EULERIAN FINITE ELEMENT METHODS FOR PARABOLIC EQUATIONS ON MOVING SURFACES

被引：16

作者：

Grande, Joerg ^{[1
]}

机构：

[1] Rhein Westfal TH Aachen, Inst Geometrie & Prakt Math, D-52056 Aachen, Germany

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2014年 / 36卷 / 02期

关键词：

finite elements; evolving surface; parabolic PDE; space-time; two-phase flow; surfactant; computations; PARTIAL-DIFFERENTIAL-EQUATIONS; INTERFACIAL FLOWS; DIFFUSION; TRANSPORT;

D O I：

10.1137/130920095

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Three new Eulerian finite element methods for parabolic PDEs on a moving surface Gamma(t) are presented and compared in numerical experiments. These are space-time Galerkin methods, which are derived from a weak formulation in space and time. The trial- and test-spaces contain the traces on the space-time manifold of an outer prismatic finite element space. The numerical experiments show that two of the methods converge with second order with respect to both the time step size and the spatial mesh width.

引用

页码：B248 / B271

页数：24

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