An improved r-adaptive Galerkin boundary element method based on unbalanced Haar wavelets |
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Authors: | Tao Wang Yanchuang Cao Jinyou Xiao Duo Zhang |
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Institution: | (2) Department of Mathematics, The University of Georgia, Athens, USA; |
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Abstract: | An r-adaptive boundary element method (BEM) based on unbalanced Haar wavelets (UBHWs) is developed for solving 2D Laplace
equations in which the Galerkin method is used to discretize boundary integral equations. To accelerate the convergence of
the adaptive process, the grading function and optimization iteration methods are successively employed. Numerical results
of two representative examples clearly show that, first, the combined iteration method can accelerate the convergence; moreover,
by using UBHWs, the memory usage for storing the system matrix of the r-adaptive BEM can be reduced by a factor of about 100
for problems with more than 15 thousand unknowns, while the error and convergence property of the original BEM can be retained. |
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Keywords: | |
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