Exploració per tema "Interior penalty method"
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A Cº interior penalty method for 4th order PDEs
(2020-12-01)
Article
Accés obertA method to solve 4th-order PDEs using the Finite Element Method (FEM) with standard C0 elements is derived and studied. It is based on a special weak form accounting for the discontinuous derivatives of the approximation ... -
Analysis of the discontinuous Galerkin interior penalty method with solenoidal approximations for the stokes equations
(2014)
Article
Accés obertThe discontinuous Galerkin Interior Penalty Method with solenoidal approximations proposed in [13] for the incompressible Stokes equations is analyzed. Continuity and coercivity of the bilinear form are proved. A priori ... -
C0-IPM with generalised periodicity and application to flexoelectricity-based 2D metamaterials
(2022-05-18)
Article
Accés obertWe propose a methodology to solve high-order PDE boundary value problems with generalised periodicity, in the framework of the C0 interior penalty method. The method is developed for the analysis of flexoelectricity- based ... -
On the contact domain method: a comparison of penalty and Lagrange multiplier implementations
(2012-01)
Article
Accés obertThis work focuses on the assessment of the relative performance of the so-called contact domain method, using either the Lagrange multiplier or the penalty strategies. The mathematical formulation of the contact domain ...