434 citations
- Hunan UniversityCN8 papers
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4 papers · 1 filter
Symmetry-preserving finite element schemes: An introductory investigation
Alexander Bihlo, Francis Valiquette
Using the method of equivariant moving frames, we present a procedure for constructing symmetry-preserving finite element methods for second-order ordinary differential equations.…
Symmetry-preserving numerical schemes
Alexander Bihlo, Francis Valiquette
In these lectures we review two procedures for constructing finite difference numerical schemes that preserve symmetries of differential equations. The first approach is based on L…
Invariant Discretization of Partial Differential Equations Admitting Infinite-Dimensional Symmetry Groups
Raphael Rebelo, Francis Valiquette
Given a differential equation with infinite-dimensional symmetry pseudo-group it is shown, using an example, that it is generally not possible to construct enough joint invariants…
Upscaling of Nonlinear Forchheimer Flows
Eugenio Aulisa, Lidia Bloshanskaya, Yalchin Efendiev +1
In this work we propose upscaling method for nonlinear Forchheimer flow in highly heterogeneous porous media. The generalized Forchheimer law is considered for incompressible and s…