Abstract
Numerical solutions of nonlinear partial differential equations (PDEs) are important in applications. Historically, such work is done primarily by the finite differencemethods (FDM) and finite elementmethods (FEM).We note a few of such papers containing FDMand FEM numerical analysis of semilinear and quasilinear elliptic BVPs: Bers [17], Parter [155], Greenspan and Parter [83], for FDM; Ciarlet, Schultz and Varga [50], Dupont and Douglas [67], Brenner and Scott [28], for FEM.
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© 2010 Atlantis Press/World Scientific
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Chen, G., Chen, G., Zhou, J. (2010). Boundary Element Methods for Semilinear Elliptic Partial Differential Equations (I): The Monotone Iteration Scheme and Error Estimates. 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_11
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DOI: https://doi.org/10.2991/978-94-91216-27-5_11
Publisher Name: Atlantis Press
Online ISBN: 978-94-91216-27-5
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