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Some Error Estimates for Numerical Solutions of Boundary Integral Equations

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Book cover Boundary Element Methods with Applications to Nonlinear Problems

Part of the book series: Atlantis Studies in Mathematics for Engineering and Science ((ASMES,volume 7))

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Abstract

Boundary integral equations can be numerically approximated by various methods. Let

$$Au(x) = g(x),\quad x\in\partial\Omega$$
(10.1)

be a boundary integral equation on the boundary ∂Ω of a domain Ω. Let {Vh}h be a family of finite-element spaces on ∂Ω. We can think of the Galerkin method for approximating (10.1).

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Authors and Affiliations

  1. Mathematics and Aerospace Engineering, Texas A&M University, College Station, Texas, 77843, USA

    Goong Chen (Professor)

  2. Mathematics and Aerospace Engineering, Texas A&M University, Taipei, Taiwan, Republic of China

    Goong Chen (Distinguished Professor)

  3. Mathematics Texas A&M University, College Station, Texas, 77843, USA

    Jianxin Zhou (Professor of Mathematics)

Authors
  1. Goong Chen
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  2. Goong Chen
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  3. Jianxin Zhou
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© 2010 Atlantis Press/World Scientific

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Chen, G., Chen, G., Zhou, J. (2010). Some Error Estimates for Numerical Solutions of Boundary Integral Equations. In: Boundary Element Methods with Applications to Nonlinear Problems. Atlantis Studies in Mathematics for Engineering and Science, vol 7. Atlantis Press. https://doi.org/10.2991/978-94-91216-27-5_10

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