4.1 Article

Solving Integral Equations on Piecewise Smooth Boundaries Using the RCIP Method: A Tutorial

Related references

Note: Only part of the references are listed.
Article Mathematics, Applied

On the polarizability and capacitance of the cube

Johan Helsing et al.

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS (2013)

Article Mathematics, Applied

On the Nystrom discretization of integral equations on planar curves with corners

James Bremer

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS (2012)

Article Engineering, Multidisciplinary

Regularized integral equations and fast high-order solvers for sound-hard acoustic scattering problems

Oscar Bruno et al.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2012)

Article Computer Science, Interdisciplinary Applications

A fast direct solver for the integral equations of scattering theory on planar curves with corners

James Bremer

JOURNAL OF COMPUTATIONAL PHYSICS (2012)

Article Mathematics, Applied

An adaptive fast direct solver for boundary integral equations in two dimensions

Wai Yip Kong et al.

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS (2011)

Article Computer Science, Interdisciplinary Applications

The effective conductivity of arrays of squares: Large random unit cells and extreme contrast ratios

Johan Helsing

JOURNAL OF COMPUTATIONAL PHYSICS (2011)

Article Computer Science, Interdisciplinary Applications

The effective conductivity of random checkerboards

Johan Helsing

JOURNAL OF COMPUTATIONAL PHYSICS (2011)

Article Mathematics, Applied

A FAST AND STABLE SOLVER FOR SINGULAR INTEGRAL EQUATIONS ON PIECEWISE SMOOTH CURVES

Johan Helsing

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2011)

Article Computer Science, Interdisciplinary Applications

Efficient discretization of Laplace boundary integral equations on polygonal domains

James Bremer et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2010)

Article Computer Science, Interdisciplinary Applications

Universal quadratures for boundary integral equations on two-dimensional domains with corners

James Bremer et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2010)

Article Mathematics, Applied

A NONLINEAR OPTIMIZATION PROCEDURE FOR GENERALIZED GAUSSIAN QUADRATURES

James Bremer et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2010)

Article Computer Science, Theory & Methods

A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains

Oscar P. Bruno et al.

COMPUTING (2009)

Article Mechanics

Elastostatic computations on aggregates of grains with sharp interfaces, corners, and triple-junctions

Johan Helsing et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2009)

Article Computer Science, Interdisciplinary Applications

Integral equation methods for elliptic problems with boundary conditions of mixed type

Johan Helsing

JOURNAL OF COMPUTATIONAL PHYSICS (2009)

Article Computer Science, Interdisciplinary Applications

On the evaluation of layer potentials close to their sources

Johan Helsing et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2008)

Article Computer Science, Interdisciplinary Applications

Corner singularities for elliptic problems: Integral equations, graded meshes, quadrature, and compressed inverse preconditioning

Johan Helsing et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2008)

Article Engineering, Multidisciplinary

A higher order scheme for two-dimensional quasi-static crack growth simulations

Jonas Englund

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2007)

Article Engineering, Multidisciplinary

On the computation of stress fields on polygonal domains with V-notches

J Helsing et al.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2002)