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

DOI10.1051/m2an:2001151zbMath0985.35114OpenAlexW1996162637MaRDI QIDQ2781524

Michel Crouzeix, Francisco-Javier Sayas, Philippe Féat

Publication date: 20 March 2002

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2001__35_6_1137_0

zbMATH Keywords

boundary integral methodselectromagnetic shapingcollocation methods with trigonometric polynomial and spline curves

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Trigonometric approximation (42A10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35) Spline approximation (41A15) Singular nonlinear integral equations (45G05) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (7)

Wavelet-based boundary element methods for exterior electromagnetic shaping ⋮ Spectrum and stability analysis for a transmission problem in thermoelasticity with a concentrated mass ⋮ Boundary element simulation of thermal waves ⋮ Transmission problem in thermoelasticity ⋮ Fast wavelet BEM for 3d electromagnetic shaping ⋮ Boundary element simulation of thermal waves ⋮ Exponential stability of a network of beams

Cites Work

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• Quadrature Methods for Strongly Elliptic Equations of Negative Order on Smooth Closed Curves
• Numerical Approximation of a Free Boundary Problem Arising in Electromagnetic Shaping
• Linear integral equations

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