5 papers
Hybridizable discontinuous Galerkin methods for poroelastic wave propagation with symmetric stress approximation
Jeonghun J. Lee, Manuel A. Sanchez
In this paper, we develop hybridized discontinuous Galerkin (HDG) methods for poroelastic wave equations. We first rewrite the governing equations to a first-order symmetric hyperb…
Robust flux error estimation of an unfitted Nitsche method for high-contrast interface problems
Erik Burman, Johnny Guzman, Manuel A. Sanchez +1
We prove an optimal error estimate for the flux variable for a stabilized unfitted Nitsche finite element method applied to an elliptic interface problem with discontinuous constan…
Computing the Bézier Control Points of the Lagrangian Interpolant in Arbitrary Dimension
Mark Ainsworth, Manuel A. Sánchez
The Bernstein-Bézier form of a polynomial is widely used in the fields of computer aided geometric design, spline approximation theory and, more recently, for high order finite ele…
A finite element method for high-contrast interface problems with error estimates independent of contrast
Johnny Guzman, Manuel A. Sanchez, Marcus Sarkis
We define a new finite element method for a steady state elliptic problem with discontinuous diffusion coefficients where the meshes are not aligned with the interface. We prove op…
Higher-order finite element methods for elliptic problems with interfaces
Johnny Guzman, Manuel A. Sanchez, Marcus Sarkis
We present higher-order piecewise continuous finite element methods for solving a class of interface problems in two dimensions. The method is based on correction terms added to th…