Weak Galerkin Finite Element Methods for Parabolic Equations

Abstract

A newly developed weak Galerkin method is proposed to solve parabolic equations. This method allows the usage of totally discontinuous functions in approximation space and preserves the energy conservation law. Both continuous and discontinuous time weak Galerkin finite element schemes are developed and analyzed. Optimal order error estimates in both H^1 and L^2 norms are established. Numerical tests are performed and reported.

18 pages, 6 tables with computational results

References in corpus (2)

• A Computational Study of the Weak Galerkin Method for Second-Order Elliptic Equations
• A Weak Galerkin Finite Element Method for Second-Order Elliptic Problems