Accuracy Raising Technique for Multivariate Spline Quasi-Interpolants over Type-2 Triangulations
Accuracy Raising Technique for Multivariate Spline Quasi-Interpolants over Type-2 Triangulations
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发表时间：
2022
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通讯作者：
Qinjiao Gao
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作者：
Shenggang Zhang;Chungang Zhu;Qinjiao Gao
Given a multivariate quasi-interpolation operator with the partition of unity property, we propose a method to raise the accuracy with simple knots. The resulting operators possess higher accuracy while not requiring any derivative information of the underlying function. On that basis, we improve the multivariate spline quasi-interpolants with higher accuracy over type-2 triangulations. Moreover, we apply the improved quasi-interpolants to simulate time developing partial differential equations (PDEs). The numerical experiments verify the efficiency of the proposed methods.
