期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 79, 期 7, 页码 2021-2034出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2019.09.022
关键词
Virtual Element method; Polytopal mesh; Polyharmonic problem; High-order methods
资金
- SIR Starting grant - MIUR [RBSI14VTOS]
- INdAM-GNCS
- Laboratory Directed Research and Development Program (LDRD), U.S. Department of Energy Office of Science, Office of Fusion Energy Sciences
- DOE Office of Science Advanced Scientific Computing Research (ASCR) Program in Applied Mathematics Research
- National Nuclear Security Administration of the U.S. Department of Energy by Los Alamos National Laboratory [DE-AC52-06NA25396]
In this work, we exploit the capability of virtual element methods in accommodating approximation spaces featuring high-order continuity to numerically approximate differential problems of the form (-Delta)(p)u = f, p >= 1. More specifically, we develop and analyze the conforming virtual element method for the numerical approximation of polyharmonic boundary value problems, and prove an abstract result that states the convergence of the method in suitable norms. (C) 2019 Elsevier Ltd. All rights reserved.
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