# Theoretical and numerical study of a free boundary problem by boundary integral methods

Michel Crouzeix; Philippe Féat; Francisco-Javier Sayas

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 35, Issue: 6, page 1137-1158
- ISSN: 0764-583X

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topCrouzeix, Michel, Féat, Philippe, and Sayas, Francisco-Javier. "Theoretical and numerical study of a free boundary problem by boundary integral methods." ESAIM: Mathematical Modelling and Numerical Analysis 35.6 (2010): 1137-1158. <http://eudml.org/doc/197491>.

@article{Crouzeix2010,

abstract = {
In this paper we study a free boundary problem appearing in
electromagnetism and its numerical approximation by means of
boundary integral methods. Once the problem is written in a
equivalent integro-differential form, with the arc
parametrization of the boundary as unknown, we analyse it in
this new setting. Then we consider Galerkin and collocation
methods with trigonometric polynomial and spline curves as
approximate solutions.
},

author = {Crouzeix, Michel, Féat, Philippe, Sayas, Francisco-Javier},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Free boundary; spline; trigonometric polynomial.; electromagnetic shaping; boundary integral methods; collocation methods with trigonometric polynomial and spline curves},

language = {eng},

month = {3},

number = {6},

pages = {1137-1158},

publisher = {EDP Sciences},

title = {Theoretical and numerical study of a free boundary problem by boundary integral methods},

url = {http://eudml.org/doc/197491},

volume = {35},

year = {2010},

}

TY - JOUR

AU - Crouzeix, Michel

AU - Féat, Philippe

AU - Sayas, Francisco-Javier

TI - Theoretical and numerical study of a free boundary problem by boundary integral methods

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 35

IS - 6

SP - 1137

EP - 1158

AB -
In this paper we study a free boundary problem appearing in
electromagnetism and its numerical approximation by means of
boundary integral methods. Once the problem is written in a
equivalent integro-differential form, with the arc
parametrization of the boundary as unknown, we analyse it in
this new setting. Then we consider Galerkin and collocation
methods with trigonometric polynomial and spline curves as
approximate solutions.

LA - eng

KW - Free boundary; spline; trigonometric polynomial.; electromagnetic shaping; boundary integral methods; collocation methods with trigonometric polynomial and spline curves

UR - http://eudml.org/doc/197491

ER -

## References

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