Multiscale and stabilized methods
TJR Hughes, G Scovazzi… - … mechanics second edition, 2018 - Wiley Online Library
This chapter presents an introduction to multiscale and stabilized methods, which represent
unified approaches to modeling and numerical solution of fluid dynamic phenomena. Finite …
unified approaches to modeling and numerical solution of fluid dynamic phenomena. Finite …
A simple, stable, and accurate linear tetrahedral finite element for transient, nearly, and fully incompressible solid dynamics: a dynamic variational multiscale approach
G Scovazzi, B Carnes, X Zeng… - International Journal for …, 2016 - Wiley Online Library
We propose a new approach for the stabilization of linear tetrahedral finite elements in the
case of nearly incompressible transient solid dynamics computations. Our method is based …
case of nearly incompressible transient solid dynamics computations. Our method is based …
The shifted boundary method for hyperbolic systems: Embedded domain computations of linear waves and shallow water flows
We propose a new computational approach for embedded boundary simulations of
hyperbolic systems and, in particular, the linear wave equations and the nonlinear shallow …
hyperbolic systems and, in particular, the linear wave equations and the nonlinear shallow …
A velocity/stress mixed stabilized nodal finite element for elastodynamics: Analysis and computations with strongly and weakly enforced boundary conditions
A new nodal mixed finite element is proposed for the simulation of linear elastodynamics
and wave propagation problems in time domain. Our method is based on equal-order …
and wave propagation problems in time domain. Our method is based on equal-order …
[HTML][HTML] A simple diffuse interface approach on adaptive Cartesian grids for the linear elastic wave equations with complex topography
M Tavelli, M Dumbser, DE Charrier… - Journal of …, 2019 - Elsevier
In most classical approaches of computational geophysics for seismic wave propagation
problems, complex surface topography is either accounted for by boundary-fitted …
problems, complex surface topography is either accounted for by boundary-fitted …
Weak boundary conditions for Lagrangian shock hydrodynamics: A high-order finite element implementation on curved boundaries
We propose a new Nitsche-type approach for weak enforcement of normal velocity
boundary conditions for a Lagrangian discretization of the compressible shock …
boundary conditions for a Lagrangian discretization of the compressible shock …
[HTML][HTML] Arbitrary high order accurate space–time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity
M Tavelli, M Dumbser - Journal of Computational Physics, 2018 - Elsevier
In this paper we propose a new high order accurate space–time discontinuous Galerkin
(DG) finite element scheme for the solution of the linear elastic wave equations in first order …
(DG) finite element scheme for the solution of the linear elastic wave equations in first order …
Embedded domain Reduced Basis Models for the shallow water hyperbolic equations with the Shifted Boundary Method
We consider fully discrete embedded finite element approximations for a shallow water
hyperbolic problem and its reduced-order model. Our approach is based on a fixed …
hyperbolic problem and its reduced-order model. Our approach is based on a fixed …
Full-anisotropic poroelastic wave modeling: A discontinuous Galerkin algorithm with a generalized wave impedance
In the discontinuous Galerkin framework, a generalized anisotropic wave impedance is
proposed, to succinctly solve the Riemann problem for 3-D full-anisotropic poroelastic …
proposed, to succinctly solve the Riemann problem for 3-D full-anisotropic poroelastic …
A variational multiscale finite element method for monolithic ALE computations of shock hydrodynamics using nodal elements
X Zeng, G Scovazzi - Journal of Computational Physics, 2016 - Elsevier
We present a monolithic arbitrary Lagrangian–Eulerian (ALE) finite element method for
computing highly transient flows with strong shocks. We use a variational multiscale (VMS) …
computing highly transient flows with strong shocks. We use a variational multiscale (VMS) …