A four-field Galerkin formulation with two boundary trace corrections is introduced, and two parameter-uniform inf-sup theorems are proved that recover and analyze many existing finite element, discontinuous Galerkin, hybridized, and weak Galerkin methods.
Finite difference method based on variation principle
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An Extended Galerkin Analysis for Elliptic Problems
A four-field Galerkin formulation with two boundary trace corrections is introduced, and two parameter-uniform inf-sup theorems are proved that recover and analyze many existing finite element, discontinuous Galerkin, hybridized, and weak Galerkin methods.