A fully discrete \(H^1\)-Galerkin method with quadrature for nonlinear advection-diffusion-reaction equations (Q877271)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A fully discrete \(H^1\)-Galerkin method with quadrature for nonlinear advection-diffusion-reaction equations |
scientific article; zbMATH DE number 5145105
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fully discrete \(H^1\)-Galerkin method with quadrature for nonlinear advection-diffusion-reaction equations |
scientific article; zbMATH DE number 5145105 |
Statements
A fully discrete \(H^1\)-Galerkin method with quadrature for nonlinear advection-diffusion-reaction equations (English)
0 references
19 April 2007
0 references
The authors propose and analyse a fully discrete \(H^1\)-Galerkin method with quadrature for nonlinear parabolic advection-diffusion-reaction equations that requires only linear algebraic solvers. The scheme applied to the special case heat equation is a fully discrete quadrature version of the least-squares method. The second order convergence and optimal \(H^1\) optimal convergence in space are proved. Numerical experiments that demonstrate optimal order convergence are presented.
0 references
advection-diffusion-reaction equations
0 references
parabolic equations
0 references
Galerkin method
0 references
quadrature
0 references
nonlinear parabolic advection-diffusion-reaction equations
0 references
heat equation
0 references
least-squares method
0 references
convergence
0 references
numerical experiments
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
