A domain-specific embedded language in C++ for lowest-order discretizations of diffusive problems on general meshes
type: Item
instance of: scholarly article
title: A domain-specific embedded language in C++ for lowest-order discretizations of diffusive problems on general meshes
zbMATH Open document ID: 1262.65148
author: Daniele A. Di Pietro
author: J.-M. Gratien
author: Christophe Prud'homme
published in: BIT
publication date: 2013-04-03T00:00:00Z
Mathematics Subject Classification ID: 65N08
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N06
zbMATH DE Number: 6150067
zbMATH Keywords: domain specific embedded language
zbMATH Keywords: finite volume methods
zbMATH Keywords: cell centered Galerkin methods
zbMATH Keywords: Petrov-Galerkin methods
zbMATH Keywords: numerical examples
zbMATH Keywords: mimetic finite difference-type schemes
zbMATH Keywords: finite element methods
describes a project that uses: FEniCS
describes a project that uses: SyFi
describes a project that uses: Feel++
describes a project that uses: Gmsh
describes a project that uses: FreeFem++
MaRDI profile type: Publication
full work available at URL: s10543-012-0403-3
OpenAlex ID: W1992322819
cites work: Discretization on Unstructured Grids for Inhomogeneous, Anisotropic Media. Part I: Derivation of the Methods
cites work: A compact multipoint flux approximation method with improved robustness
cites work: The G method for heterogeneous anisotropic diffusion on general meshes
cites work: An Interior Penalty Finite Element Method with Discontinuous Elements
cites work: On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations
cites work: Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes
cites work: A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES
cites work: Low Order Discontinuous Galerkin Methods for Second Order Elliptic Problems
cites work: Q3126804
cites work: Cell centered Galerkin methods
cites work: A compact cell-centered Galerkin method with subgrid stabilization
cites work: Cell centered Galerkin methods for diffusive problems
cites work: Mathematical aspects of discontinuous Galerkin methods.
cites work: Analysis of a discontinuous Galerkin method for heterogeneous diffusion problems with low-regularity solutions
cites work: Lowest order methods for diffusive problems on general meshes: A unified approach to definition and implementation
cites work: A mixed finite volume scheme for anisotropic diffusion problems on any grid
cites work: A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS
cites work: Finite volume discretization with imposed flux continuity for the general tensor pressure equation
cites work: Theory and practice of finite elements.
cites work: Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
cites work: 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids
cites work: Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
cites work: Discontinuous Galerkin and the Crouzeix–Raviart element: Application to elasticity
cites work: Q4593456
cites work: Automated solution of differential equations by the finite element method. The FEniCS book
cites work: Unified Embedded Parallel Finite Element Computations via Software-Based Fréchet Differentiation
cites work: Feel++ : A computational framework for Galerkin Methods and Advanced Numerical Methods
DOI: 10.1007/S10543-012-0403-3
description: scientific article; zbMATH DE number 6150067