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References from Stability analysis of discontinuous Galerkin with a high order embedded boundary treatment for hyperbolic equations. Local targets link to admitted publications; unresolved targets remain external evidence.
Triangular Mesh Methods for the Neutron Transport Equation
1973 · External reference
Runge–Kutta discontinuous Galerkin methods for convection-dominated problems
10.1023/a:1012873910884 · 2001 · External reference
High-order CFD methods: current status and perspective
10.1002/fld.3767 · 2013 · External reference
High-order accurate discontinuous finite element solution of the 2D Euler equations
10.1006/jcph.1997.5454 · 1997 · External reference
Curved mesh generation and mesh refinement using Lagrangian solid mechanics
2009 · External reference
An isoparametric approach to high-order curvilinear boundary-layer meshing
10.1016/j.cma.2014.09.019 · 2015 · External reference
Aerodynamic shape optimization with curved mesh adaptation
2025 · External reference
Numerical analysis of blood flow in the heart
10.1016/0021-9991(77)90100-0 · 1977 · External reference
The immersed boundary method
10.1017/s0962492902000077 · 2002 · External reference
Immersed boundary methods
10.1146/annurev.fluid.37.061903.175743 · 2005 · External reference
Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations
10.1006/jcph.2000.6484 · 2000 · External reference
An unfitted finite element method, based on nitsche’s method, for elliptic interface problems
10.1016/s0045-7825(02)00524-8 · 2002 · External reference
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
10.1006/jcph.1999.6236 · 1999 · External reference
Progress towards a Cartesian cut-cell method for viscous compressible flow
2012 · External reference
A conservative coupling algorithm between a compressible flow and a rigid body using an embedded boundary method
10.1016/j.jcp.2012.01.002 · 2012 · External reference
Finite-difference ghost-point multigrid methods on Cartesian grids for elliptic problems in arbitrary domains
10.1016/j.jcp.2012.11.047 · 2013 · External reference
Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws
10.1016/j.jcp.2010.07.014 · 2010 · External reference
The high-order shifted boundary method and its analysis
10.1016/j.cma.2022.114885 · 2022 · External reference
A two-dimensional stabilized discontinuous Galerkin method on curvilinear embedded boundary grids
10.1137/21m1396277 · 2022 · External reference
Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes
10.1016/j.amc.2022.127698 · 2023 · External reference
The shifted boundary method for embedded domain computations. Part I: poisson and stokes problems
10.1016/j.jcp.2017.10.026 · 2018 · External reference
Extrapolated shock tracking: bridging shock-fitting and embedded boundary methods
10.1016/j.jcp.2020.109440 · 2020 · External reference
Extrapolated DIscontinuity tracking for complex 2D shock interactions
10.1016/j.cma.2021.114543 · 2022 · External reference
Extrapolated shock fitting for two-dimensional flows on structured grids
10.2514/1.j061893 · 2022 · External reference
Very high-order accurate finite volume scheme on curved boundaries for the two-dimensional steady-state convection–diffusion equation with Dirichlet condition
10.1016/j.apm.2017.10.016 · 2018 · External reference
A cut finite element method with boundary value correction
10.1090/mcom/3240 · 2018 · External reference
Very high order treatment of embedded curved boundaries in compressible flows: ADER discontinuous Galerkin with a space-time reconstruction for off-site data
10.1016/j.camwa.2024.08.028 · 2024 · External reference
High order treatment of moving curved boundaries: Arbitrary-Lagrangian-Eulerian methods with a shifted boundary polynomial correction
10.1016/j.jcp.2025.114215 · 2025 · External reference
A spectral element solution of the Poisson equation with shifted boundary polynomial corrections: influence of the surrogate to true boundary mapping and an asymptotically preserving robin formulation
10.1007/s10915-024-02713-z · 2025 · External reference
Development and stability analysis of the inverse Lax−Wendroff boundary treatment for central compact schemes
10.1051/m2an/2014024 · 2015 · External reference
Spectral analysis of continuous FEM for hyperbolic PDEs: influence of approximation, stabilization, and time-stepping
10.1007/s10915-021-01632-7 · 2021 · External reference
Inverse Lax-Wendroff boundary treatment of discontinuous Galerkin method for 1D conservation laws
10.1007/s42967-024-00391-0 · 2025 · External reference
Stability analysis of the inverse Lax–Wendroff boundary treatment for high order upwind-biased finite difference schemes
10.1016/j.cam.2015.11.038 · 2016 · External reference
A note on the stability of cut cells and cell merging
10.1016/j.apnum.2015.05.003 · 2015 · External reference
Unresolved reference
2016 · External reference
A weighted shifted boundary method for the navier-Stokes equations with immersed moving boundaries
2025 · External reference
Unresolved reference
2007 · External reference
Analysis for implicit and implicit-explicit ADER and DeC methods for ordinary differential equations, advection-diffusion and advection-dispersion equations
10.1016/j.apnum.2024.12.013 · 2025 · External reference
An explicit implicit scheme for cut cells in embedded boundary meshes
10.1007/s10915-016-0326-2 · 2017 · External reference
A stable and conservative interface treatment of arbitrary spatial accuracy
10.1006/jcph.1998.6114 · 1999 · External reference
Boundary procedures for summation-by-parts operators
10.1023/a:1020342429644 · 2003 · External reference
High-order CFD methods: current status and perspective
10.1002/fld.3767 · ExternalCitation · doi-reference
High-order accurate discontinuous finite element solution of the 2D Euler equations
10.1006/jcph.1997.5454 · ExternalCitation · doi-reference
A stable and conservative interface treatment of arbitrary spatial accuracy
10.1006/jcph.1998.6114 · ExternalCitation · doi-reference
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
10.1006/jcph.1999.6236 · ExternalCitation · doi-reference
Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations
10.1006/jcph.2000.6484 · ExternalCitation · doi-reference
An explicit implicit scheme for cut cells in embedded boundary meshes
10.1007/s10915-016-0326-2 · ExternalCitation · doi-reference
Spectral analysis of continuous FEM for hyperbolic PDEs: influence of approximation, stabilization, and time-stepping
10.1007/s10915-021-01632-7 · ExternalCitation · doi-reference
A spectral element solution of the Poisson equation with shifted boundary polynomial corrections: influence of the surrogate to true boundary mapping and an asymptotically preserving robin formulation
10.1007/s10915-024-02713-z · ExternalCitation · doi-reference
Inverse Lax-Wendroff boundary treatment of discontinuous Galerkin method for 1D conservation laws
10.1007/s42967-024-00391-0 · ExternalCitation · doi-reference
Numerical analysis of blood flow in the heart
10.1016/0021-9991(77)90100-0 · ExternalCitation · doi-reference
Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes
10.1016/j.amc.2022.127698 · ExternalCitation · doi-reference
Very high-order accurate finite volume scheme on curved boundaries for the two-dimensional steady-state convection–diffusion equation with Dirichlet condition
10.1016/j.apm.2017.10.016 · ExternalCitation · doi-reference
A note on the stability of cut cells and cell merging
10.1016/j.apnum.2015.05.003 · ExternalCitation · doi-reference
Analysis for implicit and implicit-explicit ADER and DeC methods for ordinary differential equations, advection-diffusion and advection-dispersion equations
10.1016/j.apnum.2024.12.013 · ExternalCitation · doi-reference
Stability analysis of the inverse Lax–Wendroff boundary treatment for high order upwind-biased finite difference schemes
10.1016/j.cam.2015.11.038 · ExternalCitation · doi-reference
Very high order treatment of embedded curved boundaries in compressible flows: ADER discontinuous Galerkin with a space-time reconstruction for off-site data
10.1016/j.camwa.2024.08.028 · ExternalCitation · doi-reference
An isoparametric approach to high-order curvilinear boundary-layer meshing
10.1016/j.cma.2014.09.019 · ExternalCitation · doi-reference
Extrapolated DIscontinuity tracking for complex 2D shock interactions
10.1016/j.cma.2021.114543 · ExternalCitation · doi-reference
The high-order shifted boundary method and its analysis
10.1016/j.cma.2022.114885 · ExternalCitation · doi-reference
Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws
10.1016/j.jcp.2010.07.014 · ExternalCitation · doi-reference
A conservative coupling algorithm between a compressible flow and a rigid body using an embedded boundary method
10.1016/j.jcp.2012.01.002 · ExternalCitation · doi-reference
Finite-difference ghost-point multigrid methods on Cartesian grids for elliptic problems in arbitrary domains
10.1016/j.jcp.2012.11.047 · ExternalCitation · doi-reference
The shifted boundary method for embedded domain computations. Part I: poisson and stokes problems
10.1016/j.jcp.2017.10.026 · ExternalCitation · doi-reference
Extrapolated shock tracking: bridging shock-fitting and embedded boundary methods
10.1016/j.jcp.2020.109440 · ExternalCitation · doi-reference
High order treatment of moving curved boundaries: Arbitrary-Lagrangian-Eulerian methods with a shifted boundary polynomial correction
10.1016/j.jcp.2025.114215 · ExternalCitation · doi-reference
An unfitted finite element method, based on nitsche’s method, for elliptic interface problems
10.1016/s0045-7825(02)00524-8 · ExternalCitation · doi-reference
The immersed boundary method
10.1017/s0962492902000077 · ExternalCitation · doi-reference
Runge–Kutta discontinuous Galerkin methods for convection-dominated problems
10.1023/a:1012873910884 · ExternalCitation · doi-reference
Boundary procedures for summation-by-parts operators
10.1023/a:1020342429644 · ExternalCitation · doi-reference
Development and stability analysis of the inverse Lax−Wendroff boundary treatment for central compact schemes
10.1051/m2an/2014024 · ExternalCitation · doi-reference
A cut finite element method with boundary value correction
10.1090/mcom/3240 · ExternalCitation · doi-reference
A two-dimensional stabilized discontinuous Galerkin method on curvilinear embedded boundary grids
10.1137/21m1396277 · ExternalCitation · doi-reference
Immersed boundary methods
10.1146/annurev.fluid.37.061903.175743 · ExternalCitation · doi-reference
Extrapolated shock fitting for two-dimensional flows on structured grids
10.2514/1.j061893 · ExternalCitation · doi-reference
