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1

Integral Equation Methods and Numerical Solutions of Crack and Inclusion Problems in Planar Elastostatics

Johan Helsing and Gunnar Peters

Journal:

SIAM Journal on Applied Mathematics

Année:

1998-1999

Langue:

english

Fichier:

PDF, 479 KB

english, 1998-1999

2

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

Johan Helsing, Rikard Ojala

Journal:

Journal of Computational Physics

Année:

2008

Langue:

english

Fichier:

PDF, 871 KB

english, 2008

3

Integral Equation Methods and Numerical Solutions of Crack and Inclusion Problems in Planar Elastostatics

Peters, Gunnar, Helsing, Johan

Journal:

SIAM Journal on Applied Mathematics

Année:

1998

Langue:

english

Fichier:

PDF, 399 KB

english, 1998

4

Poisson’s ratio of fiber-reinforced composites

Christiansson, Henrik, Helsing, Johan

Journal:

Journal of Applied Physics

Année:

1996

Langue:

english

Fichier:

PDF, 328 KB

english, 1996

5

Corner Effects on the Perturbation of an Electric Potential

Choi, Doo Sung, Helsing, Johan, Lim, Mikyoung

Journal:

SIAM Journal on Applied Mathematics

Année:

2018

Langue:

english

Fichier:

PDF, 676 KB

english, 2018

6

Evaluation of the mode I stress intensity factor for a square crack in 3D

Johan Helsing, Anders Jonsson, Gunnar Peters

Journal:

Engineering Fracture Mechanics

Année:

2001

Langue:

english

Fichier:

PDF, 3.53 MB

english, 2001

7

Stress intensity factors for a crack in front of an inclusion

Journal:

Engineering Fracture Mechanics

Année:

1999

Langue:

english

Fichier:

PDF, 150 KB

english, 1999

8

On the evaluation of layer potentials close to their sources

Johan Helsing, Rikard Ojala

Journal:

Journal of Computational Physics

Année:

2008

Langue:

english

Fichier:

PDF, 1.23 MB

english, 2008

9

An Efficient Numerical Algorithm for Cracks Partly in Frictionless Contact

Peters, Gunnar, Helsing, Johan

Journal:

SIAM Journal on Applied Mathematics

Année:

2000

Langue:

english

Fichier:

PDF, 189 KB

english, 2000

10

An Efficient Numerical Algorithm for Cracks Partly in Frictionless Contact

Johan Helsing and Gunnar Peters

Journal:

SIAM Journal on Applied Mathematics

Année:

2000

Langue:

english

Fichier:

PDF, 369 KB

english, 2000

11

Conduction in inhomogeneous materials: Hot and high-field spots

Helsing, Johan, Axell, Jörgen, Grimvall, Göran

Journal:

Physical Review B

Année:

1989

Langue:

english

Fichier:

PDF, 261 KB

english, 1989

12

On a Helmholtz transmission problem in planar domains with corners

Helsing, Johan, Karlsson, Anders

Journal:

Journal of Computational Physics

Année:

2018

Langue:

english

Fichier:

PDF, 2.44 MB

english, 2018

13

An Extended Charge-Current Formulation of the Electromagnetic Transmission Problem

Helsing, Johan, Karlsson, Anders

Journal:

SIAM Journal on Applied Mathematics

Année:

2020

Fichier:

PDF, 2.52 MB

2020

14

On the numerical evaluation of stress intensity factors for an interface crack of a general shape

Journal:

International Journal for Numerical Methods in Engineering

Année:

1999

Langue:

english

Fichier:

PDF, 107 KB

english, 1999

15

Corner singularities for elliptic problems: special basis functions versus ‘brute force’

Journal:

International Journal for Numerical Methods in Biomedical Engineering

Année:

2000

Langue:

english

Fichier:

PDF, 88 KB

english, 2000

16

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

Johan Helsing, Anders Jonsson

Journal:

International Journal for Numerical Methods in Engineering

Année:

2002

Langue:

english

Fichier:

PDF, 236 KB

english, 2002

17

Estimating Effective Properties of Composites from Cross-Sectional Photographs

Journal:

Journal of Computational Physics

Année:

1995

Fichier:

PDF, 364 KB

1995

18

Thin Bridges in Isotropic Electrostatics

Journal:

Journal of Computational Physics

Année:

1996

Langue:

english

Fichier:

PDF, 311 KB

english, 1996

19

Stress Calculations on Multiply Connected Domains

Johan Helsing, Anders Jonsson

Journal:

Journal of Computational Physics

Année:

2002

Langue:

english

Fichier:

PDF, 297 KB

english, 2002

20

Bounds on the shear modulus of composites by interface integral methods

Journal:

Journal of the Mechanics and Physics of Solids

Année:

1994

Langue:

english

Fichier:

PDF, 826 KB

english, 1994

21

An integral equation method for elastostatics of periodic composites

Journal:

Journal of the Mechanics and Physics of Solids

Année:

1995

Langue:

english

Fichier:

PDF, 794 KB

english, 1995

22

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

Johan Helsing, Rikard Ojala

Journal:

International Journal of Solids and Structures

Année:

2009

Langue:

english

Fichier:

PDF, 1015 KB

english, 2009

23

Faster convergence and higher accuracy for the Dirichlet–Neumann map

Journal:

Journal of Computational Physics

Année:

2009

Langue:

english

Fichier:

PDF, 359 KB

english, 2009

24

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

Journal:

Journal of Computational Physics

Année:

2009

Langue:

english

Fichier:

PDF, 673 KB

english, 2009

25

On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites

Leslie Greengard, Johan Helsing

Journal:

Journal of the Mechanics and Physics of Solids

Année:

1998

Langue:

english

Fichier:

PDF, 699 KB

english, 1998

26

Stress computations on perforated polygonal domains

Jonas Englund, Johan Helsing

Journal:

Engineering Analysis with Boundary Elements

Année:

2003

Langue:

english

Fichier:

PDF, 407 KB

english, 2003

27

A Comparison of Splittings and Integral Equation Solvers for a Nonseparable Elliptic Equation

Jonas Englund, Johan Helsing

Journal:

BIT Numerical Mathematics

Année:

2004

Langue:

english

Fichier:

PDF, 669 KB

english, 2004

28

Approximate Inverse Preconditioners for Some Large Dense Random Electrostatic Interaction Matrices

Journal:

BIT Numerical Mathematics

Année:

2006

Langue:

english

Fichier:

PDF, 2.01 MB

english, 2006

29

Joule heat distribution in inhomogeneous materials

Jörgen Axell, Johan Helsing, Göran Grimvall

Journal:

Physica A: Statistical Mechanics and its Applications

Année:

1989

Langue:

english

Fichier:

PDF, 36 KB

english, 1989

30

Laplace’s equation and the Dirichlet–Neumann map: a new mode for Mikhlin’s method

Johan Helsing, Eddie Wadbro

Journal:

Journal of Computational Physics

Année:

2005

Langue:

english

Fichier:

PDF, 770 KB

english, 2005

31

The effective conductivity of random checkerboards

Journal:

Journal of Computational Physics

Année:

2011

Langue:

english

Fichier:

PDF, 590 KB

english, 2011

32

Some computational aspects of iterated structures

Johan Byström, Johan Helsing, Annette Meidell

Journal:

Composites Part B: Engineering

Année:

2001

Langue:

english

Fichier:

PDF, 248 KB

english, 2001

33

Fast and accurate numerical solution to an elastostatic problem involving ten thousand randomly oriented cracks

Journal:

International Journal of Fracture

Année:

2000

Langue:

english

Fichier:

PDF, 101 KB

english, 2000

34

A High-Order Accurate Algorithm for Electrostatics of Overlapping Disks

Journal:

Journal of Statistical Physics

Année:

1998

Langue:

english

Fichier:

PDF, 678 KB

english, 1998

35

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

Journal:

Journal of Computational Physics

Année:

2011

Langue:

english

Fichier:

PDF, 1.05 MB

english, 2011

36

Stability of the Nyström Method for the Sherman–Lauricella Equation

Didenko, Victor D., Helsing, Johan

Journal:

SIAM Journal on Numerical Analysis

Année:

2011

Langue:

english

Fichier:

PDF, 742 KB

english, 2011

37

A Fast and Stable Solver for Singular Integral Equations on Piecewise Smooth Curves

Journal:

SIAM Journal on Scientific Computing

Année:

2011

Langue:

english

Fichier:

PDF, 331 KB

english, 2011

38

Effective conductivity of aggregates of anisotropic grains

Helsing, Johan, Helte, Andreas

Journal:

Journal of Applied Physics

Année:

1991

Langue:

english

Fichier:

PDF, 984 KB

english, 1991

39

Conductance in random inductance-capacitance networks

Helsing, Johan, Grimvall, Göran

Journal:

Physical Review B

Année:

1990

Langue:

english

Fichier:

PDF, 247 KB

english, 1990

40

On the polarizability and capacitance of the cube

Helsing, Johan, Perfekt, Karl-Mikael

Journal:

Applied and Computational Harmonic Analysis

Année:

2013

Langue:

english

Fichier:

PDF, 732 KB

english, 2013

41

An explicit kernel-split panel-based Nyström scheme for integral equations on axially symmetric surfaces

Helsing, Johan, Karlsson, Anders

Journal:

Journal of Computational Physics

Année:

2014

Langue:

english

Fichier:

PDF, 1.09 MB

english, 2014

42

Higher-Order Bounds on the Conductivity of Composites from Symmetry Considerations

Journal:

Proceedings of the Royal Society Mathematical and Physical Sciences (1990-1995)

Année:

1993

Langue:

english

Fichier:

PDF, 147 KB

english, 1993

43

Fast and Accurate Calculations of Structural Parameters for Suspensions

Journal:

Proceedings of the Royal Society Mathematical and Physical Sciences (1990-1995)

Année:

1994

Langue:

english

Fichier:

PDF, 373 KB

english, 1994

44

Improved Bounds on the Conductivity of Composites by Interpolation

Journal:

Proceedings of the Royal Society Mathematical and Physical Sciences (1990-1995)

Année:

1994

Langue:

english

Fichier:

PDF, 303 KB

english, 1994

45

An Integral Equation Method for Electrostatics of Anisotropic Composites

Journal:

Proceedings of the Royal Society Mathematical and Physical Sciences (1990-1995)

Année:

1995

Langue:

english

Fichier:

PDF, 204 KB

english, 1995

46

Fast reconstruction of harmonic functions from Cauchy data using integral equation techniques

Helsing, Johan, Johansson, B. Tomas

Journal:

Inverse Problems in Science and Engineering

Année:

2010

Langue:

english

Fichier:

PDF, 485 KB

english, 2010

47

An Accurate Boundary Value Problem Solver Applied to Scattering From Cylinders With Corners

Helsing, Johan, Karlsson, Anders

Journal:

IEEE Transactions on Antennas and Propagation

Année:

2013

Langue:

english

Fichier:

PDF, 1.81 MB

english, 2013

48

On the Stability of the Nyström Method for the Muskhelishvili Equation on Contours with Corners

Didenko, Victor D., Helsing, Johan

Journal:

SIAM Journal on Numerical Analysis

Année:

2013

Langue:

english

Fichier:

PDF, 581 KB

english, 2013

49

A numerical study of the ζ2 parameter for random suspensions of disks

Greengard, Leslie, Helsing, Johan

Journal:

Journal of Applied Physics

Année:

1995

Langue:

english

Fichier:

PDF, 824 KB

english, 1995

50

Improved bounds on the conductivity of composites by translation in a variational principle

Journal:

Journal of Applied Physics

Année:

1993

Langue:

english

Fichier:

PDF, 583 KB

english, 1993