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Journal of Scientific Computing

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01-12-2014

Spectral Element Method for Mixed Inhomogeneous Boundary Value Problems of Fourth Order

Authors: Xu-Hong Yu, Ben-Yu Guo

Published in: Journal of Scientific Computing | Issue 3/2014

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Abstract

In this paper, we investigate spectral element method for fourth order problems with mixed inhomogeneous boundary conditions. Some results on the composite Legendre quasi-orthogonal approximation are established, which play important roles in spectral element method with non-uniform meshes and non-uniform approximation modes. As an example of applications, the spectral element scheme is provided for a model problem, with the convergence analysis. Numerical results demonstrate its spectral accuracy, and coincide with the analysis well. In particular, the suggested method is convenient for local mesh refinement and local mode increment, and so it works well even for the solutions changing rapidly, oscillating seriously, or behaving differently in different subdomains.

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Title: Spectral Element Method for Mixed Inhomogeneous Boundary Value Problems of Fourth Order
Authors: Xu-Hong Yu
Ben-Yu Guo
Publication date: 01-12-2014
Publisher: Springer US
Published in: Journal of Scientific Computing / Issue 3/2014
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-014-9844-y

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