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On the numerical solution of a boundary integral equation for the exterior Neumann problem on domains with corners
Institution:1. Department of Mathematics and Computer Science, University of Cagliari, Viale Merello 92, 09123 Cagliari, Italy;2. Department of Mathematics, Computer Science and Economics, University of Basilicata, Via dell''Ateneo Lucano 10, 85100 Potenza, Italy;1. Department of Civil Engineering, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei 10617, Taiwan;2. Department of Harbor and River Engineering, National Taiwan Ocean University, No. 2, Pei-Ning Road, Keelung 20224, Taiwan;3. Department of Systems Engineering and Naval Architecture, National Taiwan Ocean University, No. 2, Pei-Ning Road, Keelung 20224, Taiwan;1. Center for Numerical Simulation Software in Engineering and Sciences, College of Mechanics and Materials, Hohai University, Nanjing, Jiangsu 210098, China;2. Department of Civil Engineering, National Taiwan University, Taipei 106-17, Taiwan;1. School of Aeronautic Science and Engineering, Beihang University, China;2. Center for Aerospace Research & Education, University of California, Irvine, USA;3. Department of Mathematics, King Abdulaziz University, Jeddah;4. Department of Engineering Mechanics, Hohai Uniersity, China;1. School of Aerospace Engineering, Tsinghua University, Beijing 100084, China;2. China Academy of Space Technology, Beijing 100094, China
Abstract:The authors propose a “modified” Nyström method to approximate the solution of a boundary integral equation connected with the exterior Neumann problem for Laplace's equation on planar domains with corners. They prove the convergence and the stability of the method and show some numerical tests.
Keywords:Boundary integral equations  Neumann problem  Nyström method
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