An Adaptive Wavelet Method for Semi-Linear First-Order System Least Squares
2015 ◽
Vol 15
(4)
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pp. 439-463
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AbstractWe design an adaptive wavelet scheme for solving first-order system least-squares formulations of second-order elliptic PDEs that converge with the best possible rate in linear complexity. A wavelet Riesz basis is constructed for the space $\vec{H}_{0,\Gamma _N}(\operatorname{div};\Omega )$ on general polygons. The theoretical findings are illustrated by numerical experiments.
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2009 ◽
Vol 30
(3)
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pp. 423-455
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2015 ◽
Vol 06
(01)
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pp. 1450001
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2006 ◽
Vol 195
(37-40)
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pp. 4962-4970
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2010 ◽
Vol 32
(3)
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pp. 1506-1526
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2013 ◽
Vol 51
(4)
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pp. 2214-2237
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2002 ◽
Vol 40
(1)
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pp. 307-318
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