sreenivasan - 2005 - Springer
The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …
physically natural, and conceptually simple, of the quasilinear system of partial differential …
[图书][B] Polarization and moment tensors: with applications to inverse problems and effective medium theory
This book presents important recent developments in mathematical and computational
methods used in impedance imaging and the theory of composite materials. By augmenting …
methods used in impedance imaging and the theory of composite materials. By augmenting …
[图书][B] Layer potential techniques in spectral analysis
Since the early part of the twentieth century, the use of integral equations has developed into
a range of tools for the study of partial differential equations. This includes the use of single …
a range of tools for the study of partial differential equations. This includes the use of single …
[图书][B] Mathematical and computational methods in photonics and phononics
The fields of photonics and phononics encompass the fundamental science of light and
sound propagation and interactions in complex structures, as well as its technological …
sound propagation and interactions in complex structures, as well as its technological …
Lattice sums for the Helmholtz equation
CM Linton - SIAM review, 2010 - SIAM
A survey of different representations for lattice sums for the Helmholtz equation is made.
These sums arise naturally when dealing with wave scattering by periodic structures. One of …
These sums arise naturally when dealing with wave scattering by periodic structures. One of …
An adaptive fast solver for the modified Helmholtz equation in two dimensions
H Cheng, J Huang, TJ Leiterman - Journal of Computational Physics, 2006 - Elsevier
In this paper, we present a fast multipole-accelerated integral equation method for solving
the modified Helmholtz equation Δu (x→)-β2u (x→)= f (x→) in two dimensions. The method …
the modified Helmholtz equation Δu (x→)-β2u (x→)= f (x→) in two dimensions. The method …
A new integral representation for quasi-periodic scattering problems in two dimensions
A Barnett, L Greengard - BIT Numerical mathematics, 2011 - Springer
Boundary integral equations are an important class of methods for acoustic and
electromagnetic scattering from periodic arrays of obstacles. For piecewise homogeneous …
electromagnetic scattering from periodic arrays of obstacles. For piecewise homogeneous …
Unified lattice sums accommodating multiple sublattices for solutions of the Helmholtz equation in two and three dimensions
The evaluation of the interaction between objects arranged on a lattice requires the
computation of lattice sums. A scenario frequently encountered involves systems governed …
computation of lattice sums. A scenario frequently encountered involves systems governed …
A new integral representation for quasi-periodic fields and its application to two-dimensional band structure calculations
A Barnett, L Greengard - Journal of Computational Physics, 2010 - Elsevier
In this paper, we consider band structure calculations governed by the Helmholtz or Maxwell
equations in piecewise homogeneous periodic materials. Methods based on boundary …
equations in piecewise homogeneous periodic materials. Methods based on boundary …
Rapidly convergent two-dimensional quasi-periodic Green function throughout the spectrum—including Wood anomalies
OP Bruno, B Delourme - Journal of Computational Physics, 2014 - Elsevier
We introduce a new methodology, based on new quasi-periodic Green functions which
converge rapidly even at and around Wood-anomaly configurations, for the numerical …
converge rapidly even at and around Wood-anomaly configurations, for the numerical …