High order symmetric direct discontinuous Galerkin method for elliptic interface problems with fitted mesh
type: Item
instance of: scholarly article
title: High order symmetric direct discontinuous Galerkin method for elliptic interface problems with fitted mesh
zbMATH Open document ID: 1435.65204
author: Hongying Huang
author: Jin Li
author: Jue Yan
published in: Journal of Computational Physics
publication date: 2020-07-02T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 7216797
zbMATH Keywords: direct discontinuous Galerkin method
zbMATH Keywords: elliptic interface problem
MaRDI profile type: Publication
full work available at URL: j.jcp.2020.109301
OpenAlex ID: W3006047440
cites work: Q5862212
cites work: An Interior Penalty Finite Element Method with Discontinuous Elements
cites work: A Triangulation Algorithm for Fast Elliptic Solvers Based on Domain Imbedding
cites work: Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method
cites work: A Local Discontinuous Galerkin Method for Nonlinear Diffusion Problems with Mixed Boundary Conditions
cites work: On the coupling of local discontinuous Galerkin and boundary element methods for non-linear exterior transmission problems
cites work: Third order maximum-principle-satisfying direct discontinuous Galerkin methods for time dependent convection diffusion equations on unstructured triangular meshes
cites work: Finite element methods and their convergence for elliptic and parabolic interface problems
cites work: A new multiscale finite element method for high-contrast elliptic interface problems
cites work: The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
cites work: High degree efficient symmetrical Gaussian quadrature rules for the triangle
cites work: Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions
cites work: Higher-order finite element methods for elliptic problems with interfaces
cites work: Q3085563
cites work: Numerical method for solving matrix coefficient elliptic equation with sharp-edged interfaces
cites work: Direct discontinuous Galerkin method and its variations for second order elliptic equations
cites work: The direct coupling of local discontinuous Galerkin and natural boundary element method for nonlinear interface problem in \(\mathbb{R}^3\)
cites work: An unfitted interface penalty finite element method for elliptic interface problems
cites work: An Immersed Interface Method for Incompressible Navier--Stokes Equations
cites work: The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
cites work: The immersed interface method using a finite element formulation
cites work: An immersed finite element space and its approximation capability
cites work: Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems
cites work: The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems
cites work: The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections
cites work: Weak Galerkin methods for second order elliptic interface problems
cites work: Numerical analysis of blood flow in the heart
cites work: The immersed boundary method
cites work: Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
cites work: A New Direct Discontinuous Galerkin Method with Symmetric Structure for Nonlinear Diffusion Equations
cites work: Adaptive Mesh Refinement and Superconvergence for Two-Dimensional Interface Problems
cites work: An Elliptic Collocation-Finite Element Method with Interior Penalties
cites work: Fourier type super convergence study on DDGIC and symmetric DDG methods
cites work: A curved boundary treatment for discontinuous Galerkin schemes solving time dependent problems
cites work: On the fictitious-domain and interpolation formulations of the matched interface and boundary (MIB) method
DOI: 10.1016/J.JCP.2020.109301
Recommended article: High-order discontinuous Galerkin method for solving elliptic interface problems
Recommended article: A high-order hybridizable discontinuous Galerkin method for elliptic interface problems
Recommended article: A high order compact finite difference scheme for elliptic interface problems with discontinuous and high-contrast coefficients
Recommended article: High Order Discontinuous Galerkin Methods for Elliptic Problems on Surfaces
Recommended article: An Unfitted Hybrid High-Order Method for Elliptic Interface Problems
Recommended article: High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources
Recommended article: An unfitted discontinuous Galerkin method for elliptic interface problems
Recommended article: High-order finite difference schemes for elliptic problems with intersecting interfaces
Recommended article: High-order meshless method based on the generalized finite difference method for 2D and 3D elliptic interface problems
Recommended article: Very high order discontinuous Galerkin method in elliptic problems
description: scientific article; zbMATH DE number 7216797