Camellia: a software framework for discontinuous Petrov-Galerkin methods

DOI10.1016/j.camwa.2014.08.010zbMath1364.65002OpenAlexW2003453600WikidataQ115099989 ScholiaQ115099989MaRDI QIDQ2628405

Nathan V. Roberts

Publication date: 2 June 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.08.010

zbMATH Keywords

adaptive finite elementsdiscontinuous Petrov-Galerkin

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Software, source code, etc. for problems pertaining to numerical analysis (65-04)

Related Items (12)

Local analysis of HDG methods for convection-dominated diffusion problems ⋮ A discontinuous Petrov-Galerkin methodology for adaptive solutions to the incompressible Navier-Stokes equations ⋮ A first order system least squares method for the Helmholtz equation ⋮ A geometric multigrid preconditioning strategy for DPG system matrices ⋮ On perfectly matched layers for discontinuous Petrov-Galerkin methods ⋮ Combining the DPG method with finite elements ⋮ The DPG-star method ⋮ Coupled variational formulations of linear elasticity and the DPG methodology ⋮ Automatic variationally stable analysis for finite element computations: transient convection-diffusion problems ⋮ Using a DPG method to validate DMA experimental calibration of viscoelastic materials ⋮ Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov--Galerkin Methods ⋮ Camellia: a rapid development framework for finite element solvers

Uses Software

• deal.ii
• MUMPS
• Trilinos
• KLU
• libMesh
• Camellia
• Camellia

Cites Work

• A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
• A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms
• The DPG method for the Stokes problem
• A class of discontinuous Petrov-Galerkin methods. IV: The optimal test norm and time-harmonic wave propagation in 1D
• A class of discontinuous Petrov-Galerkin methods. I: The transport equation
• Automated solution of differential equations by the finite element method. The FEniCS book
• A DPG method for steady viscous compressible flow
• Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
• Adaptivity and variational stabilization for convection-diffusion equations
• Algorithm 907
• Algorithms and data structures for massively parallel generic adaptive finite element codes
• A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions
• Analysis of the DPG Method for the Poisson Equation
• An overview of the Trilinos project
• deal.II—A general-purpose object-oriented finite element library
• A Petrov-Galerkin discretization with optimal test space of a mild-weak formulation of convection-diffusion equations in mixed form
• On the Finite Element Solution of the Pure Neumann Problem
• Computing with hp-ADAPTIVE FINITE ELEMENTS
• Viscous and resistive eddies near a sharp corner
• Unnamed Item

This page was built for publication: Camellia: a software framework for discontinuous Petrov-Galerkin methods