期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 272, 期 -, 页码 198-213出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2013.12.015
关键词
Conservation equations; Parabolic regularization; Upwinding; First-order viscosity; Entropy solutions
资金
- National Science Foundation [DMS-1015984, DMS-1217262]
- Air Force Office of Scientific Research, USAF [FA9550-09-1-0424, FA99550-12-0358]
- King Abdullah University of Science and Technology (KAUST [KUS-C1-016-04]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1217262] Funding Source: National Science Foundation
This paper introduces a first-order viscosity method for the explicit approximation of scalar conservation equations with Lipschitz fluxes using continuous finite elements on arbitrary grids in any space dimension. Provided the lumped mass matrix is positive definite, the method is shown to satisfy the local maximum principle under a usual CFL condition. The method is independent of the cell type; for instance, the mesh can be a combination of tetrahedra, hexahedra, and prisms in three space dimensions. (C) 2014 Elsevier B.V. All rights reserved.
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