A correction technique for the dispersive effects of mass lumping for transport problems

被引：38

作者：

Guermond, Jean-Luc ^{[1
]}

Pasquetti, Richard ^{[2
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[2] Univ Nice Sophia Antipolis, Lab JA Dieudonne, CNRS, UMR 7351, F-06108 Nice, France

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2013年 / 253卷

基金：

美国国家科学基金会;

关键词：

Finite elements; Transport equation; Mass lumping; Dispersion; ADVECTION-DIFFUSION EQUATION; GENERALIZED FOURIER ANALYSES; FINITE-ELEMENTS; APPROXIMATIONS; STABILIZATION; SCHEMES; MATRIX;

D O I：

10.1016/j.cma.2012.08.011

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper addresses the well-known dispersion effect that mass lumping induces when solving transport-like equations. A simple anti-dispersion technique based on the lumped mass matrix is proposed. The method does not require any non-trivial matrix inversion and has the same anti-dispersive effects as the consistent mass matrix. A novel quasi-lumping technique for P-2 finite elements is introduced. Higher-order extensions of the method are also discussed. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：186 / 198

页数：13

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