Water wave problems using null-field boundary integral equations: ill-posedness and remedies

DOI10.1080/00036811.2011.596480zbMath1241.76085OpenAlexW1990562439WikidataQ58252691 ScholiaQ58252691MaRDI QIDQ2883306

Jia-Wei Lee, Jeng-Tzong Chen

Publication date: 11 May 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.596480

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Surface waves in solid mechanics (74J15) Lamé, Mathieu, and spheroidal wave functions (33E10) Linear integral equations (45A05) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20) Fictitious domain methods for boundary value problems involving PDEs (65N85)

Related Items

The method of fundamental solutions for the scattering problem of an open cavity, On near-trapped modes and fictitious frequencies for water wave problems containing an array of circular cylinders using a null-field boundary integral equation, Green’s Function Problem of Laplace Equation with Spherical and Prolate Spheroidal Boundaries by Using the Null-Field Boundary Integral Equation, Null-field BIEM for solving a scattering problem from a point source to a two-layer prolate spheroid, Study on harbor resonance and focusing by using the null-field BIEM, On physical and numerical resonances for water wave problems using the dual boundary element method

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