A mixed finite element discretisation of linear and nonlinear multivariate splines using the Laplacian penalty based on biorthogonal systems
We consider a mixed finite element method for a linear multivariate spline using the Laplacian penalty. Our discretisation is based on biorthogonal systems leading to a very simple and efficient finite element scheme. We also extend our approach to a nonlinear case and describe a split Bregman itera...
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Format: | Article |
Language: | English |
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Elsevier
2023-01-01
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Series: | MethodsX |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S2215016122003363 |