Recent advances and emerging applications of the boundary element method
YJ Liu, S Mukherjee… - Applied …, 2011 - asmedigitalcollection.asme.org
Sponsored by the US National Science Foundation, a workshop on the boundary element
method (BEM) was held on the campus of the University of Akron during September 1–3 …
method (BEM) was held on the campus of the University of Akron during September 1–3 …
Electromagnetic integral equations: Insights in conditioning and preconditioning
Integral equation formulations are a competitive strategy in computational electromagnetics
but, lamentably, are often plagued by ill-conditioning and by related numerical instabilities …
but, lamentably, are often plagued by ill-conditioning and by related numerical instabilities …
Mimetic finite difference method
The mimetic finite difference (MFD) method mimics fundamental properties of mathematical
and physical systems including conservation laws, symmetry and positivity of solutions …
and physical systems including conservation laws, symmetry and positivity of solutions …
[BOOK][B] The mimetic finite difference method for elliptic problems
This book describes the theoretical and computational aspects of the mimetic finite
difference method for a wide class of multidimensional elliptic problems, which includes …
difference method for a wide class of multidimensional elliptic problems, which includes …
A multiplicative Calderon preconditioner for the electric field integral equation
In this paper, a new technique for preconditioning electric field integral equations (EFIEs) by
leveraging CalderÓn identities is presented. In contrast to all previous CalderÓn …
leveraging CalderÓn identities is presented. In contrast to all previous CalderÓn …
Bempp-cl: A fast Python based just-in-time compiling boundary element library
The boundary element method (BEM) is a numerical method for approximating the solution
of certain types of partial differential equations (PDEs) in homogeneous bounded or …
of certain types of partial differential equations (PDEs) in homogeneous bounded or …
Topics in structure-preserving discretization
In the last few decades the concepts of structure-preserving discretization, geometric
integration and compatible discretizations have emerged as subfields in the numerical …
integration and compatible discretizations have emerged as subfields in the numerical …
Isogeometric methods for computational electromagnetics: B-spline and T-spline discretizations
In this paper we introduce methods for electromagnetic wave propagation, based on splines
and on T-splines. We define spline spaces which form a De Rham complex and following …
and on T-splines. We define spline spaces which form a De Rham complex and following …
Operator preconditioning
R Hiptmair - Computers & Mathematics with Applications, 2006 - Elsevier
Operator preconditioning offers a general recipe for constructing preconditioners for discrete
linear operators that have arisen from a Galerkin approach. The key idea is to employ …
linear operators that have arisen from a Galerkin approach. The key idea is to employ …
On a well-conditioned electric field integral operator for multiply connected geometries
All known integral equation techniques for simulating scattering and radiation from arbitrarily
shaped, perfect electrically conducting objects suffer from one or more of the following …
shaped, perfect electrically conducting objects suffer from one or more of the following …